itk::TriangleHelper< TPoint > Class Template Reference

#include <itkTriangleHelper.h>

Detailed Description

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

A convenience class for computation of various triangle elements in 2D or 3D.

Definition at line 31 of file itkTriangleHelper.h.

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 CoordRepType	ComputeMixedArea (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

Private Member Functions
void	operator= (const Self &)
	TriangleHelper (const Self &)

Member Typedef Documentation

template<typename TPoint >

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

Definition at line 36 of file itkTriangleHelper.h.

template<typename TPoint >

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

Definition at line 38 of file itkTriangleHelper.h.

template<typename TPoint >

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

Definition at line 35 of file itkTriangleHelper.h.

template<typename TPoint >

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

Definition at line 34 of file itkTriangleHelper.h.

template<typename TPoint >

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

Definition at line 37 of file itkTriangleHelper.h.

Constructor & Destructor Documentation

template<typename TPoint >

itk::TriangleHelper< TPoint >::TriangleHelper ( const Self &  )

private

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)

template<typename TPoint >

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

static

Compute Area.

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 CoordRepType itk::TriangleHelper< TPoint >::ComputeMixedArea ( const PointType &  iP1, const PointType &  iP2, const PointType &  iP3  )

static

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

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().

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::ConformalMatrixCoefficients< TInputMesh >::operator()(), and itk::AuthalicMatrixCoefficients< TInputMesh >::operator()().

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)

template<typename TPoint >

void itk::TriangleHelper< TPoint >::operator= ( const Self &  )

private

Member Data Documentation

template<typename TPoint >

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

static

Definition at line 40 of file itkTriangleHelper.h.

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

• itkTriangleHelper.h