MeshCore::MeshGeomFacet Class Reference

The MeshGeomFacet class is geometric counterpart to MeshFacet that holds the geometric data points of a triangle. More...

#include <Elements.h>

Inheritance diagram for MeshCore::MeshGeomFacet:

List of all members.

Public Member Functions
void	AdjustCirculationDirection (void)
	Adjusts the facet's orientation to its normal.
float	Area () const
	Calculates the area of a facet.
void	ArrangeNormal (const Base::Vector3f &rclN)
	Arrange the facet normal so the both vectors have the same orientation.
void	CalcNormal (void)
	Calculates the facet normal for storing internally.
float	CenterOfCircumCircle (Base::Vector3f &rclCenter) const
	Calculates the center and radius of the circum circle of the facet.
float	CenterOfInscribedCircle (Base::Vector3f &rclCenter) const
	Calculates the center and radius of the inscribed circle of the facet.
bool	ContainedByOrIntersectBoundingBox (const Base::BoundBox3f &rcBB) const
	Checks if the facet is inside the bounding box or intersects with it.
float	DistancePlaneToPoint (const Base::Vector3f &rclPoint) const
	Calculates the distance of a point to the plane defined by the triangle.
float	DistanceToLineSegment (const Base::Vector3f &rcP1, const Base::Vector3f &rcP2) const
	Calculates the shortest distance from the line segment defined by rcP1 and rcP2 to this facet.
float	DistanceToPoint (const Base::Vector3f &rclPt, Base::Vector3f &rclNt) const
	Calculates the shortest distance from the point rcPt to the facet.
float	DistanceToPoint (const Base::Vector3f &rcPt) const
	Calculates the shortest distance from the point rcPt to the facet.
void	Enlarge (float fDist)
	Enlarges the triangle.
bool	Foraminate (const Base::Vector3f &rclPt, const Base::Vector3f &rclDir, Base::Vector3f &rclRes, float fMaxAngle=F_PI) const
	Calculates the intersection point of the line defined by the base rclPt and the direction rclDir with the facet.
Base::BoundBox3f	GetBoundBox (void) const
	Returns the wrapping bounding box.
Base::Vector3f	GetGravityPoint (void) const
	Calculates the facet's gravity point.
Base::Vector3f	GetNormal (void) const
	Returns the normal of the facet.
bool	IntersectBoundingBox (const Base::BoundBox3f &rclBB) const
	Checks if the facet intersects with the given bounding box.
bool	IntersectPlaneWithLine (const Base::Vector3f &rclBase, const Base::Vector3f &rclNormal, Base::Vector3f &rclRes) const
	Checks if the plane defined by the facet rclFacet intersects with the line defined by the base rclBase and the direction rclNormal and returns the intersection point rclRes if possible.
int	IntersectWithFacet (const MeshGeomFacet &facet, Base::Vector3f &rclPt0, Base::Vector3f &rclPt1) const
	Intersect the facet with the other facet The result is line given by two points (if intersected).
bool	IntersectWithFacet (const MeshGeomFacet &rclFacet) const
	This method checks if both facets intersect.
bool	IntersectWithLine (const Base::Vector3f &rclPt, const Base::Vector3f &rclDir, Base::Vector3f &rclRes) const
	Calculates the intersection point of the line defined by the base rclPt and the direction rclDir with the facet.
bool	IntersectWithPlane (const Base::Vector3f &rclBase, const Base::Vector3f &rclNormal) const
	Checks if the facet intersects with the plane defined by the base rclBase and the normal rclNormal.
bool	IntersectWithPlane (const Base::Vector3f &rclBase, const Base::Vector3f &rclNormal, Base::Vector3f &rclP1, Base::Vector3f &rclP2) const
	Checks if the facet intersects with the plane defined by the base rclBase and the normal rclNormal and returns true if two points are found, false otherwise.
bool	IsDeformed () const
	Checks whether the triangle is deformed.
bool	IsDegenerated () const
	Checks whether the triangle is degenerated.
bool	IsFlag (MeshFacet::TFlagType tF) const
	Query the flag state of the facet.
bool	IsPointOf (const Base::Vector3f &rclPoint) const
	Checks if the point is inside or at the border of the facet.
bool	IsPointOf (const Base::Vector3f &rclPoint, float fDistance) const
	Checks if the point is part of the facet.
bool	IsPointOfFace (const Base::Vector3f &rclP, float fDistance) const
	Checks whether the given point is inside the facet with tolerance fDistance.
bool	IsPointOfSphere (const MeshGeomFacet &rFacet) const
	This is an overloaded member function, provided for convenience.
bool	IsPointOfSphere (const Base::Vector3f &rP) const
	The center and radius of the circum circle define a sphere in 3D.
float	MaximumAngle () const
	Calculates the maximum angle of a facet.
void	NearestEdgeToPoint (const Base::Vector3f &rclPt, float &fDistance, unsigned short &side) const
	Returns the edge number side of the facet and the distance to the edge that is nearest to the point rclPt.
unsigned short	NearestEdgeToPoint (const Base::Vector3f &rclPt) const
	Returns the edge number of the facet that is nearest to the point rclPt.
void	NormalInvalid (void)
	Checks if the normal is not yet calculated.
float	Perimeter () const
	Calculates the perimeter of the facet.
void	ProjectFacetToPlane (MeshGeomFacet &rclFacet) const
	Calculates the projection of a facet onto the plane defined by the triangle.
void	ProjectPointToPlane (Base::Vector3f &rclPoint) const
	Calculates the projection of a point onto the plane defined by the triangle.
void	ResetFlag (MeshFacet::TFlagType tF)
	Reset flag state.
void	SetFlag (MeshFacet::TFlagType tF)
	Set flag state.
void	SetNormal (const Base::Vector3f &rclNormal)
	Sets the facet's normal.
void	SubSample (float fStep, std::vector< Base::Vector3f > &rclPoints) const
	Subsamples the facet into points with resolution fStep.
float	VolumeOfPrism (const MeshGeomFacet &rclF) const
	Calculates the volume of the prism defined by two facets.
bool	Weights (const Base::Vector3f &rclP, float &w0, float &w1, float &w2) const
	Calculates the weights w1, .
Construction

	MeshGeomFacet (const Base::Vector3f &v1, const Base::Vector3f &v2, const Base::Vector3f &v3)
	Constructor with the corner points.
	MeshGeomFacet (void)
	default constructor
	~MeshGeomFacet (void)
	Destruction.
Public Attributes
Base::Vector3f	_aclPoints [3]
	Geometric corner points.
unsigned char	_ucFlag
	Flag property.
unsigned long	_ulProp
	Free usable property.
Protected Attributes
bool	_bNormalCalculated
	True if the normal is already calculated.
Base::Vector3f	_clNormal
	Normal of the facet.

Detailed Description

The MeshGeomFacet class is geometric counterpart to MeshFacet that holds the geometric data points of a triangle.

Definition at line 292 of file Elements.h.

Constructor & Destructor Documentation

MeshGeomFacet::MeshGeomFacet ( void )

default constructor

Definition at line 224 of file Elements.cpp.

Referenced by Weights().

MeshGeomFacet::MeshGeomFacet	(	const Base::Vector3f &	v1,
		const Base::Vector3f &	v2,
		const Base::Vector3f &	v3
	)

Constructor with the corner points.

Definition at line 232 of file Elements.cpp.

References _aclPoints.

MeshCore::MeshGeomFacet::~MeshGeomFacet ( void ) [inline]

Destruction.

Definition at line 302 of file Elements.h.

Member Function Documentation

void MeshCore::MeshGeomFacet::AdjustCirculationDirection ( void ) [inline]

Adjusts the facet's orientation to its normal.

Definition at line 679 of file Elements.h.

References _aclPoints, _clNormal, and boost::numeric::bindings::atlas::swap().

float MeshCore::MeshGeomFacet::Area ( ) const [inline]

Calculates the area of a facet.

Definition at line 700 of file Elements.h.

References _aclPoints.

Referenced by CenterOfCircumCircle(), CenterOfInscribedCircle(), best_fit::Comp_Normals(), MeshGui::ViewProviderMesh::createToolMesh(), fit_iter(), MeshCore::MeshRefPointToFacets::GetNormal(), offset_mesh(), and Weights().

void MeshCore::MeshGeomFacet::ArrangeNormal ( const Base::Vector3f & rclN ) [inline]

Arrange the facet normal so the both vectors have the same orientation.

Definition at line 667 of file Elements.h.

References _clNormal, SketcherExample::f, and GetNormal().

void MeshCore::MeshGeomFacet::CalcNormal ( void ) [inline]

Calculates the facet normal for storing internally.

Definition at line 644 of file Elements.h.

References _aclPoints, _bNormalCalculated, _clNormal, and Base::Vector3< _Precision >::Normalize().

Referenced by Mesh::MeshPy::addFacets(), best_fit_test(), Mesh::MeshObject::createMeshFromList(), MeshGui::ViewProviderMesh::createToolMesh(), SpringbackCorrection::FaceCheck(), MeshCore::MeshKernel::GetFacet(), GetNormal(), and ReadDyna::PutInMesh().

float MeshGeomFacet::CenterOfCircumCircle ( Base::Vector3f & rclCenter ) const

Calculates the center and radius of the circum circle of the facet.

Definition at line 883 of file Elements.cpp.

References _aclPoints, Area(), KDL::sqrt(), RobotExample::w, Base::Vector3< _Precision >::x, Base::Vector3< _Precision >::y, and Base::Vector3< _Precision >::z.

Referenced by MeshCore::MeshTopoAlgorithm::DelaunayFlip(), and IsPointOfSphere().

float MeshGeomFacet::CenterOfInscribedCircle ( Base::Vector3f & rclCenter ) const

Calculates the center and radius of the inscribed circle of the facet.

Definition at line 860 of file Elements.cpp.

References _aclPoints, Area(), FemExample::b, Sketcher::Distance, RobotExample::w, Base::Vector3< _Precision >::x, Base::Vector3< _Precision >::y, and Base::Vector3< _Precision >::z.

bool MeshCore::MeshGeomFacet::ContainedByOrIntersectBoundingBox ( const Base::BoundBox3f & rcBB ) const [inline]

Checks if the facet is inside the bounding box or intersects with it.

Definition at line 706 of file Elements.h.

References _aclPoints, GetBoundBox(), IntersectBoundingBox(), and Base::BoundBox3< _Precision >::IsInBox().

float MeshCore::MeshGeomFacet::DistancePlaneToPoint ( const Base::Vector3f & rclPoint ) const [inline]

Calculates the distance of a point to the plane defined by the triangle.

Definition at line 638 of file Elements.h.

References _aclPoints, Base::Vector3< _Precision >::DistanceToPlane(), and GetNormal().

Referenced by IsPointOf().

float MeshGeomFacet::DistanceToLineSegment	(	const Base::Vector3f &	rcP1,
		const Base::Vector3f &	rcP2
	)			const

Calculates the shortest distance from the line segment defined by rcP1 and rcP2 to this facet.

Definition at line 640 of file Elements.cpp.

References _aclPoints, SketcherExample::f, Wm4::DistSegment3Triangle3< Real >::Get(), Wm4::Vector3< Real >::Length(), Wm4::Vector3< Real >::Normalize(), draftTools::p, MovieTool::x, Base::Vector3< _Precision >::x, MovieTool::y, Base::Vector3< _Precision >::y, and Base::Vector3< _Precision >::z.

Referenced by MeshCore::MeshAlgorithm::SearchFacetsFromPolyline().

float MeshGeomFacet::DistanceToPoint	(	const Base::Vector3f &	rclPt,
		Base::Vector3f &	rclNt
	)			const

Calculates the shortest distance from the point rcPt to the facet.

rclNt is the point of the facet with shortest distance.

Definition at line 664 of file Elements.cpp.

References _aclPoints, Wm4::DistVector3Triangle3< Real >::Get(), Wm4::Distance< Real, Vector3< Real > >::GetClosestPoint1(), Base::Vector3< _Precision >::Set(), Wm4::Vector3< Real >::X(), MovieTool::x, Base::Vector3< _Precision >::x, Wm4::Vector3< Real >::Y(), MovieTool::y, Base::Vector3< _Precision >::y, Wm4::Vector3< Real >::Z(), and Base::Vector3< _Precision >::z.

float MeshCore::MeshGeomFacet::DistanceToPoint ( const Base::Vector3f & rcPt ) const [inline]

Calculates the shortest distance from the point rcPt to the facet.

Definition at line 416 of file Elements.h.

References DistanceToPoint().

Referenced by MeshCore::MeshAlgorithm::Distance(), DistanceToPoint(), MeshCore::MeshAlgorithm::NearestPointFromPoint(), and MeshCore::MeshFacetGrid::SearchNearestFacetInGrid().

void MeshGeomFacet::Enlarge ( float fDist )

Enlarges the triangle.

Definition at line 365 of file Elements.cpp.

References _aclPoints, Base::Vector3< _Precision >::GetAngle(), Base::Vector3< _Precision >::Normalize(), Base::Vector3< _Precision >::Scale(), and KDL::sin().

bool MeshGeomFacet::Foraminate	(	const Base::Vector3f &	rclPt,
		const Base::Vector3f &	rclDir,
		Base::Vector3f &	rclRes,
		float	fMaxAngle = `F_PI`
	)			const

Calculates the intersection point of the line defined by the base rclPt and the direction rclDir with the facet.

The intersection must be inside the facet. If there is no intersection false is returned. This does actually the same as IntersectWithLine() with one additionally constraint that the angle between the direction of the line and the normal of the plane must not exceed fMaxAngle.

Definition at line 575 of file Elements.cpp.

References _aclPoints, eps, SketcherExample::f, Base::Vector3< _Precision >::GetAngle(), GetNormal(), RobotExample::t, and RobotExample::w.

Referenced by MeshCore::MeshAlgorithm::NearestFacetOnRay(), and MeshCore::MeshAlgorithm::RayNearestField().

Base::BoundBox3f MeshCore::MeshGeomFacet::GetBoundBox ( void ) const [inline]

Returns the wrapping bounding box.

Definition at line 686 of file Elements.h.

References _aclPoints.

Referenced by ContainedByOrIntersectBoundingBox().

Base::Vector3f MeshCore::MeshGeomFacet::GetGravityPoint ( void ) const [inline]

Calculates the facet's gravity point.

Definition at line 674 of file Elements.h.

References _aclPoints, and SketcherExample::f.

Referenced by SpringbackCorrection::FaceCheck(), SpringbackCorrection::InitFaceCheck(), IntersectPlaneWithLine(), MeshCore::MeshPlaneVisitor::MeshPlaneVisitor(), MeshCore::MeshRefPointToFacets::Neighbours(), MeshCore::MeshSearchNeighbours::NeighboursFacetFromFacet(), MeshCore::MeshSearchNeighbours::NeighboursFromFacet(), MeshCore::MeshSearchNeighbours::NeighboursFromSampledFacets(), MeshCore::MeshRefPointToFacets::SearchNeighbours(), and MeshCore::MeshPlaneVisitor::Visit().

Base::Vector3f MeshCore::MeshGeomFacet::GetNormal ( void ) const [inline]

Returns the normal of the facet.

Definition at line 651 of file Elements.h.

References _bNormalCalculated, _clNormal, and CalcNormal().

Referenced by MeshCore::MeshKernel::AddFacet(), MeshCore::MeshBuilder::AddFacet(), MeshCore::MeshTopoAlgorithm::AdjustEdgesToCurvatureDirection(), ArrangeNormal(), MeshGui::ViewProviderMeshTransformDemolding::calcNormalVector(), best_fit::Comp_Normals(), MeshGui::ViewProviderMesh::createToolMesh(), DistancePlaneToPoint(), MeshCore::MeshEvalFoldOversOnSurface::Evaluate(), MeshCore::MeshEvalFoldsOnBoundary::Evaluate(), MeshCore::MeshEvalFoldsOnSurface::Evaluate(), SpringbackCorrection::FaceCheck(), MeshCore::MeshAlgorithm::FillupHole(), fit_iter(), Foraminate(), MeshCore::MeshRefPointToFacets::GetNormal(), SpringbackCorrection::Init(), SpringbackCorrection::InitFaceCheck(), IntersectPlaneWithLine(), IntersectWithFacet(), IsPointOf(), SpringbackCorrection::Load(), MeshCore::MeshPlaneVisitor::MeshPlaneVisitor(), offset_mesh(), MeshPart::CurveProjectorShape::projectCurve(), ProjectFacetToPlane(), ProjectPointToPlane(), MeshCore::MeshRefNormalToPoints::Rebuild(), MeshCore::MeshOutput::SaveAsciiSTL(), MeshCore::MeshOutput::SaveBinarySTL(), MeshCore::MeshOutput::SaveInventor(), MeshCore::MeshTopoAlgorithm::ShouldSwapEdge(), and SpringbackCorrection::SpringbackCorrection().

bool MeshGeomFacet::IntersectBoundingBox ( const Base::BoundBox3f & rclBB ) const

Checks if the facet intersects with the given bounding box.

Definition at line 443 of file Elements.cpp.

References _aclPoints, Base::BoundBox3< _Precision >::CalcCenter(), SketcherExample::f, Base::BoundBox3< _Precision >::IsInBox(), Base::Length, Base::BoundBox3< _Precision >::LengthX(), Base::BoundBox3< _Precision >::LengthY(), Base::BoundBox3< _Precision >::LengthZ(), Wm4::Vector3< Real >::Normalize(), Wm4::IntrSegment3Box3< Real >::Test(), draftlibs::fcgeo::v1(), Base::Vector3< _Precision >::x, Base::Vector3< _Precision >::y, and Base::Vector3< _Precision >::z.

Referenced by Inspection::MeshInspectGrid::AddFacet(), MeshCore::MeshFacetGrid::AddFacet(), and ContainedByOrIntersectBoundingBox().

bool MeshGeomFacet::IntersectPlaneWithLine	(	const Base::Vector3f &	rclBase,
		const Base::Vector3f &	rclNormal,
		Base::Vector3f &	rclRes
	)			const

Checks if the plane defined by the facet rclFacet intersects with the line defined by the base rclBase and the direction rclNormal and returns the intersection point rclRes if possible.

Definition at line 619 of file Elements.cpp.

References SketcherExample::f, GetGravityPoint(), and GetNormal().

Referenced by IntersectWithLine(), and ProjectFacetToPlane().

int MeshGeomFacet::IntersectWithFacet	(	const MeshGeomFacet &	facet,
		Base::Vector3f &	rclPt0,
		Base::Vector3f &	rclPt1
	)			const

Intersect the facet with the other facet The result is line given by two points (if intersected).

Fast Triangle-Triangle Intersection Test by Tomas M�ller http://www.acm.org/jgt/papers/Moller97/tritri.html http://www.cs.lth.se/home/Tomas_Akenine_Moller/code/.

Return is the number of intersections points: 0: no intersection, 1: one intersection point (rclPt0), 2: two intersections points (rclPt0, rclPt1)

Definition at line 778 of file Elements.cpp.

References _aclPoints, GetNormal(), IsPointOf(), tri_tri_intersect_with_isectline(), Base::Vector3< _Precision >::x, Base::Vector3< _Precision >::y, and Base::Vector3< _Precision >::z.

bool MeshGeomFacet::IntersectWithFacet ( const MeshGeomFacet & rclFacet ) const

This method checks if both facets intersect.

Fast Triangle-Triangle Intersection Test by Tomas M�ller http://www.acm.org/jgt/papers/Moller97/tritri.html http://www.cs.lth.se/home/Tomas_Akenine_Moller/code/.

Definition at line 755 of file Elements.cpp.

References _aclPoints, tri_tri_intersect(), Base::Vector3< _Precision >::x, Base::Vector3< _Precision >::y, and Base::Vector3< _Precision >::z.

Referenced by MeshCore::MeshEvalSelfIntersection::Evaluate(), MeshCore::MeshEvalSelfIntersection::GetIntersections(), and Mesh::FacetPy::intersect().

bool MeshGeomFacet::IntersectWithLine	(	const Base::Vector3f &	rclPt,
		const Base::Vector3f &	rclDir,
		Base::Vector3f &	rclRes
	)			const

Calculates the intersection point of the line defined by the base rclPt and the direction rclDir with the facet.

The intersection must be inside the facet. If there is no intersection false is returned.

Definition at line 632 of file Elements.cpp.

References SketcherExample::f, IntersectPlaneWithLine(), and IsPointOfFace().

Referenced by MeshCore::MeshEvalFoldsOnSurface::Evaluate().

bool MeshCore::MeshGeomFacet::IntersectWithPlane	(	const Base::Vector3f &	rclBase,
		const Base::Vector3f &	rclNormal
	)			const `[inline]`

Checks if the facet intersects with the plane defined by the base rclBase and the normal rclNormal.

Definition at line 729 of file Elements.h.

References _aclPoints, and Base::Vector3< _Precision >::DistanceToPlane().

bool MeshGeomFacet::IntersectWithPlane	(	const Base::Vector3f &	rclBase,
		const Base::Vector3f &	rclNormal,
		Base::Vector3f &	rclP1,
		Base::Vector3f &	rclP2
	)			const

Checks if the facet intersects with the plane defined by the base rclBase and the normal rclNormal and returns true if two points are found, false otherwise.

Definition at line 502 of file Elements.cpp.

References _aclPoints, SketcherExample::f, Wm4::IntrSegment3Plane3< Real >::Find(), Wm4::IntrSegment3Plane3< Real >::GetSegmentT(), Base::Length, Wm4::Vector3< Real >::Normalize(), draftTools::p, Base::Vector3< _Precision >::Set(), draftlibs::fcgeo::v1(), Base::Vector3< _Precision >::x, Base::Vector3< _Precision >::y, and Base::Vector3< _Precision >::z.

Referenced by MeshCore::MeshAlgorithm::GetFacetsFromPlane().

bool MeshGeomFacet::IsDeformed ( ) const

Checks whether the triangle is deformed.

The definition of a deformed triangles is not as strong as the definition of a degenerated triangle. A triangle is deformed if the maximum angle exceeds 120� or the minimum angle falls below 30�. A degenerated triangle is also a deformed triangle.

Definition at line 421 of file Elements.cpp.

References _aclPoints, SketcherExample::f, Wm4::Vector3< Real >::Normalize(), and Base::Vector3< _Precision >::Normalize().

bool MeshGeomFacet::IsDegenerated ( ) const

Checks whether the triangle is degenerated.

A triangle is degenerated if its area is less than an epsilon.

Definition at line 391 of file Elements.cpp.

References _aclPoints, MeshCore::MeshDefinitions::_fMinPointDistanceP2, and eps.

Referenced by MeshCore::MeshTopoAlgorithm::IsSwapEdgeLegal().

bool MeshCore::MeshGeomFacet::IsFlag ( MeshFacet::TFlagType tF ) const [inline]

Query the flag state of the facet.

Definition at line 376 of file Elements.h.

bool MeshGeomFacet::IsPointOf ( const Base::Vector3f & rclPoint ) const

Checks if the point is inside or at the border of the facet.

The point must already exactly lie on the plane defined by the facet, which is not checked. This method is very efficient.

Definition at line 825 of file Elements.cpp.

References _aclPoints, eps, RobotExample::t, RobotExample::w, Base::Vector3< _Precision >::x, MovieTool::x, Base::Vector3< _Precision >::y, MovieTool::y, and Base::Vector3< _Precision >::z.

bool MeshGeomFacet::IsPointOf	(	const Base::Vector3f &	rclPoint,
		float	fDistance
	)			const

Checks if the point is part of the facet.

A point is regarded as part of a facet if the distance is lower fDistance and the projected point in the facet normal direction is inside the triangle.

Definition at line 244 of file Elements.cpp.

References _aclPoints, DistancePlaneToPoint(), Base::Vector3< _Precision >::DistanceToLine(), SketcherExample::f, and GetNormal().

Referenced by IntersectWithFacet().

bool MeshGeomFacet::IsPointOfFace	(	const Base::Vector3f &	rclP,
		float	fDistance
	)			const

Checks whether the given point is inside the facet with tolerance fDistance.

This method does actually the same as IsPointOf() but this implementation is done more effective through comparison of normals.

Definition at line 306 of file Elements.cpp.

References _aclPoints, FemExample::b, SketcherExample::f, Base::Vector3< _Precision >::Length(), draftTools::p, MovieTool::x, and MovieTool::y.

Referenced by MeshCore::MeshAlgorithm::FirstFacetToVertex(), and IntersectWithLine().

bool MeshGeomFacet::IsPointOfSphere ( const MeshGeomFacet & rFacet ) const

This is an overloaded member function, provided for convenience.

It behaves essentially like the above function. If one of the facet's points is inside the sphere true is returned, otherwise false.

Definition at line 1126 of file Elements.cpp.

References _aclPoints, CenterOfCircumCircle(), draftlibs::fcvec::dist(), and Base::DistanceP2().

bool MeshGeomFacet::IsPointOfSphere ( const Base::Vector3f & rP ) const

The center and radius of the circum circle define a sphere in 3D.

If the point rP is part of this sphere true is returned, otherwise false.

Definition at line 1115 of file Elements.cpp.

References CenterOfCircumCircle(), draftlibs::fcvec::dist(), and Base::DistanceP2().

float MeshGeomFacet::MaximumAngle ( ) const

Calculates the maximum angle of a facet.

Definition at line 1100 of file Elements.cpp.

References _aclPoints, and Base::Vector3< _Precision >::GetAngle().

Referenced by MeshCore::MeshTopoAlgorithm::ShouldSwapEdge(), and MeshCore::QuasiDelaunayTriangulator::Triangulate().

void MeshGeomFacet::NearestEdgeToPoint	(	const Base::Vector3f &	rclPt,
		float &	fDistance,
		unsigned short &	side
	)			const

Returns the edge number side of the facet and the distance to the edge that is nearest to the point rclPt.

Definition at line 987 of file Elements.cpp.

References _aclPoints, Sketcher::Distance, SketcherExample::f, FLOAT_MAX, and RobotExample::t.

unsigned short MeshGeomFacet::NearestEdgeToPoint ( const Base::Vector3f & rclPt ) const

Returns the edge number of the facet that is nearest to the point rclPt.

Definition at line 916 of file Elements.cpp.

References _aclPoints, Sketcher::Distance, SketcherExample::f, FLOAT_MAX, and RobotExample::t.

Referenced by MeshCore::MeshAlgorithm::FirstFacetToVertex().

void MeshCore::MeshGeomFacet::NormalInvalid ( void ) [inline]

Checks if the normal is not yet calculated.

Definition at line 374 of file Elements.h.

Referenced by MeshCore::MeshFacetIterator::Dereference().

float MeshCore::MeshGeomFacet::Perimeter ( ) const [inline]

Calculates the perimeter of the facet.

Definition at line 691 of file Elements.h.

References _aclPoints, and Sketcher::Distance.

void MeshGeomFacet::ProjectFacetToPlane ( MeshGeomFacet & rclFacet ) const

Calculates the projection of a facet onto the plane defined by the triangle.

Definition at line 357 of file Elements.cpp.

References _aclPoints, GetNormal(), and IntersectPlaneWithLine().

void MeshGeomFacet::ProjectPointToPlane ( Base::Vector3f & rclPoint ) const

Calculates the projection of a point onto the plane defined by the triangle.

Definition at line 352 of file Elements.cpp.

References _aclPoints, GetNormal(), and Base::Vector3< _Precision >::ProjToPlane().

Referenced by MeshCore::MeshAlgorithm::FirstFacetToVertex().

void MeshCore::MeshGeomFacet::ResetFlag ( MeshFacet::TFlagType tF ) [inline]

Reset flag state.

Definition at line 382 of file Elements.h.

void MeshCore::MeshGeomFacet::SetFlag ( MeshFacet::TFlagType tF ) [inline]

Set flag state.

Definition at line 379 of file Elements.h.

void MeshCore::MeshGeomFacet::SetNormal ( const Base::Vector3f & rclNormal ) [inline]

Sets the facet's normal.

Definition at line 658 of file Elements.h.

References _bNormalCalculated, _clNormal, Base::Vector3< _Precision >::Normalize(), and Base::Vector3< _Precision >::Sqr().

Referenced by MeshCore::MeshInput::LoadAsciiSTL(), and MeshCore::MeshInput::LoadInventor().

void MeshGeomFacet::SubSample	(	float	fStep,
		std::vector< Base::Vector3f > &	rclPoints
	)			const

Subsamples the facet into points with resolution fStep.

Definition at line 683 of file Elements.cpp.

References _aclPoints, SketcherExample::f, Base::Vector3< _Precision >::Length(), Base::Vector3< _Precision >::Normalize(), px, KDL::sin(), KDL::sqrt(), boost::numeric::bindings::atlas::swap(), and RobotExample::w.

float MeshGeomFacet::VolumeOfPrism ( const MeshGeomFacet & rclF ) const

Calculates the volume of the prism defined by two facets.

Note:: The two facets must not intersect.

Definition at line 1058 of file Elements.cpp.

References _aclPoints, and Base::Length.

bool MeshGeomFacet::Weights	(	const Base::Vector3f &	rclP,
		float &	w0,
		float &	w1,
		float &	w2
	)			const

Calculates the weights w1, .

.., w3 of the corners to get the point rclP, i.e. rclP = w0*v0 + w1*v1 + w2*v2 (v0-v2 are the corners corners). If w0+w1+w2==1.0 then the point rclP lies on the plane that is spanned by the facet, otherwise the point doesn't lie on the plane. If the sum of wi is 1 and if each wi is between [0,1] than the point lies inside the facet or on the border, respectively.

If the point doesn't lie on the plane false is returned, true otherwise.

Definition at line 338 of file Elements.cpp.

References _aclPoints, Area(), SketcherExample::f, and MeshGeomFacet().