Global conformal parameterization using holomorphic 1-forms. More...

Classes
class	Euclid::Holomorphic_one_forms_parameterizer3< Mesh, SEM, SVM >
	Compute plane parameterization with holomorphic 1-forms. More...

Functions
template<typename Mesh , typename DerivedA , typename DerivedB >
void	Euclid::holomorphic_one_form_basis (const Mesh &mesh, Eigen::MatrixBase< DerivedA > &primal, Eigen::MatrixBase< DerivedB > &conjugate)
	Compute the holomorphic basis. More...

template<typename Mesh , typename DerivedA , typename DerivedB >
void	Euclid::holomorphic_one_form_basis (const Mesh &mesh, const VertexChains< Mesh > &homology_generators, Eigen::MatrixBase< DerivedA > &primal, Eigen::MatrixBase< DerivedB > &conjugate)
	Compute the holomorphic basis. More...

template<typename Mesh , typename Derived , typename SEM , typename SVM , typename VertexUVMap >
void	Euclid::integrate_holomorphic_one_forms (const Mesh &mesh, const Eigen::MatrixBase< Derived > &one_forms, CGAL::Seam_mesh< Mesh, SEM, SVM > &seam_mesh, VertexUVMap uvmap)
	Integrate holomorphic 1-forms. More...

Detailed Description

Reference

[1] Gu, X., Yau, S.T. Global Conformal Surface Parameterization.

Function Documentation

template<typename Mesh , typename DerivedA , typename DerivedB >

void Euclid::holomorphic_one_form_basis	(	const Mesh &	mesh,
		Eigen::MatrixBase< DerivedA > &	primal,
		Eigen::MatrixBase< DerivedB > &	conjugate
	)

Parameters

[in]	mesh	Input mesh, genus has to be greater than 0.
[out]	primal	Primal basis.
[out]	conjugate	Conjugate basis.

template<typename Mesh , typename DerivedA , typename DerivedB >

void Euclid::holomorphic_one_form_basis	(	const Mesh &	mesh,
		const VertexChains< Mesh > &	homology_generators,
		Eigen::MatrixBase< DerivedA > &	primal,
		Eigen::MatrixBase< DerivedB > &	conjugate
	)

Parameters

[in]	mesh	Input mesh, genus has to be greater than 0.
[in]	homology_generators	Precomputed homology generators.
[out]	primal	Primal basis.
[out]	conjugate	Conjugate basis.

template<typename Mesh , typename Derived , typename SEM , typename SVM , typename VertexUVMap >

void Euclid::integrate_holomorphic_one_forms	(	const Mesh &	mesh,
		const Eigen::MatrixBase< Derived > &	one_forms,
		CGAL::Seam_mesh< Mesh, SEM, SVM > &	seam_mesh,
		VertexUVMap	uvmap
	)

Parameters

[in]	mesh	Input mesh, genus has to be greater than 0.
[in]	one_forms	Holomorphic 1-forms.
[out]	seam_mesh	The 1-forms are integrated on the seam mesh.
[out]	uvmap	A property map storing the integrated 1-forms/uv-coordinates.