itk::AuthalicMatrixCoefficients< TInputMesh > Class Template Reference

#include <itkQuadEdgeMeshParamMatrixCoefficients.h>

Detailed Description

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

Compute a matrix filled with Authalic Coefficients 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.

Definition at line 198 of file itkQuadEdgeMeshParamMatrixCoefficients.h.

Inheritance diagram for itk::AuthalicMatrixCoefficients< TInputMesh >:

Collaboration diagram for itk::AuthalicMatrixCoefficients< TInputMesh >:

Public Types
using	InputCoordinateType = typename InputMeshType::CoordinateType
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	InputCoordinateType = typename InputMeshType::CoordinateType
using	InputMeshType = TInputMesh
using	InputQEType = typename InputMeshType::QEType

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

Member Typedef Documentation

InputCoordinateType

template<typename TInputMesh>

using itk::AuthalicMatrixCoefficients< TInputMesh >::InputCoordinateType = typename InputMeshType::CoordinateType

Definition at line 204 of file itkQuadEdgeMeshParamMatrixCoefficients.h.

InputMeshType

template<typename TInputMesh>

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

Definition at line 203 of file itkQuadEdgeMeshParamMatrixCoefficients.h.

InputPointIdentifier

template<typename TInputMesh>

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

Definition at line 210 of file itkQuadEdgeMeshParamMatrixCoefficients.h.

InputPointType

template<typename TInputMesh>

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

Definition at line 209 of file itkQuadEdgeMeshParamMatrixCoefficients.h.

InputQEType

template<typename TInputMesh>

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

Definition at line 211 of file itkQuadEdgeMeshParamMatrixCoefficients.h.

Superclass

template<typename TInputMesh>

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

Definition at line 201 of file itkQuadEdgeMeshParamMatrixCoefficients.h.

Constructor & Destructor Documentation

AuthalicMatrixCoefficients()

template<typename TInputMesh>

itk::AuthalicMatrixCoefficients< TInputMesh >::AuthalicMatrixCoefficients ( )

default

Member Function Documentation

operator()()

template<typename TInputMesh>

InputCoordinateType 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 222 of file itkQuadEdgeMeshParamMatrixCoefficients.h.

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

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

• itkQuadEdgeMeshParamMatrixCoefficients.h