gsParametrization< T >::LocalParametrization Class Reference

Detailed Description

template<class T>
class gismo::gsParametrization< T >::LocalParametrization

Class maintains local parametrization This class represents a local parametrization for a point in the triangle mesh, which is identified by the vertex index. The parametrization is given by the weights lambda(i,j) which is the weight of vertex x(i) regarding x(j) according to Floater's algorithm.

An object gets constructed by a MeshInfo object, a local neighbourhood and a parametrization method. There is a function for returning the lambdas. A local parametrization is outputted by printing it's positiv lambdas.

Public Member Functions
const std::vector< T > &	getLambdas () const
	Get lambdas The lambdas are returned. More...
	LocalParametrization (const gsHalfEdgeMesh< T > &meshInfo, const LocalNeighbourhood &localNeighbourhood, const size_t parametrizationMethod=2)
	Constructor Using this constructor one needs to input mesh information, a local neighbourhood and a parametrization method. More...

Private Member Functions
void	calculateLambdas (const size_t N, VectorType &points)
	Calculate lambdas The lambdas according to Floater's algorithm are calculated. More...

Private Attributes
std::vector< T >	m_lambdas
	lambdas
size_t	m_vertexIndex
	vertex index

Constructor & Destructor Documentation

LocalParametrization	(	const gsHalfEdgeMesh< T > &	meshInfo,
		const LocalNeighbourhood &	localNeighbourhood,
		const size_t	parametrizationMethod = 2
	)

Constructor Using this constructor one needs to input mesh information, a local neighbourhood and a parametrization method.

Parameters

[in]	meshInfo	gsHalfEdgeMesh object
[in]	localNeighbourhood	local neighbourhood stores the needed information about the neighbours
[in]	parametrizationMethod	method used for parametrization, one can choose between shape, uniform, distance

Member Function Documentation

void calculateLambdas ( const size_t  N, VectorType &  points  )

private

Calculate lambdas The lambdas according to Floater's algorithm are calculated.

Parameters

[in]	N	const int - number of vertices of triangle mesh
[in]	points	std::vector<Point2D>& - two-dimensional points that have same angles ratio as mesh neighbours

const std::vector< T > & getLambdas

(

)

const

Get lambdas The lambdas are returned.

Returns

lambdas