ITK  5.0.0
Insight Segmentation and Registration Toolkit
Public Types | Public Member Functions | List of all members
itk::AuthalicMatrixCoefficients< TInputMesh > Class Template Reference

#include <itkQuadEdgeMeshParamMatrixCoefficients.h>

+ Inheritance diagram for itk::AuthalicMatrixCoefficients< TInputMesh >:
+ Collaboration diagram for itk::AuthalicMatrixCoefficients< TInputMesh >:

Detailed Description

template<typename TInputMesh>
class itk::AuthalicMatrixCoefficients< TInputMesh >

Compute a matrix filled with Authalic Coefiicients of the edge, wherever two vertices are connected with an edge.

Note
Belongs to the Parameterisation package.
See paper:
Examples:
SphinxExamples/src/Filtering/QuadEdgeMeshFiltering/ComputePlanarParameterizationOfAMesh/Code.cxx, and WikiExamples/Meshes/QuadEdgeMeshParameterizationFilter.cxx.

Definition at line 182 of file itkQuadEdgeMeshParamMatrixCoefficients.h.

Public Types

using InputCoordRepType = typename InputMeshType::CoordRepType
 
using InputMeshType = TInputMesh
 
using InputPointIdentifier = typename InputMeshType::PointIdentifier
 
using InputPointType = typename InputMeshType::PointType
 
using InputQEType = typename InputMeshType::QEType
 
using Superclass = MatrixCoefficients< TInputMesh >
 
- Public Types inherited from itk::MatrixCoefficients< TInputMesh >
using InputCoordRepType = typename InputMeshType::CoordRepType
 
using InputMeshType = TInputMesh
 
using InputQEType = typename InputMeshType::QEType
 

Public Member Functions

 AuthalicMatrixCoefficients ()=default
 
InputCoordRepType operator() (const InputMeshType *iMesh, InputQEType *iEdge) const override
 
- Public Member Functions inherited from itk::MatrixCoefficients< TInputMesh >
 MatrixCoefficients ()=default
 
virtual ~MatrixCoefficients ()=default
 

Member Typedef Documentation

template<typename TInputMesh>
using itk::AuthalicMatrixCoefficients< TInputMesh >::InputCoordRepType = typename InputMeshType::CoordRepType

Definition at line 188 of file itkQuadEdgeMeshParamMatrixCoefficients.h.

template<typename TInputMesh>
using itk::AuthalicMatrixCoefficients< TInputMesh >::InputMeshType = TInputMesh

Definition at line 187 of file itkQuadEdgeMeshParamMatrixCoefficients.h.

template<typename TInputMesh>
using itk::AuthalicMatrixCoefficients< TInputMesh >::InputPointIdentifier = typename InputMeshType::PointIdentifier

Definition at line 190 of file itkQuadEdgeMeshParamMatrixCoefficients.h.

template<typename TInputMesh>
using itk::AuthalicMatrixCoefficients< TInputMesh >::InputPointType = typename InputMeshType::PointType

Definition at line 189 of file itkQuadEdgeMeshParamMatrixCoefficients.h.

template<typename TInputMesh>
using itk::AuthalicMatrixCoefficients< TInputMesh >::InputQEType = typename InputMeshType::QEType

Definition at line 191 of file itkQuadEdgeMeshParamMatrixCoefficients.h.

template<typename TInputMesh>
using itk::AuthalicMatrixCoefficients< TInputMesh >::Superclass = MatrixCoefficients< TInputMesh >

Definition at line 185 of file itkQuadEdgeMeshParamMatrixCoefficients.h.

Constructor & Destructor Documentation

template<typename TInputMesh>
itk::AuthalicMatrixCoefficients< TInputMesh >::AuthalicMatrixCoefficients ( )
default

Member Function Documentation

template<typename TInputMesh>
InputCoordRepType itk::AuthalicMatrixCoefficients< TInputMesh >::operator() ( const InputMeshType iMesh,
InputQEType iEdge 
) const
inlineoverridevirtual
Parameters
[in]iMesh
[in]iEdge
Returns
$ \frac{\cot \gamma_{ij} + \cot \delta_{ij}}{\|\boldsymbol{p1} - \boldsymbol{p2} \|^2} $

Implements itk::MatrixCoefficients< TInputMesh >.

Definition at line 201 of file itkQuadEdgeMeshParamMatrixCoefficients.h.

References itk::TriangleHelper< TPoint >::Cotangent().


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