ITK  4.6.0
Insight Segmentation and Registration Toolkit
Public Types | Static Public Member Functions | Static Public Attributes | Private Member Functions | List of all members
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< VectorTypeCrossVectorType
 
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
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
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.


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