ComplexWithFreeVertexOnManifoldBase< QF, N, M, _Manifold, T > Class Template Reference

A base class for a local simplicial complex with a free node on a manifold. More...

#include <ComplexWithFreeVertexOnManifold.h>

Inheritance diagram for ComplexWithFreeVertexOnManifoldBase< QF, N, M, _Manifold, T >:

List of all members.

Public Types
typedef Base::Number	Number
	The number type.
typedef Base::Vertex	Vertex
	A vertex.
typedef _Manifold	Manifold
	A parametrized manifold.
typedef ads::FixedArray< M, Number >	ManifoldPoint
	A point in the parameter space.
typedef Base::Face	Face
	A face of the simplex.
Protected Member Functions
Constructors etc.
	ComplexWithFreeVertexOnManifoldBase ()
	Default constructor. Un-initialized memory.
template<typename FaceIterator >
	ComplexWithFreeVertexOnManifoldBase (FaceIterator beginning, FaceIterator end)
	Construct from the fixed faces.
	~ComplexWithFreeVertexOnManifoldBase ()
	Trivial destructor.
Manipulators.
void	setManifold (const Manifold *manifold)
	Set the manifold.
Mathematical functions
void	computeBBox (const ManifoldPoint &point, BBox< N, T > *bb)
	Calculate the bounding box for the complex.
Number	computeContent (const ManifoldPoint &point)
	Return the content for the specified parameter point.
void	computeGradientOfContent (const Vertex &v, Vertex *gradient)
	Calculate the gradient of the content for the given free node.
Number	computeNorm2 (const Vertex &v)
	Return the 2-norm of the quality metric for the given free node.
Number	computeNorm2 (const ManifoldPoint &point)
	Return the 2-norm of the quality metric for the given free node.
void	computeGradientOfNorm2 (const Vertex &v, Vertex *gradient)
	Calculate the gradient of the 2-norm of the quality metric for the given free node.
Number	computeNorm2Modified (const Vertex &v)
	Return the 2-norm of the modified quality metric for the given free node.
Number	computeNorm2Modified (const ManifoldPoint &point)
	Return the 2-norm of the modified quality metric for the given free node.
void	computeGradientOfNorm2Modified (const Vertex &v, Vertex *gradient)
	Calculate the gradient of the 2-norm of the modified quality metric for the given free node.
Vertex	computePosition (const ManifoldPoint &point)
Protected Attributes
const Manifold *	_manifold
	The manifold data structure.

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Detailed Description

template<template< int, typename > class QF, int N, int M, class _Manifold, typename T = double>
class ComplexWithFreeVertexOnManifoldBase< QF, N, M, _Manifold, T >

A base class for a local simplicial complex with a free node on a manifold.

Parameters:

	QF	is the quality functor for the simplices.
	N	is the space dimension.
	M	is the manifold dimension.
	Manifold	is the parametrized manifold.
	T	is the number type. By default it is double.

This class implements the complex of simplices that surround a free node that lies on a manifold. It provides functions to aid in the optimization of the location of this node. The faces in the complex that are not incident to the free node are fixed. You can set the fixed faces with the ComplexWithFreeVertexOnManifold(FaceIterator begin,FaceIterator end) constructor or with set(FaceIterator begin,FaceIterator end). You can evaluate various quantities as a function of the position of the free node:

• computeBBox(const Vertex& v,BBox<N,T>* bb) calculates the bounding box for the complex.
• computeContent(const Vertex& v) returns the content of the complex.
• computeGradientOfContent(const Vertex& v,Vertex* gradient) calculates the gradient of the content.
• computeNorm2(const Vertex& v) returns the 2-norm of the quality metric.
• computeGradientOfNorm2(const Vertex& v,Vertex* gradient) calculates the gradient of the 2-norm of the quality metric.
• computeNorm2Modified(const Vertex& v) returns the 2-norm of the modified quality metric.
• computeGradientOfNorm2Modified(const Vertex& v,Vertex* gradient) calculates the gradient of the 2-norm of the modified quality metric.

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

• ComplexWithFreeVertexOnManifold.h