C3D Toolkit
Kernel - 117982, Vision - 2.9.2.2
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Fillet surface of constant radii, ordinary or with preservation of fillet. More...
#include <surf_fillet_surface.h>
Classes | |
class | MbFilletSurfaceAuxiliaryData |
Auxiliary data. More... | |
Public Types | |
enum | MbeFilletSurfaceVersion { fsv_Ver0 = 0 , fsv_Ver1 = 1 , fsv_Count } |
Version of implementation of surface. More... | |
enum | MbeFilletSurfType { } |
Implemented types of fillets with exact mathematics. More... | |
Public Member Functions | |
MbFilletSurface (MbSurfaceCurve &curv1, MbSurfaceCurve &curv2, double d1, double d2, MbeSmoothForm fm, double cn, bool ev) | |
Constructor of fillet surface. More... | |
MbFilletSurface (MbSurfaceCurve &curv1, MbSurfaceCurve &curv2, double d1, double d2, MbeSmoothForm fm, double cn, bool byFirst, bool ev) | |
Constructor of surface with preservation of fillet. More... | |
MbFilletSurface (MbSurface &surf1, MbCurve &curv1, MbSurface &surf2, MbCurve &curv2, MbCurve3D &curv0, double d1, double d2, MbeSmoothForm fm, double cn, bool ev) | |
Constructor of fillet surface. More... | |
Initialization functions | |
void | Init0 (double wmin, double wmax, bool insertPoints=true) override |
Correction of the middle line of fillet surface. More... | |
Common functions of a geometric object | |
MbeSpaceType | IsA () const override |
Get the type of the object. | |
MbeFilletSurfaceVersion | GetVersion () const |
Version. | |
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... | |
bool | IsSimilar (const MbSpaceItem &) const override |
Determine whether an object is similar. More... | |
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... | |
void | GetProperties (MbProperties &properties) override |
Outstanding properties of the object. More... | |
void | SetProperties (const MbProperties &properties) override |
Change the properties of an object. More... | |
void | GetBasisItems (RPArray< MbSpaceItem > &s) override |
Outstanding reference objects in a container sent. | |
Functions for surface domain description | |
double | GetVPeriod () const override |
Return period for smoothly closed surface or 0. | |
Functions for working at surface domain | |
Functions PointOn, Derive... of smooth surfaces don't correct first parameter when it is out of 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 | NormalU (double &u, double &v, MbVector3D &) const override |
Calculate derivative of normal with respect to U. | |
void | NormalV (double &u, double &v, MbVector3D &) const override |
Calculate derivative of normal with respect to V. | |
Functions for working inside and outside the surface's domain | |
functions _PointOn, _Derive... of surfaces don't correct parameters when they are out of bounds of rectangular domain of parameters. | |
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. | |
void | _NormalU (double u, double v, MbVector3D &) const override |
Calculate derivative of normal vector on extended surface. | |
void | _NormalV (double u, double v, MbVector3D &) const override |
Calculate derivative of normal vector 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... | |
void | SurfaceCurveExplore (size_t ind, double t, MbCartPoint &pnt, MbVector *fir, MbVector *sec, MbVector *thir) const |
Calculate the two-dimensional values of the point and derivatives for the surface curve (0 - first, otherwise - second) (for internal use) | |
void | _PointNormal (double u, double v, MbCartPoint3D &pnt, MbVector3D &uDer, MbVector3D &vDer, MbVector3D &norm, MbVector3D &uNorm, MbVector3D &vNorm, MbVector3D &uuDer, MbVector3D &vvDer, MbVector3D &uvDer) const override |
Calculate all derivatives at point. More... | |
Functions of moving along the 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 angle) const override |
Calculate parameter step. More... | |
double | DeviationStepV (double u, double v, double angle) const override |
Calculate parameter step. More... | |
double | MetricStepV (double u, double v, double length) const override |
Calculate parameter step. More... | |
Common functions of surface | |
double | CurvatureV (double u, double v) const override |
Calculate line curvature along the direction of v. More... | |
MbSplineSurface * | NurbsSurface (double, double, double, double, 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... | |
MbSurface * | Offset (double d, bool same) const override |
Create an offset surface. More... | |
MbFilletSurface * | OffsetByFillet (double d, const MbSurface &offSurf1, const MbSurface &offSurf2) const |
MbCurve3D * | CurveV (double u, MbRect1D *pRgn, bool bApprox=true) const override |
Construct spatial copy of the line u = const. More... | |
void | ChangeCarrier (const MbSpaceItem &item, MbSpaceItem &init) override |
Changing of carrier. More... | |
bool | ChangeCarrierBorne (const MbSurface &item, MbSurface &init, const MbMatrix &matr) override |
Changing of carrier elements. More... | |
MbeNewtonResult | SurfaceTangentNewton (const MbSurface &, MbeParamDir switchPar, double funcEpsilon, size_t iterLimit, double &u0, double &v0, double &u1, double &v1, bool ext0, bool ext1) const override |
Solution of equation system for determination of surfaces tangency. For internal use only. | |
MbeNewtonResult | PointProjectionNewton (const MbCartPoint3D &p, size_t iterLimit, double &u, double &v, bool ext) const override |
Finding of point projection on surface. For internal use only. | |
bool | NearPointProjection (const MbCartPoint3D &p, double &u, double &v, bool ext, MbRect2D *uvRange=nullptr) const override |
Find the projection of a point onto the surface. More... | |
double | GetFilletRadius (const MbCartPoint3D &p, double accuracy=METRIC_REGION) const override |
Get fillet radius if the surface is a fillet surface with the set accuracy. More... | |
virtual double | GetFilletRadius (double u) const |
bool | CreateNormalPlacements (const MbVector3D &axisZ, double angle, SArray< MbPlacement3D > &places, VERSION version=Math::DefaultMathVersion()) const override |
Construct normal placements of constructive planes. | |
bool | CreateTangentPlacements (const MbVector3D &axisZ, SArray< MbPlacement3D > &places) const override |
Construct tangent placements of constructive planes. | |
bool | GetCylinderAxis (MbAxis3D &axis) const override |
Get rotation axis of a surface. | |
bool | IsSimilarToSurface (const MbSurface &surf, VERSION version, double precision=METRIC_PRECISION) const override |
Define whether the surfaces are similar for merge. More... | |
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... | |
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. | |
ThreeStates | Salient () const override |
Determine whether the surface is convex. More... | |
double | GetRadius () const override |
Get the physical radius of the object or null if it impossible. More... | |
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. | |
Functions of smooth surface | |
MbSmoothSurface & | CurvesDuplicate () const override |
A copy with the same support surfaces. | |
double | GetSmoothRadius () const override |
Get radius. | |
void | GetDistances (double u, double &d1, double &d2) const override |
Get radii with a sign. | |
double | GetDistance (bool s) const override |
Get radius with a sign. | |
bool | SurfacesCombine (const MbSurfaceIntersectionCurve &edge, const MbSurface &init, bool add, MbMatrix &matr, const MbSurfaceIntersectionCurve *seam) override |
Combine surfaces by inclusion of the surface 'init' into the given surface. More... | |
double | DistanceRatio (bool firstCurve, MbCartPoint3D &p, double distance) const override |
Get coefficient for radius. | |
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... | |
void | GetCurve1 (SPtr< const MbSurfaceCurve > &c) const override |
Support curve on the first surface. | |
void | GetCurve2 (SPtr< const MbSurfaceCurve > &c) const override |
Support curve on the second surface. | |
void | SetCurve1 (SPtr< MbSurfaceCurve > &c) override |
Get the support curve on the first surface for changing. | |
void | SetCurve2 (SPtr< MbSurfaceCurve > &c) override |
Get the support curve on the second surface for changing. | |
Functions of fillet surface | |
double | GetWeight (double u) const |
Weights of points of mid-curve. More... | |
double | GetAngle (double u) const |
Arc opening angle. More... | |
double | GetLocalAxis (double u, MbAxis3D &axis) const |
Axis of surface at given point. More... | |
void | GetCentrePoint (double u, MbCartPoint3D &p1, MbCartPoint3D &p2, MbCartPoint3D &p0) const |
Get point on axis. More... | |
bool | GetMiddlePoint (double u, MbCartPoint3D &p1, MbCartPoint3D &p2, MbCartPoint3D &p0, double &w) const |
Get the mid-point. More... | |
double | GetVPeriod (double u) const |
Period by direction V. More... | |
const MbCurve3D * | GetCurve0 () const |
Intersection curve of tangents to surfaces. | |
bool | IsEllipse () const |
Fillet isn't circular. More... | |
bool | IsEven () const |
Uniform arc length parameterization. | |
bool | IsFilletSurface () const |
Whether the fillet surface is homogeneous. More... | |
bool | IsConic () const |
General conic section. More... | |
double | Conic () const |
Coefficient of shape. More... | |
bool | IsKerbSurface () const |
Fillet surface with preservation of fillet. More... | |
bool | ByFirstCurve () const |
Whether the first curve is fillet. More... | |
void | SetKerbSurface (bool bc1) |
Set fillet surface with preservation of fillet. Need to call this->Init0() after this method. More... | |
const MbFunction * | GetWeights () const |
bool | SetWeights (MbFunction &func) |
MbCurve3D * | GetSpine () const |
void | SetSpine (MbCurve3D *) |
MbeFilletSurfType | GetFilletType () const |
Public Member Functions inherited from MbSmoothSurface | |
MbeSpaceType | Type () const override |
Get the group object type. | |
double | GetUMin () const override |
Get the minimum value of u. | |
double | GetUMax () const override |
Get the maximum value of u. | |
double | GetVMin () const override |
Get the minimum value of v. | |
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... | |
double | GetUPeriod () const override |
Return period for smoothly closed surface or 0. | |
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. | |
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. | |
MbeNewtonResult | CurveIntersectNewton (const MbCurve3D &, double funcEpsilon, size_t iterLimit, double &u0, double &v0, double &t1, bool ext0, bool ext1) const override |
Solution of equation system for determination of intersections between a surface and a curve. For internal use only. | |
double | GetParamDelta () const override |
Get the maximum increment of parameter. | |
double | GetParamPrice () const override |
Get the minimum distinguishable value of parameter. | |
MbSurface * | NurbsSurface (const MbNurbsParameters &uParam, const MbNurbsParameters &vParam) const override |
Construct a NURBS copy of a surface. More... | |
MbSurface & | TotalDuplicate () const |
Perform a full copying of a surface. | |
const MbSurface & | GetSurface1 () const |
Get the first surface. | |
const MbSurface & | GetSurface2 () const |
Get the second surface. | |
MbCurve * | CreateBound (bool s) const |
Construct boundary curve along a surface (V = const). More... | |
MbeCurveBuildType | GetBuildType () const |
Type of support curves. More... | |
MbeSmoothForm | Form () const |
Form of a surface. More... | |
virtual bool | InsertPoints (double &t1, const MbCartPoint &p1, bool add1, double &t2, const MbCartPoint &p2, bool add2) |
Add a point to the support curves of the boundary. More... | |
bool | ProlongSurface (double u, const MbCartPoint &p1, const MbCartPoint &p2, bool anyCase) |
Prolong surface. More... | |
bool | CurveStraighten (double t1, double t2) |
Correct curves. More... | |
void | AddProperties (MbProperties &properties) |
Get the object properties. | |
void | SetPole () |
Check poles. | |
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 ¬e, 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 bool | IsUTouch () const |
Determine whether a surface is closed in u-parameter direction regardless of the smoothness of the closure. More... | |
virtual bool | IsVTouch () const |
Determine whether a surface is closed in v-parameter direction regardless of the smoothness of the closure. More... | |
virtual bool | IsUPeriodic () const |
Determine whether a surface is closed in u-parameter direction. More... | |
virtual bool | IsVPeriodic () const |
Determine whether a surface is closed in v-parameter direction. More... | |
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 | Explore (double &u, double &v, MbCartPoint3D &pnt, MbVector3D &uDer, MbVector3D &vDer) const |
Calculate point and first derivatives with respect to u and with respect to v. More... | |
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 | _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 double | MetricStepU (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... | |
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 | IsPlanar (double accuracy=METRIC_EPSILON) const |
Whether a surface is planar. | |
virtual MbeParamDir | GetFilletDirection (double accuracy=METRIC_REGION) const |
Direction of fillet surface with accuracy. More... | |
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 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 > ¶ms) 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 MbCurve3D * | CurveU (double v, MbRect1D *pRgn, bool bApprox=true) const |
Construct spatial copy of the line v = const. 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 | 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 void | DirectPointProjection (const MbCartPoint3D &pnt, const MbVector3D &vect, SArray< MbCartPoint > &uv, bool ext, MbRect2D *uvRange=nullptr) const |
Find all a point projection onto the surface along a vector in either of two directions. More... | |
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 | 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 | 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 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... | |
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... | |
virtual bool | SetLimit (double u1, double v1, double u2, double v2) |
Set surface limits. For internal use only. | |
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 | 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 | IsLineU () const |
Check that all derivatives of surface with respect to u which have more than first order are equal to null. | |
virtual bool | IsLineV () const |
Check that all derivatives of surface with respect to v which have more than first order are equal to null. | |
virtual bool | IsShift (const MbSpaceItem &obj, MbVector3D &dir, bool &isSame, double accuracy=LENGTH_EPSILON) const |
Determine whether the object is a translation. More... | |
virtual void | CheckSurfParams (double &u, double &v) const |
Check parameters. Analogue of the global function _CheckParams, optimized for caches usage. 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. | |
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. | |
Static Public Member Functions | |
static MbFilletSurface * | CreateSimpleFillet (double rad, MbSurfaceCurve &curv1, bool sgn1, MbSurfaceCurve &curv2, bool sgn2, double conicFact, VERSION vers) |
Create a fillet surface by two surfaces with a constant radius. More... | |
static MbFilletSurface * | CreateEllipticalFillet (MbSurfaceCurve &curv1, double rad1, MbSurfaceCurve &curv2, double rad2, VERSION vers) |
Create a fillet surface by two surfaces by an "arc of an ellipse". More... | |
static MbFilletSurface * | CreateChordFillet (double h, MbSurfaceCurve &curv1, bool sgn1, MbSurfaceCurve &curv2, bool sgn2, VERSION vers) |
Create a fillet surface by two surfaces with a constant chord. More... | |
static MbFilletSurface * | CreateKerbFillet (double rad, MbSurfaceCurve &curv1, bool sgn1, MbSurfaceCurve &curv2, bool sgn2, bool byFirst, double conicFact, VERSION vers) |
Create fillet surface a constant radius by support surface and support kerb-curve. More... | |
static MbFilletSurface * | CreateKerbTouchingFillet (MbSurfaceCurve &curv1, bool sgn1, MbSurfaceCurve &curv2, bool sgn2, bool byFirst, VERSION vers) |
Create a fillet surface by two support surfaces, specifying the kerb-curve of touching. More... | |
Protected Member Functions | |
MbFilletSurface (MbSurfaceCurve &curv1, double d1, MbSurfaceCurve &curv2, double d2, MbeSmoothForm fm, double cn, bool ev) | |
Constructor for inheritors of ordinary fillet surface. | |
MbFilletSurface (MbSurfaceCurve &curv1, double d1, MbSurfaceCurve &curv2, double d2, MbeSmoothForm fm, double cn, bool byFirst, bool ev) | |
Constructor for inheritors of surface with preservation of fillet. | |
MbFilletSurface (MbSurface &surf1, MbCurve &curv1, double d1, MbSurface &surf2, MbCurve &curv2, double d2, MbCurve3D &curv0, MbFunction &weig0, MbeSmoothForm fm, double cn, bool ev) | |
Constructor of fillet surface with intersection curve of tangents to surfaces. | |
MbFilletSurface (const MbFilletSurface &, MbRegDuplicate *) | |
Copy-constructor. | |
MbFilletSurface (const MbFilletSurface *) | |
Copy-constructor with the same support surfaces. | |
Protected Member Functions inherited from MbSmoothSurface | |
MbSmoothSurface (MbSurfaceCurve &crv1, MbSurfaceCurve &crv2, MbeSmoothForm fm, double d1, double d2) | |
Constructor by two curves and conjugation type. More... | |
MbSmoothSurface (MbSurface &surf1, MbCurve &curv1, MbSurface &surf2, MbCurve &curv2, MbeSmoothForm fm, double d1, double d2) | |
Constructor by two curves and conjugation type. More... | |
MbSmoothSurface (const MbSmoothSurface &, MbRegDuplicate *) | |
Copy-constructor. | |
MbSmoothSurface (const MbSmoothSurface *) | |
Copy constructor with the same support surfaces. | |
void | CheckParam (double &u, double &v) const |
Correction of parameters. | |
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. | |
Protected Attributes | |
MbCurve3D * | curve0 |
Intersection curve of tangents to surfaces - always not nullptr. | |
MbFunction * | weights0 |
Function of weight of points of curve0 mid-curve. | |
double | conic |
Coefficient of shape is changed between 0.05 and 0.95 and determines weight of points of curve0 curve. | |
bool | even |
Whether arc length parameterization is uniform or not. | |
bool | equable |
True - ordinary surface, false - curve1 or curve2 is fillet. | |
bool | byCurve1 |
True - curve2 is fillet, false - curve1 is fillet. | |
MbCurve3D * | spine |
Curve of centers of circular arcs in case of uniform parameterization. | |
MbeFilletSurfaceVersion | version |
Version. | |
Protected Attributes inherited from MbSmoothSurface | |
MbSurfaceCurve * | curve1 |
Support curve on the first surface (it never equals nullptr). | |
MbSurfaceCurve * | curve2 |
Support curve on the second surface (it never equals nullptr). | |
MbeSmoothForm | form |
Conjugation type. | |
double | distance1 |
Fillet radius or chamfer "cathetus" with sign for surface of curve1 curve. | |
double | distance2 |
Fillet radius or chamfer "cathetus" with sign for surface of curve2 curve. | |
double | umin |
Minimal value of parameter u. | |
double | umax |
Maximal value of parameter u. | |
double | vmin |
Minimal value of parameter v. | |
double | vmax |
Maximal value of parameter v. | |
bool | uclosed |
An attribute of closedness in u-parameter direction. | |
bool | poleUMin |
Existence of a pole at umin. | |
bool | poleUMax |
Existence of a pole at umax. | |
bool | poleVMin |
Existence of a pole at vmin. | |
bool | poleVMax |
Existence of a pole at vmax. | |
Protected Attributes inherited from MbSurface | |
MbCube | cube |
Bounding box of surface. More... | |
Fillet surface of constant radii, ordinary or with preservation of fillet.
Fillet surface is NURBS-surface constructed by three curves: curve1, curve0, curve2. First parameter of surface coincides with parameter of curve1, curve0, curve2 curves. Second parameter is changed between 0 (points are coincident to curve1) and 1 (points are coincident to curve2). For fillet surface in contrast to other surfaces PointOn and Derive... functions don't correct first parameter when it is out of domain bounds. If coefficient of shape conic = ARC ( 0 ), then weight of each point of curve0 curve is given by weights0 function and is calculated as that the section of surface along its second parameter will be a circular arc, that is three points curve1(u), curve0(u), curve2(u) determine NURBS-curve with shape of circular arc at any u parameter. If coefficient of shape conic != ARC, then weight of each point of curve0 curve is equal to conic / ( 1.0 - conic ). If conic = 0.5, then section of surface along its second parameter will be a parabola.
Implemented types of fillets with exact mathematics.
MbFilletSurface::MbFilletSurface | ( | MbSurfaceCurve & | curv1, |
MbSurfaceCurve & | curv2, | ||
double | d1, | ||
double | d2, | ||
MbeSmoothForm | fm, | ||
double | cn, | ||
bool | ev | ||
) |
Constructor of fillet surface.
Constructor of fillet surface.
[in] | curv1 | - Support curve on the first surface |
[in] | curv2 | - Support curve on the second surface |
[in] | d1 | - Fillet radius with sign for surface of crve1 curve |
[in] | d2 | - Fillet radius with sign for surface of crve2 curve |
[in] | fm | - Conjugation type: st_Span - fillet with a given chord st_Fillet - fillet with given radii |
[in] | cn | - Coefficient of shape is changed between 0.05 and 0.95 (if 0 - circular arc) |
[in] | ev | - Whether arc length parameterization is uniform or not |
MbFilletSurface::MbFilletSurface | ( | MbSurfaceCurve & | curv1, |
MbSurfaceCurve & | curv2, | ||
double | d1, | ||
double | d2, | ||
MbeSmoothForm | fm, | ||
double | cn, | ||
bool | byFirst, | ||
bool | ev | ||
) |
Constructor of surface with preservation of fillet.
Constructor of surface with preservation of fillet.
[in] | curv1 | - Support curve on the first surface |
[in] | curv2 | - Support curve on the second surface |
[in] | d1 | - Fillet radius with sign for surface of crve1 curve |
[in] | d2 | - Fillet radius with sign for surface of crve2 curve |
[in] | fm | - Conjugation type: st_Span - fillet with a given chord st_Fillet - fillet with given radii |
[in] | cn | - Coefficient of shape is changed between 0.05 and 0.95 (if 0 - circular arc) |
[in] | byFirst | - True - curve2 curve is fillet, false - curve1 curve is fillet. |
[in] | ev | - Whether arc length parameterization is uniform or not |
MbFilletSurface::MbFilletSurface | ( | MbSurface & | surf1, |
MbCurve & | curv1, | ||
MbSurface & | surf2, | ||
MbCurve & | curv2, | ||
MbCurve3D & | curv0, | ||
double | d1, | ||
double | d2, | ||
MbeSmoothForm | fm, | ||
double | cn, | ||
bool | ev | ||
) |
Constructor of fillet surface.
Constructor of fillet surface with intersection curve of tangents to surfaces.
[in] | surf1 | - First surface |
[in] | curv1 | - Support curve at parameters of the first surface |
[in] | surf2 | - Second surface |
[in] | curv2 | - Support curve at parameters of the second surface |
[in] | curv0 | - Intersection curve of tangents to surfaces |
[in] | d1 | - Fillet radius with sign for surface of curv1 curve |
[in] | d2 | - Fillet radius with sign for surface of curv2 curve |
[in] | fm | - Conjugation type: st_Span - fillet with a given chord st_Fillet - fillet with given radii |
[in] | cn | - Coefficient of shape is changed between 0.05 and 0.95 (if 0 - circular arc) |
[in] | ev | - Whether arc length parameterization is uniform or not |
|
static |
Create a fillet surface by two surfaces with a constant radius.
If successful, a fillet surface is created with version >= fsv_Ver1.
[in] | rad | - Fillet radius. |
[in] | curv1 | - Support curve at parameters of the first surface |
[in] | sgn1 | - The orientation of the first support surface. |
[in] | curv2 | - Support curve at parameters of the second surface |
[in] | sgn2 | - The orientation of the second support surface. |
[in] | cn | - Coefficient of shape is changed between 0.05 and 0.95 (if 0 - circular arc) |
[in] | vers | - Version. |
|
static |
Create a fillet surface by two surfaces by an "arc of an ellipse".
If successful, a fillet surface is created with version >= fsv_Ver1.
[in] | curv1 | - Support curve at parameters of the first surface |
[in] | rad1 | - Fillet radius with sign for surface of curv1 curve |
[in] | curv2 | - Support curve at parameters of the second surface |
[in] | rad2 | - Fillet radius with sign for surface of curv2 curve |
[in] | vers | - Version. |
|
static |
Create a fillet surface by two surfaces with a constant chord.
If successful, a fillet surface is created with version >= fsv_Ver1.
[in] | h | - Fillet radius. |
[in] | curv1 | - Support curve at parameters of the first surface |
[in] | sgn1 | - The orientation of the first support surface. |
[in] | curv2 | - Support curve at parameters of the second surface |
[in] | sgn2 | - The orientation of the second support surface. |
[in] | vers | - Version. |
|
static |
Create fillet surface a constant radius by support surface and support kerb-curve.
If successful, a fillet surface is created with version >= fsv_Ver1.
[in] | rad | - Fillet radius. |
[in] | curv1 | - Support curve at parameters of the first surface |
[in] | sgn1 | - The orientation of the first support surface. |
[in] | curv2 | - Support curve at parameters of the second surface |
[in] | sgn2 | - The orientation of the second support surface. |
[in] | byFirst | - True - curve2 curve is fillet, false - curve1 curve is fillet. |
[in] | cn | - Coefficient of shape is changed between 0.05 and 0.95 (if 0 - circular arc) |
[in] | vers | - Version. |
|
static |
Create a fillet surface by two support surfaces, specifying the kerb-curve of touching.
If successful, a fillet surface is created with version >= fsv_Ver1.
[in] | curv1 | - Support curve at parameters of the first surface |
[in] | sgn1 | - The orientation of the first support surface. |
[in] | curv2 | - Support curve at parameters of the second surface |
[in] | sgn2 | - The orientation of the second support surface. |
[in] | byFirst | - True - curve2 curve is fillet, false - curve1 curve is fillet. |
[in] | vers | - Version. |
|
overridevirtual |
Correction of the middle line of fillet surface.
Correction of the middle line of fillet surface.
[in] | tmin | - New minimal parameter of the middle line. |
[in] | tmax | - New maximal parameter of the middle line. |
[in] | insertPoints | - Insert control points for middle cerve0. |
Implements MbSmoothSurface.
|
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.
[in] | iReg | - Registrator. |
Implements MbSpaceItem.
|
overridevirtual |
Determine whether an object is equal.
Still considered objects of the same type, all data is the same (equal).
[in] | item | - The object to compare. |
[in] | accuracy | - The accuracy to compare. |
Implements MbSpaceItem.
|
overridevirtual |
Make objects equal if they are similar.
You can still make only a similar objects.
[in] | item | - The object to initialize. |
Implements MbSpaceItem.
|
overridevirtual |
Determine whether an object is similar.
Such are considered the same objects whose data are similar.
[in] | item | - The object to compare. |
Reimplemented from MbSpaceItem.
|
overridevirtual |
Convert the object according to the matrix.
Convert the original object according to the matrix using the registrator. If object contains references to the other geometric objects, then nested objects are transformed according to the matrix. Registrator is needed to prevent multiple object copying. It is allowed to use function without registrator, if it is needed to transform single object. If it is needed to transform a set of connected objects, then one should use registrator to prevent repeating transformation of nested objects, because of the possible situation when several objects contain references to the same common objects, that require to be transformed.
[in] | matr | - Transformation matrix. |
[in] | iReg | - Registrator. |
Implements MbSpaceItem.
|
overridevirtual |
Move an object along a vector.
Move an object along a geometric vector using the registrator. If object contains references to the other geometric objects then the move operation is applied to the nested objects. Registrator is needed to prevent multiple copying of the object. It is allowed to use function without registrator, if it is needed to transform a single object. If it is needed to transform a set of connected objects, then one should use registrator to prevent repeating transformation of nested objects, because of the possible situation when several objects contain references to the same common objects, that require to be moved.
[in] | to | - Shift vector. |
[in] | iReg | - Registrator. |
Implements MbSpaceItem.
|
overridevirtual |
Rotate an object around an axis at a given angle.
Rotate an object around an axis at a given angle with the registrator. If object contains references to the other geometric objects then the rotation operation is applied to the nested objects. Registrator is needed to prevent multiple copying of the object. It is allowed to use function without registrator, if it is needed to transform a single object. If it is needed to transform a set of connected objects, then one should use registrator to prevent repeating transformation of nested objects, because of the possible situation when several objects contain references to the same common objects, that require to be rotated.
[in] | axis | - The axis of rotation. |
[in] | angle | - Rotation. |
[in] | iReg | - Registrator. |
Implements MbSpaceItem.
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Outstanding properties of the object.
Issue internal data (properties) of the object for viewing and modification.
[in] | properties | - Container for the internal data of the object. |
Implements MbSpaceItem.
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Change the properties of an object.
Changing the internal data (properties) of the object you are copying the corresponding values from the sent object.
[in] | properties | - Container for the internal data of the object. |
Implements MbSpaceItem.
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Calculate a point on the surface.
Correct parameters when getting out of rectangular domain bounds and Calculate a point on the surface.
[in] | u | - First surface parameter. |
[in] | v | - Second surface parameter. |
[out] | p | - A point on the surface. |
Implements MbSurface.
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Calculate a point on the surface.
Calculate a point on the surface including the outside area determination 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.
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Calculate point and derivatives of object for given parameters.
Values of point and derivatives are calculated on parameters area and on extended surface.
[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.
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Calculate all derivatives at point.
Values of point and derivatives are calculated an extended surface.
[in] | u | - Parameter. |
[in] | v | - Parameter. |
[out] | pnt | - Point. |
[out] | deru | - Derivative with respect to u. |
[out] | derv | - Derivative with respect to v. |
[out] | norm | - Normal. |
[out] | noru | - Derivative of normal vector with respect to u. |
[out] | norv | - Derivative of normal vector with respect to v. |
[out] | deruu | - Second derivative with respect to u. |
[out] | dervv | - Second derivative with respect to v. |
[out] | deruv | - Second derivative with respect to u and v. |
Reimplemented from MbSurface.
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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.
[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. |
Reimplemented from MbSurface.
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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.
[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. |
Reimplemented from MbSurface.
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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.
[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. |
Reimplemented from MbSurface.
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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.
[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. |
Reimplemented from MbSurface.
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Calculate parameter step.
Calculate the parameter step for approximation of a surface by the given metric length of a step along a line with a constant value of v.
[in] | u | - A parameter defining a point on the surface. |
[in] | v | - A parameter defining a point on the surface. |
[in] | len | - The given metric length. |
Reimplemented from MbSurface.
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Calculate line curvature along the direction of v.
There is calculated a line curvature along the direction of v when u = const.
[in] | u | - Parameter. |
[in] | v | - Parameter. |
Reimplemented from MbSurface.
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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.
[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.
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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.
[in] | uParam | - Parameters of construction in u direction. |
[in] | vParam | - Parameters of construction in v direction. |
Reimplemented from MbSurface.
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Create an offset surface.
[in] | d | - Distance by the normal vector from the base surface to the offset surface. |
[in] | same | - A flag showing whether to use the current surface or its copy in offset surface. |
Reimplemented from MbSurface.
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Construct spatial copy of the line u = const.
[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. |
Reimplemented from MbSurface.
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Changing of carrier elements.
It is used for union of coplanar faces. The surfaces 'item' and 'init' must be similar.
[in] | item | - Changed surface |
[in] | init | - New surface |
[in] | matr | - Transition matrix from 'item' to 'init' |
Reimplemented from MbSurface.
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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.
[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. |
Reimplemented from MbSurface.
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Get fillet radius if the surface is a fillet surface with the set accuracy.
Get fillet radius if the surface is a fillet surface with the set accuracy. Accuracy is used to compare surface slices to an arc to find rotation axis.
[in] | p | - Point near which the radius is searched. Used when the radius is variable. |
[in] | accuracy | - Accuracy. |
Reimplemented from MbSurface.
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Define whether the surfaces are similar for merge.
Surfaces are similar for merge if they coincide geometrically or one surface transits to another.
[in] | surf | - A given surface. |
[in] | version | - Version of operation. |
[in] | precision | - Precision of calculation. |
Reimplemented from MbSurface.
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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.
[in] | surf | - A given surface. |
[out] | matr | - A transformation matrix. |
[in] | version | - Version of operation. |
[in] | precision | - Precision of calculation. |
Reimplemented from MbSurface.
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Determine whether the surface is convex.
Determine whether the surface is convex.
Determine whether the surface is convex.
Reimplemented from MbSurface.
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Get the physical radius of the object or null if it impossible.
Method returns maximum physical radius by one of the parametric direction if the corresponding parametric curve is the arc, method returns zero otherwise.
Reimplemented from MbSurface.
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Combine surfaces by inclusion of the surface 'init' into the given surface.
Combine surfaces by inclusion of the surface 'init' into the given surface.
[in] | edge | - A curve of the splitting edge. |
[in] | init | - A surface which should be added into the given one |
[in] | add | - Add to end (true) or add to start (false) |
[in] | matr | - A matrix of transformation of objects from 'init' to the given surface, |
[in] | seam | - A curve of another splitting edge (possibly it is nullptr) |
Reimplemented from MbSmoothSurface.
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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.
[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.
double MbFilletSurface::GetWeight | ( | double | u | ) | const |
Weights of points of mid-curve.
Weights of points of mid-curve.
[in] | u | - Parameter on mid-curve (by U direction) |
double MbFilletSurface::GetAngle | ( | double | u | ) | const |
Arc opening angle.
Arc opening angle.
[in] | u | - Parameter by U direction |
double MbFilletSurface::GetLocalAxis | ( | double | u, |
MbAxis3D & | axis | ||
) | const |
Axis of surface at given point.
Axis of surface at given point.
[in] | u | - Parameter by U direction |
[out] | axis | - Result - rotation axis |
void MbFilletSurface::GetCentrePoint | ( | double | u, |
MbCartPoint3D & | p1, | ||
MbCartPoint3D & | p2, | ||
MbCartPoint3D & | p0 | ||
) | const |
Get point on axis.
Get point on axis.
[in] | u | - Parameter by U direction |
[out] | p1 | - Point on first support curve by U parameter |
[out] | p2 | - Point on second support curve by U parameter |
[out] | p0 | - Point on intersection curve of tangents to surfaces by u parameter (point on axis) |
bool MbFilletSurface::GetMiddlePoint | ( | double | u, |
MbCartPoint3D & | p1, | ||
MbCartPoint3D & | p2, | ||
MbCartPoint3D & | p0, | ||
double & | w | ||
) | const |
Get the mid-point.
Get the mid-point.
[in] | u | - Parameter by U direction |
[out] | p1 | - Point on first support curve by U parameter |
[out] | p2 | - Point on second support curve by U parameter |
[out] | p0 | - Mid-point |
[out] | w | - Weight of obtained mid-point |
double MbFilletSurface::GetVPeriod | ( | double | u | ) | const |
Period by direction V.
Period by direction V.
If parameterization of surface is uniform, then period by direction V depends on U parameter.
[in] | u | - Parameter by U direction |
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Fillet isn't circular.
Fillet isn't circular.
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Whether the fillet surface is homogeneous.
Whether the fillet surface is homogeneous. Fillet surface without preservation of fillet.
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General conic section.
General conic section.
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Coefficient of shape.
Coefficient of shape of section of fillet surface.
Is changed between 0.05 and 0.95, if 0, then section is circular arc.
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Fillet surface with preservation of fillet.
Fillet surface with preservation of fillet.
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Whether the first curve is fillet.
Whether the first curve is fillet.
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Set fillet surface with preservation of fillet. Need to call this->Init0() after this method.
Set fillet surface with preservation of fillet.
[in] | bc1 | - General curve on surface: curve1 (bc1 = true), curve2 (bc1 = false). |