itk::TriangleHelper< TPoint > Class Template Reference

Convenient class for various triangles elements computation in 2D or 3D. More...

#include <itkTriangleHelper.h>

List of all members.

Public Types
typedef PointType::CoordRepType	CoordRepType
typedef CrossHelper< VectorType >	CrossVectorType
typedef TPoint	PointType
typedef TriangleHelper	Self
typedef PointType::VectorType	VectorType
Static Public Member Functions
static CoordRepType	ComputeAngle (const PointType &iP1, const PointType &iP2, const PointType &iP3)
static CoordRepType	ComputeArea (const PointType &iP1, const PointType &iP2, const PointType &iP3)
static PointType	ComputeBarycenter (const CoordRepType &iA1, const PointType &iP1, const CoordRepType &iA2, const PointType &iP2, const CoordRepType &iA3, const PointType &iP3)
static PointType	ComputeCircumCenter (const PointType &iP1, const PointType &iP2, const PointType &iP3)
static PointType	ComputeConstrainedCircumCenter (const PointType &iP1, const PointType &iP2, const PointType &iP3)
static PointType	ComputeGravityCenter (const PointType &iP1, const PointType &iP2, const PointType &iP3)
static VectorType	ComputeNormal (const PointType &iA, const PointType &iB, const PointType &iC)
static CoordRepType	Cotangent (const PointType &iA, const PointType &iB, const PointType &iC)
static bool	IsObtuse (const PointType &iA, const PointType &iB, const PointType &iC)
Static Public Attributes
static const unsigned int	PointDimension = PointType::PointDimension
Protected Member Functions
void	PrintSelf (std::ostream &os, Indent indent) const
	TriangleHelper ()
virtual	~TriangleHelper ()

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Detailed Description

template<typename TPoint>
class itk::TriangleHelper< TPoint >

Convenient class for various triangles elements computation in 2D or 3D.

Definition at line 29 of file itkTriangleHelper.h.

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Member Typedef Documentation

template<typename TPoint >

typedef PointType::CoordRepType itk::TriangleHelper< TPoint >::CoordRepType

Definition at line 34 of file itkTriangleHelper.h.

template<typename TPoint >

typedef CrossHelper< VectorType > itk::TriangleHelper< TPoint >::CrossVectorType

Definition at line 36 of file itkTriangleHelper.h.

template<typename TPoint >

typedef TPoint itk::TriangleHelper< TPoint >::PointType

Definition at line 33 of file itkTriangleHelper.h.

template<typename TPoint >

typedef TriangleHelper itk::TriangleHelper< TPoint >::Self

Definition at line 32 of file itkTriangleHelper.h.

template<typename TPoint >

typedef PointType::VectorType itk::TriangleHelper< TPoint >::VectorType

Definition at line 35 of file itkTriangleHelper.h.

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Constructor & Destructor Documentation

template<typename TPoint >

itk::TriangleHelper< TPoint >::TriangleHelper

(

)

[protected]

template<typename TPoint >

virtual itk::TriangleHelper< TPoint >::~TriangleHelper

(

)

[protected, virtual]

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Member Function Documentation

template<typename TPoint >

static CoordRepType itk::TriangleHelper< TPoint >::ComputeAngle	(	const PointType &	iP1,
		const PointType &	iP2,
		const PointType &	iP3
	)			[static]

Compute angles (iA,iB,iC).

Referenced by itk::QuadEdgeMeshDiscretePrincipalCurvaturesEstimator< TInputMesh, TOutputMesh >::ComputeMeanAndGaussianCurvatures(), and itk::QuadEdgeMeshDiscreteGaussianCurvatureEstimator< TInputMesh, TOutputMesh >::EstimateCurvature().

template<typename TPoint >

static CoordRepType itk::TriangleHelper< TPoint >::ComputeArea	(	const PointType &	iP1,
		const PointType &	iP2,
		const PointType &	iP3
	)			[static]

Compute Area.

Referenced by itk::QuadEdgeMeshDiscreteCurvatureEstimator< TInputMesh, TOutputMesh >::ComputeMixedArea().

template<typename TPoint >

static PointType itk::TriangleHelper< TPoint >::ComputeBarycenter	(	const CoordRepType &	iA1,
		const PointType &	iP1,
		const CoordRepType &	iA2,
		const PointType &	iP2,
		const CoordRepType &	iA3,
		const PointType &	iP3
	)			[static]

Compute barycenter, with given weights.

template<typename TPoint >

static PointType itk::TriangleHelper< TPoint >::ComputeCircumCenter	(	const PointType &	iP1,
		const PointType &	iP2,
		const PointType &	iP3
	)			[static]

Compute circum center.

template<typename TPoint >

static PointType itk::TriangleHelper< TPoint >::ComputeConstrainedCircumCenter	(	const PointType &	iP1,
		const PointType &	iP2,
		const PointType &	iP3
	)			[static]

Compute circum center constrained to be inside the triangle.

template<typename TPoint >

static PointType itk::TriangleHelper< TPoint >::ComputeGravityCenter	(	const PointType &	iP1,
		const PointType &	iP2,
		const PointType &	iP3
	)			[static]

Compute center of mass.

template<typename TPoint >

static VectorType itk::TriangleHelper< TPoint >::ComputeNormal	(	const PointType &	iA,
		const PointType &	iB,
		const PointType &	iC
	)			[static]

Compute Normal vector to the triangle formed by (iA,iB,iC).

Referenced by itk::QuadEdgeMeshDecimationQuadricElementHelper< TPoint >::AddTriangle(), itk::QuadEdgeMeshDiscretePrincipalCurvaturesEstimator< TInputMesh, TOutputMesh >::ComputeMeanAndGaussianCurvatures(), and itk::QuadEdgeMeshDiscreteMeanCurvatureEstimator< TInputMesh, TOutputMesh >::EstimateCurvature().

template<typename TPoint >

static CoordRepType itk::TriangleHelper< TPoint >::Cotangent	(	const PointType &	iA,
		const PointType &	iB,
		const PointType &	iC
	)			[static]

Compute cotangent(iA,iB,iC).

Referenced by itk::QuadEdgeMeshDiscreteCurvatureEstimator< TInputMesh, TOutputMesh >::ComputeMixedArea().

template<typename TPoint >

static bool itk::TriangleHelper< TPoint >::IsObtuse	(	const PointType &	iA,
		const PointType &	iB,
		const PointType &	iC
	)			[static]

return true if (iA,iB,iC) forms an Obtuse angle (above 90 degrees)

Referenced by itk::QuadEdgeMeshDiscreteCurvatureEstimator< TInputMesh, TOutputMesh >::ComputeMixedArea().

template<typename TPoint >

void itk::TriangleHelper< TPoint >::PrintSelf	(	std::ostream &	os,
		Indent	indent
	)			const [protected]

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Member Data Documentation

template<typename TPoint >

const unsigned int itk::TriangleHelper< TPoint >::PointDimension = PointType::PointDimension [static]

Definition at line 38 of file itkTriangleHelper.h.

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

• itkTriangleHelper.h