NURBS surface. More...

#include <surf_spline_surface.h>

Inheritance diagram for MbSplineSurface:

Collaboration diagram for MbSplineSurface:

Public Member Functions
	MbSplineSurface ()
	Empty constructor.

	MbSplineSurface (size_t uDeg, size_t vDeg, bool uCls, bool vCls, const Array2< MbCartPoint3D > &initPoints, const SArray< double > &initUKnots, const SArray< double > &initVKnots)
	Constructor of NURBS surface. More...

	MbSplineSurface (size_t uDeg, size_t vDeg, bool uCls, bool vCls, const Array2< MbCartPoint3D > &initPoints, const Array2< double > &initWeights, const SArray< double > &initUKnots, const SArray< double > &initVKnots)
	Constructor of NURBS surface. More...

	MbSplineSurface (const MbCartPoint3D &p1, const MbCartPoint3D &p2, const MbCartPoint3D &p3, const MbCartPoint3D &p4, size_t iDegreeU, size_t iDegreeV, size_t iCountU, size_t iCountV)
	Constructor of NURBS surface by four angles of counterclockwise traverse. More...

void	Init (const MbSplineSurface &)
	The initialization by another surface.

bool	Init (const Array2< MbCartPoint3D > &cPoints, const Array2< double > &pWeights)
	Initialization of filled surface. More...

bool	Init (size_t iDegreeU, size_t iDegreeV, bool iClosedU, bool iClosedV)
	Initialization of filled surface. More...

bool	InitParasolid (bool uCls, bool vCls, bool brational, size_t uDgr, size_t vDgr, ptrdiff_t uCnt, ptrdiff_t vCnt, const CcArray< double > &vcs, ptrdiff_t vcsCnt, const CcArray< ptrdiff_t > &uKMul, ptrdiff_t uKMulCnt, const CcArray< ptrdiff_t > &vKMul, ptrdiff_t vKMulCnt, const CcArray< double > &uKnt, ptrdiff_t uKntCnt, const CcArray< double > &vKnt, ptrdiff_t vKntCnt, double scl)
	Fill spline surface by parasolid data. More...

Common functions of geometric object.
MbeSpaceType	IsA () const override
	Get the type of the object.

MbSpaceItem &	Duplicate (MbRegDuplicate *=nullptr) const override
	Create a copy of the object. More...

bool	IsSame (const MbSpaceItem &other, double accuracy=LENGTH_EPSILON) const override
	Determine whether an object is equal. More...

bool	SetEqual (const MbSpaceItem &) override
	Make objects equal if they are similar. More...

void	GetProperties (MbProperties &) override
	Outstanding properties of the object. More...

void	SetProperties (const MbProperties &) override
	Change the properties of an object. More...

void	GetBasisItems (RPArray< MbSpaceItem > &) override
	Outstanding reference objects in a container sent.

void	GetBasisPoints (MbControlData3D &) const override
	Get control points of object.

void	SetBasisPoints (const MbControlData3D &) override
	Change the object by control points.

Functions for surface domain description.
double	GetUMin () const override
	Get the minimum value of u.

double	GetVMin () const override
	Get the minimum value of v.

double	GetUMax () const override
	Get the maximum value of u.

double	GetVMax () const override
	Get the maximum value of v.

bool	IsUClosed () const override
	Determine whether a surface is closed in u-parameter direction. More...

bool	IsVClosed () const override
	Determine whether a surface is closed in v-parameter direction. More...

bool	IsUTouch () const override
	Determine whether a surface is closed in u-parameter direction regardless of the smoothness of the closure. More...

bool	IsVTouch () const override
	Determine whether a surface is closed in v-parameter direction regardless of the smoothness of the closure. More...

bool	IsUPeriodic () const override
	Determine whether a surface is closed in u-parameter direction. More...

bool	IsVPeriodic () const override
	Determine whether a surface is closed in v-parameter direction. More...

size_t	GetUCount () const override
	The number of splittings by u-parameter for a check of events.

size_t	GetVCount () const override
	The number of splittings by v-parameter for a check of events.

bool	GetPoleUMin () const override
	Whether a pole exists on parametric region boundary.

bool	GetPoleUMax () const override
	Whether a pole exists on parametric region boundary.

bool	GetPoleVMin () const override
	Whether a pole exists on parametric region boundary.

bool	GetPoleVMax () const override
	Whether a pole exists on parametric region boundary.

bool	IsPole (double u, double v, double paramPrecision=PARAM_PRECISION) const override
	Whether the point is a pole.

Functions for working at surface domain
Functions PointOn, Derive... correct parameters when getting out of rectangular domain bounds.
void	PointOn (double &u, double &v, MbCartPoint3D &) const override
	Calculate a point on the surface. More...

void	DeriveU (double &u, double &v, MbVector3D &) const override
	Calculate first derivative with respect to u.

void	DeriveV (double &u, double &v, MbVector3D &) const override
	Calculate first derivative with respect to v.

void	DeriveUU (double &u, double &v, MbVector3D &) const override
	Calculate second derivative with respect to u.

void	DeriveVV (double &u, double &v, MbVector3D &) const override
	Calculate second derivative with respect to v.

void	DeriveUV (double &u, double &v, MbVector3D &) const override
	Calculate second derivative.

void	DeriveUUU (double &u, double &v, MbVector3D &) const override
	Calculate third derivative.

void	DeriveUUV (double &u, double &v, MbVector3D &) const override
	Calculate third derivative.

void	DeriveUVV (double &u, double &v, MbVector3D &) const override
	Calculate third derivative.

void	DeriveVVV (double &u, double &v, MbVector3D &) const override
	Calculate third derivative.

void	Normal (double &u, double &v, MbVector3D &) const override
	Calculate normal.

void	Explore (double &u, double &v, MbCartPoint3D &pnt, MbVector3D &uDer, MbVector3D &vDer) const override
	Calculate point and first derivatives with respect to u and with respect to v. More...

Functions for working inside and outside the surface domain.
functions _PointOn, _Derive... of surfaces don't correct parameters when getting out of rectangular domain bounds. Outside the limits of parametric region a surface is extended along a tangent.
void	_PointOn (double u, double v, MbCartPoint3D &) const override
	Calculate a point on the surface. More...

void	_DeriveU (double u, double v, MbVector3D &) const override
	Calculate first derivative with respect to u on extended surface.

void	_DeriveV (double u, double v, MbVector3D &) const override
	Calculate first derivative with respect to v on extended surface.

void	_DeriveUU (double u, double v, MbVector3D &) const override
	Calculate second derivative with respect to u on extended surface.

void	_DeriveVV (double u, double v, MbVector3D &) const override
	Calculate second derivative with respect to v on extended surface.

void	_DeriveUV (double u, double v, MbVector3D &) const override
	Calculate second derivative on extended surface.

void	_DeriveUUU (double u, double v, MbVector3D &) const override
	Calculate third derivative on extended surface.

void	_DeriveUUV (double u, double v, MbVector3D &) const override
	Calculate third derivative on extended surface.

void	_DeriveUVV (double u, double v, MbVector3D &) const override
	Calculate third derivative on extended surface.

void	_DeriveVVV (double u, double v, MbVector3D &) const override
	Calculate third derivative on extended surface.

void	_Normal (double u, double v, MbVector3D &) const override
	Calculate a normal on extended surface.

Functions for get of the group of data inside and outside the surface's domain of parameters.
void	Explore (double &u, double &v, bool ext, MbCartPoint3D &pnt, MbVector3D &uDer, MbVector3D &vDer, MbVector3D uuDer, MbVector3D vvDer, MbVector3D uvDer, MbVector3D nor) const override
	Calculate point and derivatives of object for given parameters. More...

Functions of moving on surface
double	StepU (double u, double v, double sag) const override
	Calculate parameter step. More...

double	StepV (double u, double v, double sag) const override
	Calculate parameter step. More...

double	DeviationStepU (double u, double v, double sag) const override
	Calculate parameter step. More...

double	DeviationStepV (double u, double v, double sag) const override
	Calculate parameter step. More...

Public Member Functions inherited from MbPolySurface
MbeSpaceType	Type () const override
	Get the group object type.

void	Transform (const MbMatrix3D &, MbRegTransform *=nullptr) override
	Convert the object according to the matrix. More...

void	Move (const MbVector3D &, MbRegTransform *=nullptr) override
	Move an object along a vector. More...

void	Rotate (const MbAxis3D &, double angle, MbRegTransform *=nullptr) override
	Rotate an object around an axis at a given angle. More...

size_t	GetPointsLines () const
	Return rows count in points matrix.

size_t	GetPointsColumns () const
	Return columns count in points matrix.

void	GetPoint (size_t i, size_t j, MbCartPoint3D &pnt) const
	Get the point located at row i and column j. More...

void	SetPoint (size_t i, size_t j, const MbCartPoint3D &pnt)
	Change the point located at row i and column j. More...

void	MovePoint (size_t i, size_t j, const MbVector3D &v)
	Translate the point located at row i and column j by the given vector. More...

size_t	GetPointsUCount () const
	Get count of columns.

size_t	GetPointsVCount () const
	Get count of rows.

bool	GetPoints (Array2< MbCartPoint3D > &pnts) const
	Fill points matrix. More...

void	GetLineSegments (RPArray< MbCurve3D > &segments) const
	Get the array of segments. More...

Public Member Functions inherited from MbSurface
virtual	~MbSurface ()
	Destructor.

virtual void	Accept (Visitor &visitor)
	Implementation of a function initializing a visit of an object.

MbeSpaceType	Type () const override
	Get the group object type.

MbeSpaceType	Family () const override
	Get family of objects.

double	DistanceToPoint (const MbCartPoint3D &) const override
	Determine the distance to the point. More...

void	AddYourGabaritTo (MbCube &c) const override
	Expand sent bounding box (a.k.a. gabarit), so that it included the object. More...

void	Refresh () override
	Translate all the time (mutable) data objects in an inconsistent (initial) state.

virtual void	PrepareIntegralData (const bool forced) const
	Calculate temporary (mutable) data of an object. More...

void	CalculateMesh (const MbStepData &stepData, const MbFormNote &note, MbMesh &mesh) const override
	Build polygonal copy mesh. More...

MbProperty &	CreateProperty (MbePrompt name) const override
	Create your own property with the name.

void	GetBasisPoints (MbControlData3D &) const override
	Get control points of object.

void	SetBasisPoints (const MbControlData3D &) override
	Change the object by control points.

size_t	size () const
	Number of objects if object is interpreted as vector of objects.

const MbSurface *	operator[] (size_t) const
	An access operator.

virtual double	GetUPeriod () const
	Return period for smoothly closed surface or 0.

virtual double	GetVPeriod () const
	Return period for smoothly closed surface or 0.

virtual double	GetPeriod (ptrdiff_t i) const
	Return period. More...

virtual size_t	Periodicity () const
	Determine periodicity. More...

bool	IsPole (const MbCartPoint &uv, double paramPrecision=PARAM_PRECISION) const
	Whether the point is a pole.

virtual void	TangentU (double &u, double &v, MbVector3D &) const
	Calculate tangent vector in u.

virtual void	TangentV (double &u, double &v, MbVector3D &) const
	Calculate tangent vector in v.

virtual void	NormalU (double &u, double &v, MbVector3D &) const
	Calculate derivative of normal with respect to U.

virtual void	NormalV (double &u, double &v, MbVector3D &) const
	Calculate derivative of normal with respect to V.

virtual void	_TangentU (double u, double v, MbVector3D &) const
	Calculate tangent vector in u direction on extended surface.

virtual void	_TangentV (double u, double v, MbVector3D &) const
	Calculate tangent vector in v direction on extended surface.

virtual void	_NormalU (double u, double v, MbVector3D &) const
	Calculate derivative of normal vector on extended surface.

virtual void	_NormalV (double u, double v, MbVector3D &) const
	Calculate derivative of normal vector on extended surface.

virtual void	_NormalUU (double u, double v, MbVector3D &) const
	Calculate second derivative of normal vector on extended surface.

virtual void	_NormalUV (double u, double v, MbVector3D &) const
	Calculate second derivative of normal vector on extended surface.

virtual void	_NormalVV (double u, double v, MbVector3D &) const
	Calculate second derivative of normal vector on extended surface.

virtual void	_NormalD (double u, double v, double du, double dv, MbVector3D &der) const
	Calculate derivative of normal vector at the point with the given parameters u and v along the line with the given direction (du,dv).

virtual void	_NormalDD (double u, double v, double du, double dv, MbVector3D &der) const
	Calculate second derivative of normal vector at the point with the given parameters u and v along the line with the given direction (du,dv).

virtual void	_PointNormal (double u, double v, MbCartPoint3D &pnt, MbVector3D &deru, MbVector3D &derv, MbVector3D &norm, MbVector3D &noru, MbVector3D &norv, MbVector3D &deruu, MbVector3D &dervv, MbVector3D &deruv) const
	Calculate all derivatives at point. More...

virtual double	MetricStepU (double u, double v, double length) const
	Calculate parameter step. More...

virtual double	MetricStepV (double u, double v, double length) const
	Calculate parameter step. More...

double	SurfaceStep (const double &u, const double &v, bool alongU, const MbStepData &stepData) const
	Calculate parameter step. More...

virtual const MbSurface &	GetSurface () const
	Get itself (it is overloaded only in CurveBoundedSurface).

virtual const MbSurface &	GetBasisSurface () const
	Get the base surface if exists or itself.

virtual MbSurface &	SetSurface ()
	Get itself (it is overloaded only in CurveBoundedSurface).

virtual MbSurface &	SetBasisSurface ()
	Get the base surface if exists or itself.

virtual void	GetLimitPoint (ptrdiff_t number, MbCartPoint3D &pnt) const
	Calculate the boundary point. More...

virtual void	GetLimitPoint (ptrdiff_t number, MbCartPoint &pnt) const
	Calculate the boundary two-dimensional point. More...

MbCartPoint3D	GetLimitPoint (ptrdiff_t number) const
	Calculate the boundary point. More...

virtual double	CurvatureU (double u, double v) const
	Calculate line curvature along the direction of u. More...

virtual double	CurvatureV (double u, double v) const
	Calculate line curvature along the direction of v. More...

double	NormalCurvatureU (double u, double v) const
	Calculate a normal curvature of line along the direction of u. More...

double	NormalCurvatureV (double u, double v) const
	Calculate a normal curvature of line along the direction of v. More...

double	NormalCurvature (double u, double v, double du, double dv) const
	Calculate a normal curvature of surface. More...

bool	MeanGaussCurvature (double u, double v, double &mean, double &gauss) const
	Calculate the mean and the Gaussian curvature. More...

bool	MainCurvatures (double u, double v, double &c1, double &c2, double &du, double &dv) const
	Calculate the mean and the Gaussian curvature. More...

virtual bool	IsSameBase (const MbSurface &) const
	Whether a base surface is a copy of the base surface of the given object.

virtual bool	GetCentre (MbCartPoint3D &c) const
	Give the center of sphere surface.

virtual bool	GetCenterLines (std::vector< MbCurve3D * > &clCurves) const
	Get center lines of a surface.

virtual void	ChangeCarrier (const MbSpaceItem &item, MbSpaceItem &init)
	Changing of carrier. More...

virtual bool	ChangeCarrierBorne (const MbSurface &item, MbSurface &init, const MbMatrix &matr)
	Changing of carrier elements. More...

virtual bool	IsSpinePeriodic () const
	Periodicity of the guide. More...

MbSplineSurface *	NurbsSurface (bool bmatch=false) const
	Construct a NURBS copy of a surface. More...

bool	NurbsParam (const MbNurbsParameters &tParam, bool uParam, double op1, double op2, bool &isClosedNurbs, double &epsilon, SArray< double > &params) const
	Prepare parameters for the transformation to NURBS surface. More...

void	CheckApproxPointParamsOpen (bool isU, double par, size_t degree, size_t pCount, SArray< double > &tList, SArray< double > &aKnots) const
	Chose points for approximation along the parameter. More...

void	CheckApproxPointParamsClosed (bool isU, double par, size_t degree, size_t pCount, SArray< double > &tList, SArray< double > &aKnots) const
	Chose points for approximation along the parameter. More...

virtual MbSurface *	Offset (double d, bool same) const
	Create an offset surface. More...

virtual MbCurve3D *	CurveUV (const MbLineSegment &segm, bool bApprox=true) const
	Construct spatial copy of line by parametric line. More...

virtual MbeItemLocation	PointRelative (const MbCartPoint3D &pnt, double eps=ANGLE_REGION) const
	Get point location relative to the surface. More...

virtual MbeItemLocation	PointClassification (const MbCartPoint &pnt, bool ignoreClosed=false) const
	A point is located inside the region on a surface. More...

virtual double	DistanceToBorder (const MbCartPoint &point, double &epsilon) const
	Calculate the parametric distance to the nearest boundary. More...

virtual size_t	CurveClassification (const MbCurve &curve, SArray< double > &tcurv, SArray< MbVector > &dir) const
	Determine points of intersections between the curve and the surface contours. More...

size_t	SurfaceBorderIntersection (const MbCurve &curve, SArray< double > &tcurv, SArray< MbVector > &dir) const
	Determine points of intersections between the curve and the surface contours. More...

virtual MbeNewtonResult	PointProjectionNewton (const MbCartPoint3D &p, size_t iterLimit, double &u, double &v, bool ext) const
	Finding of point projection on surface. For internal use only.

virtual MbeNewtonResult	DirectPointProjectionNewton (const MbCartPoint3D &p, const MbVector3D &vect, size_t iterLimit, double &u, double &v, double &w, bool ext) const
	Finding of point projections to the surface in direction of the vector. For internal use only.

virtual bool	NearDirectPointProjection (const MbCartPoint3D &pnt, const MbVector3D &vect, double &u, double &v, bool ext, MbRect2D *uvRange=nullptr, bool onlyPositiveDirection=false) const
	Find the nearest point projection to the surface in the vector direction. More...

virtual MbeNewtonResult	CurveIntersectNewton (const MbCurve3D &curv1, double funcEpsilon, size_t iterLimit, double &u0, double &v0, double &t1, bool ext0, bool ext1) const
	Solution of equation system for determination of intersections between a surface and a curve. For internal use only.

virtual MbeNewtonResult	CurveTangentNewton (const MbCurve3D &curv1, double funcEpsilon, size_t iterLimit, double &u0, double &v0, double &t1, bool ext0, bool ext1) const
	Solution of equation system for determination of tangency between a surface and a curve. For internal use only.

virtual void	CurveIntersection (const MbCurve3D &curv, SArray< MbCartPoint > &uv, SArray< double > &tt, bool ext0, bool ext, bool touchInclude=false) const
	Determine points of intersection between a surface and a curve. More...

virtual MbeNewtonResult	SurfaceIntersectNewton (const MbSurface &surf1, MbeParamDir switchPar, double funcEpsilon, size_t iterLimit, double &u0, double &v0, double &u1, double &v1, bool ext0, bool ext1) const
	Solution of equation system for determination of surfaces intersections. For internal use only.

virtual MbeNewtonResult	SurfaceTangentNewton (const MbSurface &surf1, MbeParamDir switchPar, double funcEpsilon, size_t iterLimit, double &u0, double &v0, double &u1, double &v1, bool ext0, bool ext1) const
	Solution of equation system for determination of surfaces tangency. For internal use only.

virtual MbeNewtonResult	SilhouetteNewton (const MbVector3D &eye, bool perspective, const MbAxis3D *axis, MbeParamDir switchPar, double funcEpsilon, size_t iterLimit, double &u, double &v, bool ext) const
	Solution of equation system for determination of surface silhouette points. For internal use only.

virtual bool	ProjectCurveOnSimilarSurface (const MbCurve3D &spaceCurve, const MbCurve &curve, const MbSurface &surfNew, MbCurve *&curveNew) const
	Construction of projection of a surface curve on coincident surface. More...

bool	ProjectCurveOnSimilarSurface (const MbCurve3D &spaceCurve, const MbCurve &curve, const MbSurface &surfNew, SPtr< MbCurve > &curveNew) const
	Construction of projection of a surface curve on coincident surface. More...

virtual ThreeStates	Salient () const
	Determine whether the surface is convex. More...

virtual double	DistanceToCurve (const MbCurve3D &curve, double &u, double &v, double &t, bool tCalc=false) const
	Calculate the nearest distance to a curve. More...

virtual double	DistanceToSurface (const MbSurface &surf1, double &u0, double &v0, double &u1, double &v1) const
	Calculate the nearest distance to a surface. More...

virtual bool	CreateNormalPlacements (const MbVector3D &axisZ, double angle, SArray< MbPlacement3D > &places, VERSION version=Math::DefaultMathVersion()) const
	Construct normal placements of constructive planes.

virtual bool	CreateTangentPlacements (const MbVector3D &axisZ, SArray< MbPlacement3D > &places) const
	Construct tangent placements of constructive planes.

MbeNewtonResult	PlacementNewton (const MbVector3D &vec, double angle, MbeParamDir switchPar, size_t iterLimit, double &u, double &v) const
	Construct tangent placements of constructive planes. For internal use only.

bool	CreateVconstPlacements (const MbVector3D &axisZ, double angle, bool normalPlace, SArray< MbPlacement3D > &places) const
	Construct the normal or tangent placements on v-lines.

bool	CreateUconstPlacements (const MbVector3D &axisZ, double angle, bool normalPlace, SArray< MbPlacement3D > &places) const
	Construct the normal or tangent placements on u-lines.

virtual double	ParamArea () const
	Calculate the area of parameters domain.

virtual size_t	GetUPairs (double v, SArray< double > &u) const
	Calculate U-pairs by V. More...

virtual size_t	GetVPairs (double u, SArray< double > &v) const
	Calculate V-pairs by U. More...

MbeNewtonResult	IsoclinalNewton (const MbVector3D &dir, size_t iterLimit, double &u, double &v) const
	Determination of parameters of a surface isocline point. For internal use only.

virtual void	GetIsoclinal (const MbVector3D &nor, SArray< MbCartPoint > &uv) const
	Find all isoclines of a surface. More...

virtual void	CalculateGabarit (MbCube &cube) const
	Calculate bounding box of surface. It is recommended to use GetGabarit.

void	CalculateLocalGabarit (const MbMatrix3D &into, MbCube &cube) const override
	Calculate bounding box in the local coordinate system.

const MbCube &	GetGabarit () const
	Calculate bounding box of surface.

const MbCube &	Cube () const
	Return saved bounding box. It should be empty. It is recommended to use GetGabarit.

void	SetDirtyGabarit () const
	Make the bounding box empty. For internal use only.

void	CopyGabarit (const MbSurface &s, const MbVector3D *to=nullptr)
	Copy the bounding box from the copy. More...

double	GetGabDiagonal () const
	Calculate the diagonal of the bounding box.

void	CalculateRect (const MbPlacement3D &place, MbRect &rect) const
	Calculate the rectangular bounding box of a surface in the given plane. More...

virtual MbContour &	MakeContour (bool sense) const
	Return the bounding two-dimensional contour. More...

virtual MbCurve &	MakeSegment (size_t i, bool sense) const
	Return a segment of the bounding two-dimensional contour. More...

MbCurve &	MakeCurve (size_t number1, size_t number2) const
	Return a segment of the bounding two-dimensional contour. More...

bool	SetLimit (const MbRect &)
	Set surface limits. For internal use only.

virtual void	SetExtendedParamRegion (double u1, double v1, double u2, double v2)
	Set extended limits of surface. For internal use only.

virtual void	IncludePoint (double u, double v)
	Include a point into domain. For internal use only.

double	GetMaxParamDeltaU () const
	Get the maximum increment of U-parameter.

double	GetMaxParamDeltaV () const
	Get the maximum increment of V-parameter.

virtual double	GetParamDelta () const
	Get the maximum increment of parameter.

virtual double	GetParamPrice () const
	Get the minimum distinguishable value of parameter.

virtual double	GetUParamToUnit () const
	Get increment of u-parameter, corresponding to the unit length in space.

virtual double	GetVParamToUnit () const
	Get increment of v-parameter, corresponding to the unit length in space.

virtual double	GetUParamToUnit (double u, double v) const
	Get increment of u-parameter, corresponding to the unit length in space.

virtual double	GetVParamToUnit (double u, double v) const
	Get increment of v-parameter, corresponding to the unit length in space.

double	GetUParamToUnit (const MbCartPoint &uv) const
	Get increment of u-parameter, corresponding to the unit length in space.

double	GetVParamToUnit (const MbCartPoint &uv) const
	Get increment of v-parameter, corresponding to the unit length in space.

virtual void	GetParamsToUnit (double u, double v, double &uParam, double &vParam) const
	Get increment of parameters, corresponding to the unit length in space.

double	GetUEpsilon () const
	Get the minimum distinguishable value of u-parameter. It corresponds to the length Math::metricEpsilon in space.

double	GetVEpsilon () const
	Get the minimum distinguishable value of v-parameter. It corresponds to the length Math::metricEpsilon in space.

double	GetUEpsilon (double u, double v) const
	Get the minimum distinguishable value of u-parameter. It corresponds to the length Math::metricEpsilon in space.

double	GetVEpsilon (double u, double v) const
	Get the minimum distinguishable value of v-parameter. It corresponds to the length Math::metricEpsilon in space.

double	GetURegion () const
	Get the minimum distinguishable value of u-parameter. It corresponds to the length Math::metricRegion in space.

double	GetVRegion () const
	Get the minimum distinguishable value of v-parameter. It corresponds to the length Math::metricRegion in space.

double	GetURegion (double u, double v) const
	Get the minimum distinguishable value of u-parameter. It corresponds to the length Math::metricRegion in space.

double	GetVRegion (double u, double v) const
	Get the minimum distinguishable value of v-parameter. It corresponds to the length Math::metricRegion in space.

void	CalculatePolygon (double minPar, double maxPar, double constPar, MbeParamDir dir, const MbStepData &stepData, MbPolygon3D &polygon) const
	Calculate polygon by u or v. More...

virtual void	CalculateSurfaceWire (const MbStepData &stepData, size_t beg, MbMesh &mesh, size_t uMeshCount=c3d::WIRE_MAX, size_t vMeshCount=c3d::WIRE_MAX) const
	Calculate mesh. More...

void	AddTesselation (const MbStepData &stepData, MbeParamDir dir, double u1, double u2, double v1, double v2, SArray< double > &uu, SArray< double > &vv) const
	Determine splitting of the surface parametric region according to direction. More...

virtual void	CalculateSurfaceGrid (const MbStepData &stepData, bool sense, MbGrid &grid) const
	Approximate a surface by triangular plates. More...

virtual bool	IsRectangular () const
	Determine whether derivatives with respect to u and v are orthogonal.

virtual bool	IsShift (const MbSpaceItem &obj, MbVector3D &dir, bool &isSame, double accuracy=LENGTH_EPSILON) const
	Determine whether the object is a translation. More...

bool	GetPlacement (MbPlacement3D *place, bool exact=false) const
	Get a local coordinate system of planar surface (or only a possibility of getting it).

bool	GetPlanePlacement (MbPlacement3D &place) const
	Get a local coordinate system if a surface is a plane.

bool	GetControlPlacement (MbPlacement3D &place, bool sameSense=true) const
	Construct a local coordinate system of a surface with origin at the middle point of base surface parametric limits. More...

bool	OrientPlacement (MbPlacement3D &place, bool normalSense=true) const
	Orient an axis X of a placement along the line of its intersection with surface.

bool	IsPointOn (const MbCartPoint3D &, double eps=METRIC_PRECISION) const
	Determine whether a point is located on a surface or not.

void	PointOn (MbCartPoint &uv, MbCartPoint3D &p) const
	Calculate the point on a surface inside the domain of surface.

void	_PointOn (const MbCartPoint &uv, MbCartPoint3D &p) const
	Calculate a point on a surface extension.

void	Normal (MbCartPoint &uv, MbVector3D &v) const
	Calculate the normal vector to a surface inside the domain of surface.

bool	GetMatrix (double xMin, double xMax, double yMin, double yMax, MbMatrix &matr) const
	Find a matrix of transformation for the curves on a surface when the parameterization is changed. More...

double	GetUMid () const
	The middle value of u.

double	GetVMid () const
	The middle value of v.

double	GetURange () const
	Parametric length by u.

double	GetVRange () const
	Parametric length by v.

void	GetRect (MbRect &r) const
	Get parametric bounding box.

void	GetRect (MbRect2D &r) const
	Get parametric bounding box.

Public Member Functions inherited from MbSpaceItem
virtual	~MbSpaceItem ()
	Destructor.

void	PrepareWrite () const
	Register object. More...

MbeRefType	RefType () const override
	Get a registration type (for copying, duplication).

bool	IsFamilyRegistrable () const override
	Whether the object belongs to a registrable family.

virtual bool	IsSimilar (const MbSpaceItem &item) const
	Determine whether an object is similar. More...

void	CalculateWire (const MbStepData &stepData, MbMesh &mesh) const

void	CalculateWire (double sag, MbMesh &mesh) const

Public Member Functions inherited from TapeBase
	TapeBase (RegistrableRec regs=noRegistrable)
	Constructor.

	TapeBase (const TapeBase &)
	Copy-constructor.

virtual	~TapeBase ()
	Destructor.

RegistrableRec	GetRegistrable () const
	Whether the stream class is registrable.

void	SetRegistrable (RegistrableRec regs=registrable) const
	Set the state of registration of the stream class.

virtual const char *	GetPureName (const VersionContainer &) const
	Get the class name.

Public Member Functions inherited from MbRefItem
refcount_t	GetUseCount () const
	Get count of references (get count of owners of an object).

refcount_t	AddRef () const
	Increase count of references by one.

refcount_t	DecRef () const
	Decrease count of references by one.

refcount_t	Release () const
	Decrease count of references by one and if count of references became zero, then remove itself.

Public Member Functions inherited from MbNestSyncItem
void	Lock () const
	Switch lock on (locking happens only in parallel region).

void	Unlock () const
	Switch lock off if locking has been set.

CommonRecursiveMutex *	GetLock () const
	Get a pointer to the mutex object. Return nullptr if no parallelism. For use in ScopedLock.

Protected Member Functions
	MbSplineSurface (const MbSplineSurface &)
	Copy-constructor.

Protected Member Functions inherited from MbPolySurface
	MbPolySurface ()
	Empty constructor.

	MbPolySurface (Array2< MbCartPoint3D > &vert, bool ucl, bool vcl)
	Constructor of surface. More...

	MbPolySurface (size_t nu, size_t nv, const SArray< MbCartPoint3D > &vert, bool ucl, bool vcl)
	Constructor of surface. More...

	MbPolySurface (const MbPolySurface &)
	Copy-constructor.

Protected Member Functions inherited from MbSurface
	MbSurface ()
	Constructor.

	MbSurface (const MbSurface &)
	Copy-constructor.

void	MoveGabarit (const MbVector3D &v)
	Move bounding box.

void	NormalCalculation (const MbVector3D &uDer, const MbVector3D &vDer, double u, double v, bool ext, MbVector3D &nor) const
	Normal calculation by derivatives uDer and vDer on point with parameters u, v.

double	StepAlong (double u, double v, double sag, bool alongU, double stepMinCoeff, const MbVector3D &der, const MbVector3D &sec) const
	Step calculation by sag.

double	DeviationStepAlong (double u, double v, double angle, bool alongU, const MbVector3D &der, const MbVector3D &sec) const
	Step calculation by normal deviation.

Protected Member Functions inherited from MbSpaceItem
	MbSpaceItem ()
	Default constructor.

Protected Member Functions inherited from MbRefItem
	MbRefItem ()
	Constructor without parameters.

Common functions of surface.
void	SetUClosed (bool cls) override
	Set the attribute of closedness in direction of u.

void	SetVClosed (bool cls) override
	Set the attribute of closedness in direction of v.

MbSplineSurface *	NurbsSurface (double umin, double umax, double vmin, double vmax, bool bmatch=false) const override
	Construct a NURBS copy of trimmed surface. More...

MbSurface *	NurbsSurface (const MbNurbsParameters &uParam, const MbNurbsParameters &vParam) const override
	Construct a NURBS copy of a surface. More...

MbCurve3D *	CurveU (double v, MbRect1D *pRgn, bool bApprox=true) const override
	Construct spatial copy of the line v = const. More...

MbCurve3D *	CurveV (double u, MbRect1D *pRgn, bool bApprox=true) const override
	Construct spatial copy of the line u = const. More...

void	Refresh () override
	Translate all the time (mutable) data objects in an inconsistent (initial) state.

void	Rebuild () override
	Rebuild a surface.

void	GetTesselation (const MbStepData &stepData, double u1, double u2, double v1, double v2, SArray< double > &uu, SArray< double > &vv) const override
	Determine a splitting of parametric region of a surface by verticals and horizontals. More...

bool	SetLimit (double u1, double v1, double u2, double v2) override
	Set surface limits. For internal use only.

void	CheckSurfParams (double &u, double &v) const override
	Check parameters. Analogue of the global function _CheckParams, optimized for caches usage. More...

MbSplineSurface *	Trimmed (double uBeg, double uEnd, double vBeg, double vEnd) const
	Construct a trimmed surface. More...

bool	IsPlanar (double accuracy=METRIC_EPSILON) const override
	Whether a surface is planar.

bool	NearPointProjection (const MbCartPoint3D &pnt, double &u, double &v, bool ext, MbRect2D *uvRange=nullptr) const override
	Find the projection of a point onto the surface. More...

void	DirectPointProjection (const MbCartPoint3D &pnt, const MbVector3D &vect, SArray< MbCartPoint > &uv, bool ext, MbRect2D *uvRange=nullptr) const override
	Find all a point projection onto the surface along a vector in either of two directions. More...

bool	IsKnotsTheSame (const MbSplineSurface &e, bool sameDir, double precision) const

bool	IsPointsTheSame (const MbSplineSurface &e, bool sameDir, bool uBeg, bool vBeg, double precision) const

bool	IsSimilarToSurface (const MbSurface &surf, VERSION version, double precision=METRIC_PRECISION) const override
	Define whether the surfaces are similar for merge. More...

bool	IsSpecialSimilarToSurface (const MbSurface &surf, VERSION version, double precision=METRIC_PRECISION) const override
	Whether the surfaces are similar to merge. Special case. For internal use only.

bool	GetMatrixToSurface (const MbSurface &surf, MbMatrix &matr, VERSION version, double precision=METRIC_PRECISION) const override
	Get two-dimensional matrix of transformation from its parametric region to the parametric region of 'surf'. More...

void	ChangeWeight (ptrdiff_t i, ptrdiff_t j, double w)
	Changing of one point weight. More...

bool	UDecompose ()
	Transform NURBS surface into surface whose number of control points is equal to the order of the surface in the first coordinate.

bool	VDecompose ()
	Transform NURBS surface into surface whose number of control points is equal to the order of the surface in the second coordinate.

bool	RaiseUDegree (size_t newDegree, double relEps)
	Increase order of surface by first coordinate without changing its geometric shape and parametrization. More...

bool	RaiseVDegree (size_t newDegree, double relEps)
	Increase order of surface by second coordinate without changing its geometric shape and parametrization. More...

void	SetDegree (bool isU, ptrdiff_t order)
	Changing of surface order. More...

MbMatrix	SetLimitParam (double pmin, double pmax, double qmin, double qmax)
	Set the range of parameters. More...

size_t	GetUDegree () const
	Get the order of B-spline by u.

size_t	GetVDegree () const
	Get the order of B-spline by v.

size_t	GetWeightsLines () const
	Get rows count in weights matrix.

size_t	GetWeightsColumns () const
	Get columns count in weights matrix.

double	GetWeight (ptrdiff_t i, ptrdiff_t j) const
	Get vertex weight. More...

void	GetWeights (Array2< double > &wts) const override
	Get the matrix of vertices weights. More...

size_t	GetKnotsCount (bool isU) const
	Get the number of elements in a knot vector. More...

void	GetKnots (bool isU, SArray< double > &knots) const override
	Get a knots vector by the chosen parameter. More...

double	GetKnot (bool isU, size_t i) const
	Get the value of one knot. More...

void	InsertUKnotsInRegion (ptrdiff_t idBegin, ptrdiff_t num=1) override
	Insertion of a row after the row with the index idBegin without changing of a surface by u. More...

void	InsertUKnots (double &newKnot, ptrdiff_t multiplicity)
	Insertion of a row with the value of the knot newKnot without changing of a surface by u. More...

void	InsertVKnotsInRegion (ptrdiff_t idBegin, ptrdiff_t num=1) override
	Insertion of a row after the row with the index idBegin without changing of a surface by v. More...

void	InsertVKnots (double &newKnot, ptrdiff_t multiplicity)
	Insertion of a row with the value of the knot newKnot without changing of a surface by v. More...

void	CalculateUVParameters (Array2< MbCartPoint > &params) const override
	Calculation of points on surface corresponding to knots. More...

bool	CalculateUVParameterForKnot (size_t uIndex, size_t vIndex, MbCartPoint &point) const override
	Calculation of point on surface corresponding to control point. More...

bool	CalculatePartsForSpecMove (const Array2< bool > &movedPoints, size_t uIndex, size_t vIndex, const MbVector3D &moveVector, MbeDirectSmoothType smoothType, double smoothDegree, Array2< double > &partsPoints) const override
	Calculation of a shift part of knots during the translation with blending. More...

bool	CalculateFixedPoints (const RPArray< const MbSurfaceIntersectionCurve > &curves, Array2< bool > &fixedPoints) const override
	Calculation of fixed control points. More...

bool	CalculateFixedLimits (const MbSurfaceCurve &curve, ptrdiff_t &u1, ptrdiff_t &u2, ptrdiff_t &v1, ptrdiff_t &v2) const

ptrdiff_t	RemoveUKnotsWithoutApprox (ptrdiff_t id, ptrdiff_t num, double relEps=Math::paramEpsilon, double absEps=Math::lengthEpsilon)

ptrdiff_t	RemoveVKnotsWithoutApprox (ptrdiff_t id, ptrdiff_t num, double relEps=Math::paramEpsilon, double absEps=Math::lengthEpsilon)

size_t	RemoveUKnots (ptrdiff_t &rowId, ptrdiff_t num=1, double absEps=Math::lengthEpsilon) override
	Deletion of a column of control points without changing of a surface. More...

size_t	RemoveVKnots (ptrdiff_t &rowId, ptrdiff_t num=1, double absEps=Math::lengthEpsilon) override
	Deletion of a row of control points without changing of a surface. More...

bool	ChangeUDegreeApprox (size_t newDegree) override
	Change the order of NURBS by construction of a surface by the function NurbsSurface. More...

bool	ChangeVDegreeApprox (size_t newDegree) override
	Change the order of NURBS by construction of a surface by the function NurbsSurface. More...

bool	ChangeParametersApprox (size_t nUDegree, size_t nVDegree, ptrdiff_t nUCount, ptrdiff_t nVCount) override
	Change the order and the number of knots of NURBS by construction of a surface by the function NurbsSurface. More...

bool	ApproxSurfWithoutMultKnots ()
	Rebuild a surface by the function NurbsSurface without multiple knots. More...

void	GetPointsWithVisible (Array2< MbNurbsPointInfo > &params) const override
	Return an array of knot points and their visibility for the operation of editing as spline. More...

void	ModifyPointsWithVisible (const Array2< MbCartPoint3D > &oldPoints, Array2< MbCartPoint3D > &newPoints) const
	Modify an array of knot points considering the moving of invisible points. More...

bool	UnClampedU (bool clm)
	Whether to clamp a knot vector. More...

bool	UnClampedV (bool clm)
	Whether to clamp a knot vector. More...

void	SetClampedU ()
	Make a clumped knot vector.

void	SetClampedV ()
	Make a clumped knot vector.

void	SetBordersTypes (bool cuMin, bool cuMax, bool cvMin, bool cvMax)
	Set types of surfaces boundaries. More...

bool	CheckPolePoint (const MbCartPoint3D &pnt, double absEps, bool bSet)
	Check whether a point is a pole and remove discontinuity of the first derivative. More...

void	SoftUTouch ()
	If surface is touched by U then remove the discontinuity of the first derivative.

void	SoftVTouch ()
	If surface is touched by V then remove the discontinuity of the first derivative.

bool	IsLineU () const override
	Check that all derivatives of surface with respect to u which have more than first order are equal to null.

bool	IsLineV () const override
	Check that all derivatives of surface with respect to v which have more than first order are equal to null.

double	GetRadius () const override
	Get the physical radius of the object or null if it impossible.

double	GetFilletRadius (const MbCartPoint3D &p, double accuracy=METRIC_REGION) const override
	Get fillet radius if the surface is a fillet surface.

MbeParamDir	GetFilletDirection (double accuracy=METRIC_REGION) const override
	Direction of fillet surface.

bool	GetCylinderAxis (MbAxis3D &) const override
	Get rotation axis of a surface.

size_t	GetUMeshCount () const override
	The the number of splittings in u-direction.

size_t	GetVMeshCount () const override
	The the number of splittings in v-direction.

bool	IsRational () const
	Check whether a surface is rational but not regular.

void	DeleteTesselation () const
	Delete the temporary data structure - surface tesselation.

MbCurve *	IsSplineBorder (const MbCurve3D &curve) const
	Create a two-dimensional curve if a space curve is a surface boundary. More...

void	DirectParallelRects (const MbVector3D &direction, std::vector< MbRect > &parallelRects) const
	Regions of a surface parallel to the direction. More...

bool	CheckUTouch (double precision) const
	Can the surface be closed by the first parameter?

bool	CheckVTouch (double precision) const
	Can the surface be closed by the second parameter?

Additional Inherited Members
Protected Attributes inherited from MbPolySurface
Array2< MbCartPoint3D >	points
	A matrix of control points.

bool	uclosed
	An attribute of closedness by u-parameter.

bool	vclosed
	An attribute of closedness by v-parameter.

size_t	ucount
	Count of columns.

size_t	vcount
	Count of rows.

Protected Attributes inherited from MbSurface
MbCube	cube
	Bounding box of surface. More...

Detailed Description

NURBS surface.

NURBS surface is constructed by a given matrix relative to control points. Each control point has a weight which is given in the matrix of weights (by default all weights are equal to 1).
Abbreviation of NURBS is obtained from the first letters of the Non-Uniform Rational B-Spline phrase. NURBS surface doesn't pass through its control points. Calculation of a surface at each point is performed on the basis of two families of normalized non-uniform B-splines.
Each family of B-splines is defined by the given nondecreasing sequence of knot parameters and the given order of B-spline. For an unclosed by the first parameter surface the knot vector 'uknots' should contain a count of columns of matrix control points plus udegree. For a closed by the first parameter surface the knot vector 'uknots' should contain a count of columns of matrix control points plus 2*udegree-1. For an unclosed by the second parameter surface the knot vector 'vknots' should contain a count of rows of matrix control points plus vdegree. For a closed by the second parameter surface the knot vector 'vknots' should contain a count of rows of matrix control points plus 2*vdegree-1.

Constructor & Destructor Documentation

◆ MbSplineSurface() [1/3]

MbSplineSurface::MbSplineSurface	(	size_t	uDeg,
		size_t	vDeg,
		bool	uCls,
		bool	vCls,
		const Array2< MbCartPoint3D > &	initPoints,
		const SArray< double > &	initUKnots,
		const SArray< double > &	initVKnots
	)

Constructor of NURBS surface.

Parameters

[in]	uDeg	- Splines order by U.
[in]	vDeg	- Splines order by V.
[in]	uCls	- Closedness of a surface in u direction.
[in]	vCls	- Closedness of a surface in v direction.
[in]	initPoints	- A matrix of control points.
[in]	initUKnots	- A knot vector by U.
[in]	initVKnots	- A knot vector by V.

◆ MbSplineSurface() [2/3]

MbSplineSurface::MbSplineSurface	(	size_t	uDeg,
		size_t	vDeg,
		bool	uCls,
		bool	vCls,
		const Array2< MbCartPoint3D > &	initPoints,
		const Array2< double > &	initWeights,
		const SArray< double > &	initUKnots,
		const SArray< double > &	initVKnots
	)

Constructor of NURBS surface.

Parameters

[in]	uDeg	- Splines degree by U.
[in]	vDeg	- Splines degree by V.
[in]	uCls	- Closedness of a surface in u direction.
[in]	vCls	- Closedness of a surface in v direction.
[in]	initPoints	- A matrix of control points.
[in]	initWeights	- Matrix of point weights.
[in]	initUKnots	- A knot vector by U.
[in]	initVKnots	- A knot vector by V.

◆ MbSplineSurface() [3/3]

MbSplineSurface::MbSplineSurface	(	const MbCartPoint3D &	p1,
		const MbCartPoint3D &	p2,
		const MbCartPoint3D &	p3,
		const MbCartPoint3D &	p4,
		size_t	iDegreeU,
		size_t	iDegreeV,
		size_t	iCountU,
		size_t	iCountV
	)

Constructor of NURBS surface by four angles of counterclockwise traverse.

Surface angles are given. Other points are uniformly distributed inside the rectangle which is given by angular points.

Parameters

[in]	p1	- Left bottom angle. It corresponds to the point (0,0).
[in]	p2	- Right bottom angle. It corresponds to the point (1, 0).
[in]	p3	- Right top angle. It corresponds to the point (1, 1).
[in]	p4	- Left top angle. It corresponds to the point (0, 1).
[in]	iDegreeU	- Splines degree by U.
[in]	iDegreeV	- Splines degree by V.
[in]	iCountU	- The number of points by u (the number of columns in the points matrix).
[in]	iCountV	- The number of points by v (the number of rows in the points matrix).

Member Function Documentation

◆ Init() [1/2]

bool MbSplineSurface::Init	(	const Array2< MbCartPoint3D > &	cPoints,
		const Array2< double > &	pWeights
	)

Initialization of filled surface.

Parameters

[in]	cPoints	- A matrix of control points.
[in]	pWeights	- Matrix of point weights.

◆ Init() [2/2]

bool MbSplineSurface::Init	(	size_t	iDegreeU,
		size_t	iDegreeV,
		bool	iClosedU,
		bool	iClosedV
	)

Initialization of filled surface.

Parameters

[in]	iDegreeU	- New degree of splines by u.
[in]	iDegreeV	- New degree of splines by v.
[in]	iClosedU	- Closedness of a surface in u direction.
[in]	iClosedV	- Closedness of a surface in v direction.

◆ InitParasolid()

bool MbSplineSurface::InitParasolid	(	bool	uCls,
		bool	vCls,
		bool	brational,
		size_t	uDgr,
		size_t	vDgr,
		ptrdiff_t	uCnt,
		ptrdiff_t	vCnt,
		const CcArray< double > &	vcs,
		ptrdiff_t	vcsCnt,
		const CcArray< ptrdiff_t > &	uKMul,
		ptrdiff_t	uKMulCnt,
		const CcArray< ptrdiff_t > &	vKMul,
		ptrdiff_t	vKMulCnt,
		const CcArray< double > &	uKnt,
		ptrdiff_t	uKntCnt,
		const CcArray< double > &	vKnt,
		ptrdiff_t	vKntCnt,
		double	scl
	)

Fill spline surface by parasolid data.

Parameters

[in]	uCls	- Closedness of a surface in u direction.
[in]	vCls	- Closedness of a surface in v direction.
[in]	brational	- Whether a surface is rational. true - NURBS surface is constructed, false - Bezier surface.
[in]	uDgr	- Splines degree by U.
[in]	vDgr	- Splines degree by V.
[in]	uCnt	- A number of points by U direction.
[in]	vCnt	- A number of points by V direction.
[in]	vcs	- A set of points coordinates.. If spline is rational, then the fourth coordinate is the weight of a point.
[in]	vcsCnt	- Count of elements in the array vcs.
[in]	uKMul	- A set with the data about the multiplicity of each knot by u.
[in]	uKMulCnt	- Count of elements in the array uKMul.
[in]	vKMul	- A set with the data about the multiplicity of each knot by v.
[in]	vKMulCnt	- Count of elements in the array vKMul.
[in]	uKnt	- A set with values of knots by u. Each value is represented once. Information about knot multiplicity is in the element of 'uKMul' array with the same index.
[in]	uKntCnt	- Count of elements in the array uKnt.
[in]	vKnt	- A set with values of knots by v. Each value is represented once. Information about knot multiplicity is in the element of 'vKMul ' array with the same index.
[in]	vKntCnt	- Count of elements in the array vKnt.
[in]	scl	- Scale factor.

◆ Duplicate()

MbSpaceItem& MbSplineSurface::Duplicate ( MbRegDuplicate * iReg = nullptr ) const

overridevirtual

Create a copy of the object.

Create a copy of an object using the registrator. Registrator is used to prevent multiple copy of the object. If the object contains references to the other objects, then nested objects are copied as well. It is allowed not to pass registrator into the function. Then new copy of object will be created. While copying of single object or set of not connected objects, it is allowed not to use registrator. Registrator should be used if it is required to copy several connected objects. It is possible, that objects connection is based on the references to common objects. Then, while copying without using of registrator, it is possible to obtain set of copies, that contain references to the different copies of the same nested object, that leads to loss of connection between copies.

Parameters

[in] iReg - Registrator.

Returns: A copy of the object.

Implements MbSpaceItem.

◆ IsSame()

bool MbSplineSurface::IsSame	(	const MbSpaceItem &	other,
		double	accuracy = `LENGTH_EPSILON`
	)		const

overridevirtual

Determine whether an object is equal.

Still considered objects of the same type, all data is the same (equal).

Parameters

[in]	item	- The object to compare.
[in]	accuracy	- The accuracy to compare.

Returns: Whether the objects are equal.

Implements MbSpaceItem.

◆ SetEqual()

bool MbSplineSurface::SetEqual ( const MbSpaceItem & item )

overridevirtual

Make objects equal if they are similar.

You can still make only a similar objects.

Parameters

[in] item - The object to initialize.

Returns: Object is changed.

Implements MbSpaceItem.

◆ GetProperties()

void MbSplineSurface::GetProperties ( MbProperties & properties )

overridevirtual

Outstanding properties of the object.

Issue internal data (properties) of the object for viewing and modification.

Parameters

[in] properties - Container for the internal data of the object.

Implements MbSpaceItem.

◆ SetProperties()

void MbSplineSurface::SetProperties ( const MbProperties & properties )

overridevirtual

Change the properties of an object.

Changing the internal data (properties) of the object you are copying the corresponding values from the sent object.

Parameters

[in] properties - Container for the internal data of the object.

Implements MbSpaceItem.

◆ IsUClosed()

bool MbSplineSurface::IsUClosed ( ) const

overridevirtual

Determine whether a surface is closed in u-parameter direction.

Determine whether a surface is closed smoothly in u-parameter direction without regard to the boundary contour. It is always false for MbCurveBoundSurface. It is recommended to use IsUPeriodic.

Reimplemented from MbPolySurface.

◆ IsVClosed()

bool MbSplineSurface::IsVClosed ( ) const

overridevirtual

Determine whether a surface is closed in v-parameter direction.

Determine whether a surface is closed smoothly in v-parameter direction without regard to the boundary contour. It is always false for MbCurveBoundSurface. It is recommended to use IsVPeriodic.

Reimplemented from MbPolySurface.

◆ IsUTouch()

bool MbSplineSurface::IsUTouch ( ) const

overridevirtual

Determine whether a surface is closed in u-parameter direction regardless of the smoothness of the closure.

Determine whether a surface is actually closed in u-parameter direction regardless of the smoothness of the closure.

Reimplemented from MbSurface.

◆ IsVTouch()

bool MbSplineSurface::IsVTouch ( ) const

overridevirtual

Determine whether a surface is closed in v-parameter direction regardless of the smoothness of the closure.

Determine whether a surface is actually closed in v-parameter direction regardless of the smoothness of the closure.

Reimplemented from MbSurface.

◆ IsUPeriodic()

bool MbSplineSurface::IsUPeriodic ( ) const

overridevirtual

Determine whether a surface is closed in u-parameter direction.

Determine whether a surface is smoothly closed in u-parameter direction.

Reimplemented from MbSurface.

◆ IsVPeriodic()

bool MbSplineSurface::IsVPeriodic ( ) const

overridevirtual

Determine whether a surface is closed in v-parameter direction.

Determine whether a surface is smoothly closed in v-parameter direction.

Reimplemented from MbSurface.

◆ PointOn()

void MbSplineSurface::PointOn	(	double &	u,
		double &	v,
		MbCartPoint3D &	p
	)		const

overridevirtual

Calculate a point on the surface.

Correct parameters when getting out of rectangular domain bounds and Calculate a point on the surface.

Parameters

[in]	u	- First surface parameter.
[in]	v	- Second surface parameter.
[out]	p	- A point on the surface.

Implements MbSurface.

◆ Explore() [1/2]

void MbSplineSurface::Explore	(	double &	u,
		double &	v,
		MbCartPoint3D &	pnt,
		MbVector3D &	uDer,
		MbVector3D &	vDer
	)		const

overridevirtual

Calculate point and first derivatives with respect to u and with respect to v.

Correct parameters when getting out of rectangular domain bounds and calculate point and first derivatives with respect to u and with respect to v.

Parameters

[in]	u	- Parameter.
[in]	v	- Parameter.
[out]	pnt	- Point.
[out]	uDer	- Derivative with respect to u.
[out]	vDer	- Derivative with respect to v.

Reimplemented from MbSurface.

◆ _PointOn()

void MbSplineSurface::_PointOn	(	double	u,
		double	v,
		MbCartPoint3D &	p
	)		const

overridevirtual

Calculate a point on the surface.

Calculate a point on the surface including the outside area determination parameters.

Parameters

[in]	u	- First surface parameter.
[in]	v	- Second surface parameter.
[out]	p	- A point on the surface or on extended surface.

Reimplemented from MbSurface.

◆ Explore() [2/2]

void MbSplineSurface::Explore	(	double &	u,
		double &	v,
		bool	ext,
		MbCartPoint3D &	pnt,
		MbVector3D &	uDer,
		MbVector3D &	vDer,
		MbVector3D *	uuDer,
		MbVector3D *	vvDer,
		MbVector3D *	uvDer,
		MbVector3D *	nor
	)		const

overridevirtual

Calculate point and derivatives of object for given parameters.

Values of point and derivatives are calculated on parameters area and on extended surface.

Parameters

[in]	u	- Parameter.
[in]	v	- Parameter.
[in]	ext	- On parameters area (false), on extended surface (true).
[out]	pnt	- Point.
[out]	uDer	- Derivative with respect to u.
[out]	vDer	- Derivative with respect to v.
[out]	uuDer	- Second derivative with respect to u, if not nullptr.
[out]	vvDer	- Second derivative with respect to v, if not nullptr.
[out]	uvDer	- Second derivative with respect to u and v, if not nullptr.

Reimplemented from MbSurface.

◆ StepU()

double MbSplineSurface::StepU	(	double	u,
		double	v,
		double	sag
	)		const

overridevirtual

Calculate parameter step.

Calculate parameter step for the surface approximation by its sag value along a line with a constant value of v. Calculation of the step is performed with consideration of curvature radius. A step of surface approximation along a curve is chosen in such way, that the deviation from its polygon does not exceed the given value of sag.

Parameters

[in]	u	- A parameter defining a point on the surface.
[in]	v	- A parameter defining a point on the surface.
[in]	sag	- Maximum feasible sag value.

Returns: A sag value by parameter at given point.

Reimplemented from MbSurface.

◆ StepV()

double MbSplineSurface::StepV	(	double	u,
		double	v,
		double	sag
	)		const

overridevirtual

Calculate parameter step.

Calculate parameter step for the surface approximation by its sag value along a line with a constant value of u. Calculation of the step is performed with consideration of curvature radius. A step of surface approximation along a curve is chosen in such way, that the deviation from its polygon does not exceed the given value of sag.

Parameters

[in]	u	- A parameter defining a point on the surface.
[in]	v	- A parameter defining a point on the surface.
[in]	sag	- Maximum feasible sag value.

Returns: A sag value by parameter at given point.

Reimplemented from MbSurface.

◆ DeviationStepU()

double MbSplineSurface::DeviationStepU	(	double	u,
		double	v,
		double	angle
	)		const

overridevirtual

Calculate parameter step.

Calculate parameter step for the surface approximation by the deviation angle of the tangent vector along a line with a constant value of u. A step of surface approximation along a curve is chosen in such way, that angular deviation of the tangent to the curve at the next point does not exceed the given value ang.

Parameters

[in]	u	- A parameter defining a point on the surface.
[in]	v	- A parameter defining a point on the surface.
[in]	ang	- The maximum feasible deviation angle of tangent.

Returns: A sag value by parameter at given point.

Reimplemented from MbSurface.

◆ DeviationStepV()

double MbSplineSurface::DeviationStepV	(	double	u,
		double	v,
		double	angle
	)		const

overridevirtual

Calculate parameter step.

Calculate parameter step for the surface approximation by the deviation angle of the tangent vector along a line with a constant value of v. A step of surface approximation along a curve is chosen in such way, that angular deviation of the tangent to the curve at the next point does not exceed the given value ang.

Parameters

[in]	u	- A parameter defining a point on the surface.
[in]	v	- A parameter defining a point on the surface.
[in]	ang	- The maximum feasible deviation angle of tangent.

Returns: A sag value by parameter at given point.

Reimplemented from MbSurface.

◆ NurbsSurface() [1/2]

MbSplineSurface* MbSplineSurface::NurbsSurface	(	double	u1,
		double	u2,
		double	v1,
		double	v2,
		bool	bmatch = `false`
	)		const

overridevirtual

Construct a NURBS copy of trimmed surface.

An obtained surface is always unclosed in u and in v. The exception is the NURBS surface itself. If the surface does not require recalculation, then a copy of it is returned. Parameters u1, u2, v1 and v2 are the bounds of surface trimming.

Parameters

[in]	u1	- Minimum parameter in U.
[in]	u2	- Maximum parameter in U.
[in]	v1	- Minimum parameter in V.
[in]	v2	- Maximum parameter in V.
[in]	bmatch	- true, if it is required to keep one-to-one correspondence of parametric regions in mapping.

Reimplemented from MbSurface.

◆ NurbsSurface() [2/2]

MbSurface* MbSplineSurface::NurbsSurface	(	const MbNurbsParameters &	uParam,
		const MbNurbsParameters &	vParam
	)		const

overridevirtual

Construct a NURBS copy of a surface.

Constructs a NURBS surface which approximates a given surface with the given parameters in each direction. In parameters the degree and the number of knots of a spline and the range of curve's parameters changing may be set. If the flag of accurate approximation is not set in parameters then NURBS without multiple knots is constructed.

Parameters

[in]	uParam	- Parameters of construction in u direction.
[in]	vParam	- Parameters of construction in v direction.

Returns: The constructed NURBS surface or nullptr in a case of failure.

Reimplemented from MbSurface.

◆ CurveU()

MbCurve3D* MbSplineSurface::CurveU	(	double	v,
		MbRect1D *	pRgn,
		bool	bApprox = `true`
	)		const

overridevirtual

Construct spatial copy of the line v = const.

Parameters

[in]	v	- Parameter in V direction.
[in]	pRgn	- A range of u-parameters.
[in]	bApprox	- If false, then it returns null only in a case when the exact curve has been successfully created. If true, then it returns null in a case when the curve is not degenerate.

Returns: Constructed curve.

Reimplemented from MbSurface.

◆ CurveV()

MbCurve3D* MbSplineSurface::CurveV	(	double	u,
		MbRect1D *	pRgn,
		bool	bApprox = `true`
	)		const

overridevirtual

Construct spatial copy of the line u = const.

Parameters

[in]	u	- Parameter in U direction.
[in]	pRgn	- A range of v-parameters.
[in]	bApprox	- If false, then it returns null only in a case when the exact curve has been successfully created. If true, then it returns null in a case when the curve is not degenerate.

Returns: Constructed curve.

Reimplemented from MbSurface.

◆ GetTesselation()

void MbSplineSurface::GetTesselation	(	const MbStepData &	stepData,
		double	u1,
		double	u2,
		double	v1,
		double	v2,
		SArray< double > &	uu,
		SArray< double > &	vv
	)		const

overridevirtual

Determine a splitting of parametric region of a surface by verticals and horizontals.

Determine a splitting of parametric region of a surface by verticals and horizontals during triangulation.

Parameters

[in]	stepData	- Data for step calculation during triangulation.
[in]	u1	- Minimal value of u-parameter in the region of surface splitting.
[in]	u2	- Maximal value of u-parameter in the region of surface splitting.
[in]	v1	- Minimal value of v-parameter in the region of surface splitting.
[in]	v2	- Maximal value of v-parameter in the region of surface splitting.
[out]	uu	- A set of parameters of splitting by u.
[out]	vv	- A set of parameters of splitting by v.

Reimplemented from MbSurface.

◆ CheckSurfParams()

void MbSplineSurface::CheckSurfParams	(	double &	u,
		double &	v
	)		const

overridevirtual

Check parameters. Analogue of the global function _CheckParams, optimized for caches usage.

Check parameters and move them inside domain if parameter is out of pole.

Parameters

[in]	surface	- Surface.
[in]	u	- First parameter.
[in]	v	- Second parameter.

Reimplemented from MbSurface.

◆ Trimmed()

MbSplineSurface* MbSplineSurface::Trimmed	(	double	uBeg,
		double	uEnd,
		double	vBeg,
		double	vEnd
	)		const

Construct a trimmed surface.

Parameters

[in]	uBeg	- Parameter U corresponding to start of a trimmed surface.
[in]	uEnd	- Parameter U corresponding to end of a trimmed surface.
[in]	vBeg	- Parameter V corresponding to start of a trimmed surface.
[in]	vEnd	- Parameter V corresponding to end of a trimmed surface.

Returns: A constructed trimmed surface.

◆ NearPointProjection()

bool MbSplineSurface::NearPointProjection	(	const MbCartPoint3D &	pnt,
		double &	u,
		double &	v,
		bool	ext,
		MbRect2D *	uvRange = `nullptr`
	)		const

overridevirtual

Find the projection of a point onto the surface.

Find the nearest point projection to the surface or its extension by the given initial approximation. If the range of parameters changing 'uvRange' is set, then it is required to find a projection in the given range. A range of parameters may not belong to the domain of a surface. The Newton method is used.

Parameters

[in]	pnt	- A given point.
[in,out]	u	- Input - initial approximation, output - parameter of a surface, corresponding to the nearest projection.
[in,out]	v	- Input - initial approximation, output - parameter of a surface, corresponding to the nearest projection.
[in]	ext	- A flag defining whether to seek projection on the extension of the surface.
[in]	uvRange	- A range of parameters changing in which the solution should be found.

Returns: True - if there is found a projection which satisfies to all input conditions.

Reimplemented from MbSurface.

◆ DirectPointProjection()

void MbSplineSurface::DirectPointProjection	(	const MbCartPoint3D &	pnt,
		const MbVector3D &	vect,
		SArray< MbCartPoint > &	uv,
		bool	ext,
		MbRect2D *	uvRange = `nullptr`
	)		const

overridevirtual

Find all a point projection onto the surface along a vector in either of two directions.

Calculate all points of intersection with the ray outgoing from the given point 'p' by the direction 'vect'. If the range of parameters changing 'uvRange' is set, then it is required to find a projection in the given range. A range of parameters may not belong to the domain of a surface.

Parameters

[in]	pnt	- A given point.
[in]	vect	- A direction vector.
[out]	uv	- A set of projection points in the area of surface definition.
[in]	ext	- A flag defining whether to seek projection on the extension of the surface.
[in]	uvRange	- A range of surface parameters changing in which the solution should be found.

Reimplemented from MbSurface.

◆ IsSimilarToSurface()

bool MbSplineSurface::IsSimilarToSurface	(	const MbSurface &	surf,
		VERSION	version,
		double	precision = `METRIC_PRECISION`
	)		const

overridevirtual

Define whether the surfaces are similar for merge.

Surfaces are similar for merge if they coincide geometrically or one surface transits to another.

Parameters

[in]	surf	- A given surface.
[in]	version	- Version of operation.
[in]	precision	- Precision of calculation.

Returns: True - if surfaces are similar.

Reimplemented from MbSurface.

◆ GetMatrixToSurface()

bool MbSplineSurface::GetMatrixToSurface	(	const MbSurface &	surf,
		MbMatrix &	matr,
		VERSION	version,
		double	precision = `METRIC_PRECISION`
	)		const

overridevirtual

Get two-dimensional matrix of transformation from its parametric region to the parametric region of 'surf'.

Calculation of matrix of transformation from one parametric region to another. it is performed for the surfaces which are similar for merge.

Parameters

[in]	surf	- A given surface.
[out]	matr	- A transformation matrix.
[in]	version	- Version of operation.
[in]	precision	- Precision of calculation.

Returns: True - matrix is calculated.

Reimplemented from MbSurface.

◆ ChangeWeight()

void MbSplineSurface::ChangeWeight	(	ptrdiff_t	i,
		ptrdiff_t	j,
		double	w
	)

Changing of one point weight.

Changing of one point weight

Parameters

[in]	i	- Row index.
[in]	j	- Column index.
[in]	w	- New value of weight.

◆ RaiseUDegree()

bool MbSplineSurface::RaiseUDegree	(	size_t	newDegree,
		double	relEps
	)

Increase order of surface by first coordinate without changing its geometric shape and parametrization.

Parameters

[in]	newDegree	- New order of surface by first coordinate.
[in]	relEps	- Permissible shape error.

Returns: Returns true if the order of the surface was changed.

◆ RaiseVDegree()

bool MbSplineSurface::RaiseVDegree	(	size_t	newDegree,
		double	relEps
	)

Increase order of surface by second coordinate without changing its geometric shape and parametrization.

Parameters

[in]	newDegree	- New order of surface by second coordinate.
[in]	relEps	- Permissible shape error.

Returns: Returns true if the order of the surface was changed.

◆ SetDegree()

void MbSplineSurface::SetDegree	(	bool	isU,
		ptrdiff_t	order
	)

Changing of surface order.

Parameters

[in]	isU	- Determines a coordinate of the order changing: true - u, false - v.
[in]	order	- A new surface order.

◆ SetLimitParam()

MbMatrix MbSplineSurface::SetLimitParam	(	double	pmin,
		double	pmax,
		double	qmin,
		double	qmax
	)

Set the range of parameters.

Parameters

[in]	pmin	- The minimal parameter value by U.
[in]	pmax	- The maximal parameter value by U.
[in]	qmin	- The minimal parameter value by V.
[in]	qmax	- The maximal parameter value by V.

◆ GetWeight()

double MbSplineSurface::GetWeight	(	ptrdiff_t	i,
		ptrdiff_t	j
	)		const

inline

Get vertex weight.

Parameters

[in]	i	- Row index.
[in]	j	- Column index.

Returns: A value of weight.

◆ GetWeights()

void MbSplineSurface::GetWeights ( Array2< double > & wts ) const

inlineoverridevirtual

Get the matrix of vertices weights.

Parameters

[in,out] wts - A matrix for weights values filling.

Implements MbPolySurface.

◆ GetKnotsCount()

size_t MbSplineSurface::GetKnotsCount ( bool isU ) const

inline

Get the number of elements in a knot vector.

Parameters

[in] isU - Determines the requested coordinate of a knot vector: true - u, false - v.

Returns: The number of elements in a knot vector.

◆ GetKnots()

void MbSplineSurface::GetKnots	(	bool	isU,
		SArray< double > &	knots
	)		const

inlineoverridevirtual

Get a knots vector by the chosen parameter.

Parameters

[in]	isU	- Determines the requested coordinate of a knot vector: true - u, false - v.
[in,out]	knots	- Matrix for knot vector storage.

Implements MbPolySurface.

◆ GetKnot()

double MbSplineSurface::GetKnot	(	bool	isU,
		size_t	i
	)		const

Get the value of one knot.

Parameters

[in]	isU	- Determines the requested coordinate of a knot vector: true - u, false - v.
[in]	i	- The index of an element in a knot vector.

Returns: A value of knot.

◆ InsertUKnotsInRegion()

void MbSplineSurface::InsertUKnotsInRegion	(	ptrdiff_t	idBegin,
		ptrdiff_t	num = `1`
	)

overridevirtual

Insertion of a row after the row with the index idBegin without changing of a surface by u.

Parameters

[in]	idBegin	- An index of the row a new row will be inserted after.
[in]	num	- Count of inserted rows.

Implements MbPolySurface.

◆ InsertUKnots()

void MbSplineSurface::InsertUKnots	(	double &	newKnot,
		ptrdiff_t	multiplicity
	)

Insertion of a row with the value of the knot newKnot without changing of a surface by u.

Parameters

[in]	newKnot	- A value of knot.
[in]	multiplicity	- Count of inserted rows.

◆ InsertVKnotsInRegion()

void MbSplineSurface::InsertVKnotsInRegion	(	ptrdiff_t	idBegin,
		ptrdiff_t	num = `1`
	)

overridevirtual

Insertion of a row after the row with the index idBegin without changing of a surface by v.

Parameters

[in]	idBegin	- An index of the row a new row will be inserted after.
[in]	num	- Count of inserted rows.

Implements MbPolySurface.

◆ InsertVKnots()

void MbSplineSurface::InsertVKnots	(	double &	newKnot,
		ptrdiff_t	multiplicity
	)

Insertion of a row with the value of the knot newKnot without changing of a surface by v.

Parameters

[in]	newKnot	- A value of knot.
[in]	multiplicity	- Count of inserted rows.

◆ CalculateUVParameters()

void MbSplineSurface::CalculateUVParameters ( Array2< MbCartPoint > & params ) const

overridevirtual

Calculation of points on surface corresponding to knots.

Parameters

[in,out] params - A matrix for keeping of points on surface corresponding to control points.

Implements MbPolySurface.

◆ CalculateUVParameterForKnot()

bool MbSplineSurface::CalculateUVParameterForKnot	(	size_t	uIndex,
		size_t	vIndex,
		MbCartPoint &	point
	)		const

overridevirtual

Calculation of point on surface corresponding to control point.

Parameters

[in]	uIndex	- A column of control point.
[in]	vIndex	- A row of control point.
[in,out]	point	- A point on surface.

Returns: True if a point on surface was successfully found.

Implements MbPolySurface.

◆ CalculatePartsForSpecMove()

bool MbSplineSurface::CalculatePartsForSpecMove	(	const Array2< bool > &	movedPoints,
		size_t	uIndex,
		size_t	vIndex,
		const MbVector3D &	moveVector,
		MbeDirectSmoothType	smoothType,
		double	smoothDegree,
		Array2< double > &	partsPoints
	)		const

overridevirtual

Calculation of a shift part of knots during the translation with blending.

A translation of one control point is known. Translation of other points which marked as movable in the matrix movedPoints depends on the direction of its translation, the distance from the points to the translation line (moveVector) and the function of blending. There are three modes of blending: convex, concave and smooth transition.

Parameters

[in]	movedPoints	- A matrix containing data about moved points. If an element of the matrix equals 1 then the corresponding control point can be moved, otherwise - it is fixed.
[in]	uIndex	- A column of a moved control point relative to which there will be the blending.
[in]	vIndex	- A row of a moved control point relative to which there will be the blending.
[in]	moveVector	- A vector in direction of which the control point is translated.
[in]	smoothType	- The type of blending. dst_None - no blending, dst_Convex - convex, dst_Concave - concave, dst_Smooth - smooth transition.
[in]	smoothDegree	- A degree of the blending function. A positive value.
[in,out]	partsPoints	- A matrix with the data about a part of shift of each point relative to the moved point.

Returns: True if the calculations were successfully performed..

Implements MbPolySurface.

◆ CalculateFixedPoints()

bool MbSplineSurface::CalculateFixedPoints	(	const RPArray< const MbSurfaceIntersectionCurve > &	curves,
		Array2< bool > &	fixedPoints
	)		const

overridevirtual

Calculation of fixed control points.

Calculation of knots which should be fixed to forbid the deformation of curves in the given array when a surface deforms.

Parameters

[in]	curves	- A set of curves.
[in,out]	fixedPoints	- A matrix where the data about necessity of angles fixation is written to save curves. If an element of matrix equals true then the control point corresponding to it should be fixed.

Returns: True if calculations are successfully performed.

Implements MbPolySurface.

◆ RemoveUKnots()

size_t MbSplineSurface::RemoveUKnots	(	ptrdiff_t &	rowId,
		ptrdiff_t	num = `1`,
		double	absEps = `Math::lengthEpsilon`
	)

overridevirtual

Deletion of a column of control points without changing of a surface.

Parameters

[in]	rowId	- Index of the first deleted column.
[in]	num	- Count of deleted columns.
[in]	absEps	- Approximation tolerance.

Returns: Count of columns which are succeeded to delete.

Implements MbPolySurface.

◆ RemoveVKnots()

size_t MbSplineSurface::RemoveVKnots	(	ptrdiff_t &	rowId,
		ptrdiff_t	num = `1`,
		double	absEps = `Math::lengthEpsilon`
	)

overridevirtual

Deletion of a row of control points without changing of a surface.

Parameters

[in]	rowId	- Index of the first deleted row.
[in]	num	- Count of deleted rows.
[in]	absEps	- Approximation tolerance.

Returns: Count of rows which are succeeded to delete.

Implements MbPolySurface.

◆ ChangeUDegreeApprox()

bool MbSplineSurface::ChangeUDegreeApprox ( size_t newDegree )

overridevirtual

Change the order of NURBS by construction of a surface by the function NurbsSurface.

Parameters

[in] newDegree - New surface degree by u.

Returns: True if approximation is succeeded.

Implements MbPolySurface.

◆ ChangeVDegreeApprox()

bool MbSplineSurface::ChangeVDegreeApprox ( size_t newDegree )

overridevirtual

Change the order of NURBS by construction of a surface by the function NurbsSurface.

Parameters

[in] newDegree - New surface degree by v.

Returns: True if approximation is succeeded.

Implements MbPolySurface.

◆ ChangeParametersApprox()

bool MbSplineSurface::ChangeParametersApprox	(	size_t	nUDegree,
		size_t	nVDegree,
		ptrdiff_t	nUCount,
		ptrdiff_t	nVCount
	)

overridevirtual

Change the order and the number of knots of NURBS by construction of a surface by the function NurbsSurface.

Parameters

[in]	nUDegree	- New surface degree by u.
[in]	nVDegree	- New surface degree by v.
[in]	nUCount	- A number of control points in U direction.
[in]	nVCount	- A number of control points in V direction.

Returns: True if approximation is succeeded.

Implements MbPolySurface.

◆ ApproxSurfWithoutMultKnots()

bool MbSplineSurface::ApproxSurfWithoutMultKnots ( )

Rebuild a surface by the function NurbsSurface without multiple knots.

Returns: True if approximation is succeeded.

◆ GetPointsWithVisible()

void MbSplineSurface::GetPointsWithVisible ( Array2< MbNurbsPointInfo > & params ) const

overridevirtual

Return an array of knot points and their visibility for the operation of editing as spline.

Parameters

[in,out] params - A matrix of control points with specifying of visibility of each control point for editing.

Implements MbPolySurface.

◆ ModifyPointsWithVisible()

void MbSplineSurface::ModifyPointsWithVisible	(	const Array2< MbCartPoint3D > &	oldPoints,
		Array2< MbCartPoint3D > &	newPoints
	)		const

Modify an array of knot points considering the moving of invisible points.

Parameters

[in]	oldPoints	- A matrix of control points.
[in,out]	newPoints	- A matrix of control points after the correction of invisible points location.

◆ UnClampedU()

bool MbSplineSurface::UnClampedU ( bool clm )

Whether to clamp a knot vector.

Make a knot vector by u clamped if a surface is closed in u direction and clm = false. If it is not closed and clm = true then make knot vector unclamped.

Parameters

[in] clm - Whether to clamp a knot vector.

◆ UnClampedV()

bool MbSplineSurface::UnClampedV ( bool clm )

Whether to clamp a knot vector.

Make a knot vector by v clamped if a surface is closed in v direction and clm = false. If it is not closed and clm = true then make knot vector unclamped.

Parameters

[in] clm - Whether to clamp a knot vector.

◆ SetBordersTypes()

void MbSplineSurface::SetBordersTypes	(	bool	cuMin,
		bool	cuMax,
		bool	cvMin,
		bool	cvMax
	)

Set types of surfaces boundaries.

Set types of surfaces boundaries. This is used in converters.

Parameters

[in]	cuMin	- A type of surface when u is minimal.
[in]	cuMax	- A type of surface when u is maximal.
[in]	cvMin	- A type of surface when v is minimal.
[in]	cvMax	- A type of surface when v is maximal.

◆ CheckPolePoint()

bool MbSplineSurface::CheckPolePoint	(	const MbCartPoint3D &	pnt,
		double	absEps,
		bool	bSet
	)

Check whether a point is a pole and remove discontinuity of the first derivative.

Parameters

[in]	pnt	- A point where the check is performed.
[in]	absEps	- Tolerance.
[in]	bSet	- Whether to replace control points corresponding to the pole and coincident with the given tolerance with the point pnt.

◆ IsSplineBorder()

MbCurve* MbSplineSurface::IsSplineBorder ( const MbCurve3D & curve ) const

Create a two-dimensional curve if a space curve is a surface boundary.

Parameters

[in] curve - A given space curve.

Returns: A reference to the two-dimensional curve on a surface or nullptr if the construction of it is failed.

◆ DirectParallelRects()

void MbSplineSurface::DirectParallelRects	(	const MbVector3D &	direction,
		std::vector< MbRect > &	parallelRects
	)		const

Regions of a surface parallel to the direction.

Regions of a surface the point sets of which are parallel to the given direction.

Parameters

[in]	direction	- Direction.
[out]	collinearRects	- Found regions inside the domain of a surface.

Warning: Under development.

The documentation for this class was generated from the following file:

surf_spline_surface.h

Public Member Functions

Protected Member Functions

Common functions of surface.

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ MbSplineSurface() [1/3]

◆ MbSplineSurface() [2/3]

◆ MbSplineSurface() [3/3]

Member Function Documentation

◆ Init() [1/2]

◆ Init() [2/2]

◆ InitParasolid()

◆ Duplicate()

◆ IsSame()

◆ SetEqual()

◆ GetProperties()

◆ SetProperties()

◆ IsUClosed()

◆ IsVClosed()

◆ IsUTouch()

◆ IsVTouch()

◆ IsUPeriodic()

◆ IsVPeriodic()

◆ PointOn()

◆ Explore() [1/2]

◆ _PointOn()

◆ Explore() [2/2]

◆ StepU()

◆ StepV()

◆ DeviationStepU()

◆ DeviationStepV()

◆ NurbsSurface() [1/2]

◆ NurbsSurface() [2/2]

◆ CurveU()

◆ CurveV()

◆ GetTesselation()

◆ CheckSurfParams()

◆ Trimmed()

◆ NearPointProjection()

◆ DirectPointProjection()

◆ IsSimilarToSurface()

◆ GetMatrixToSurface()

◆ ChangeWeight()

◆ RaiseUDegree()

◆ RaiseVDegree()

◆ SetDegree()

◆ SetLimitParam()

◆ GetWeight()

◆ GetWeights()

◆ GetKnotsCount()

◆ GetKnots()

◆ GetKnot()

◆ InsertUKnotsInRegion()

◆ InsertUKnots()

◆ InsertVKnotsInRegion()

◆ InsertVKnots()

◆ CalculateUVParameters()

◆ CalculateUVParameterForKnot()

◆ CalculatePartsForSpecMove()

◆ CalculateFixedPoints()

◆ RemoveUKnots()

◆ RemoveVKnots()

◆ ChangeUDegreeApprox()

◆ ChangeVDegreeApprox()

◆ ChangeParametersApprox()

◆ ApproxSurfWithoutMultKnots()

◆ GetPointsWithVisible()

◆ ModifyPointsWithVisible()

◆ UnClampedU()

◆ UnClampedV()

◆ SetBordersTypes()

◆ CheckPolePoint()

◆ IsSplineBorder()

◆ DirectParallelRects()