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
using	CoordinateType = typename PointType::CoordinateType
using	CrossVectorType = CrossHelper< VectorType >
using	PointType = TPoint
using	Self = TriangleHelper
using	VectorType = typename PointType::VectorType

Static Public Member Functions
static CoordinateType	ComputeAngle (const PointType &iP1, const PointType &iP2, const PointType &iP3)
static CoordinateType	ComputeArea (const PointType &iP1, const PointType &iP2, const PointType &iP3)
static PointType	ComputeBarycenter (const CoordinateType &iA1, const PointType &iP1, const CoordinateType &iA2, const PointType &iP2, const CoordinateType &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 CoordinateType	ComputeMixedArea (const PointType &iP1, const PointType &iP2, const PointType &iP3)
static VectorType	ComputeNormal (const PointType &iA, const PointType &iB, const PointType &iC)
static CoordinateType	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 constexpr unsigned int	PointDimension = PointType::PointDimension

Member Typedef Documentation

CoordinateType

template<typename TPoint >

using itk::TriangleHelper< TPoint >::CoordinateType = typename PointType::CoordinateType

Definition at line 36 of file itkTriangleHelper.h.

CrossVectorType

template<typename TPoint >

using itk::TriangleHelper< TPoint >::CrossVectorType = CrossHelper<VectorType>

Definition at line 42 of file itkTriangleHelper.h.

PointType

template<typename TPoint >

using itk::TriangleHelper< TPoint >::PointType = TPoint

Definition at line 35 of file itkTriangleHelper.h.

Self

template<typename TPoint >

using itk::TriangleHelper< TPoint >::Self = TriangleHelper

Definition at line 34 of file itkTriangleHelper.h.

VectorType

template<typename TPoint >

using itk::TriangleHelper< TPoint >::VectorType = typename PointType::VectorType

Definition at line 41 of file itkTriangleHelper.h.

Member Function Documentation

ComputeAngle()

template<typename TPoint >

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

static

Compute angles (iA,iB,iC)

Referenced by itk::DiscretePrincipalCurvaturesQuadEdgeMeshFilter< TInputMesh, TOutputMesh >::ComputeMeanAndGaussianCurvatures().

ComputeArea()

template<typename TPoint >

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

static

Compute Area.

ComputeBarycenter()

template<typename TPoint >

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

static

Compute barycenter, with given weights.

ComputeCircumCenter()

template<typename TPoint >

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

static

Compute circum center.

ComputeConstrainedCircumCenter()

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.

ComputeGravityCenter()

template<typename TPoint >

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

static

Compute center of mass.

ComputeMixedArea()

template<typename TPoint >

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

static

ComputeNormal()

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(), and itk::DiscretePrincipalCurvaturesQuadEdgeMeshFilter< TInputMesh, TOutputMesh >::ComputeMeanAndGaussianCurvatures().

Cotangent()

template<typename TPoint >

static CoordinateType 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()().

IsObtuse()

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)

Member Data Documentation

PointDimension

template<typename TPoint >

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

staticconstexpr

Definition at line 44 of file itkTriangleHelper.h.

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

• itkTriangleHelper.h