ITK  5.3.0
Insight Toolkit
Public Types | Static Public Member Functions | Static Public Attributes | List of all members
itk::TriangleHelper< TPoint > Class Template Reference

#include <itkTriangleHelper.h>

Public Types

using CoordRepType = typename PointType::CoordRepType
 
using CrossVectorType = CrossHelper< VectorType >
 
using PointType = TPoint
 
using Self = TriangleHelper
 
using VectorType = typename PointType::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 constexpr unsigned int PointDimension = PointType::PointDimension
 

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.

Member Typedef Documentation

◆ CoordRepType

template<typename TPoint >
using itk::TriangleHelper< TPoint >::CoordRepType = typename PointType::CoordRepType

Definition at line 36 of file itkTriangleHelper.h.

◆ CrossVectorType

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

Definition at line 38 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 37 of file itkTriangleHelper.h.

Member Function Documentation

◆ ComputeAngle()

template<typename TPoint >
static CoordRepType itk::TriangleHelper< TPoint >::ComputeAngle ( const PointType iP1,
const PointType iP2,
const PointType iP3 
)
static

Compute angles (iA,iB,iC)

◆ ComputeArea()

template<typename TPoint >
static CoordRepType 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 CoordRepType iA1,
const PointType iP1,
const CoordRepType iA2,
const PointType iP2,
const CoordRepType 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 CoordRepType 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().

◆ Cotangent()

template<typename TPoint >
static CoordRepType itk::TriangleHelper< TPoint >::Cotangent ( const PointType iA,
const PointType iB,
const PointType iC 
)
static

◆ 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 40 of file itkTriangleHelper.h.


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