Gedim::VoroInterface Class Reference

#include <VoroInterface.hpp>

Classes
struct	Cell0D
struct	Cell1D
struct	Cell2D
struct	Cell3D

Public Member Functions
	VoroInterface (const Gedim::GeometryUtilities &geometryUtilities)
Eigen::MatrixXd	GenerateRandomPoints (const Eigen::MatrixXd &domainVertices, const unsigned int &numPoints, const unsigned int random_seed=Gedim::Utilities::RandomSeed())
	Generate a set of random points inside a parallelepipedal/parallelogram domain.
void	GenerateVoronoiTassellations2D (const Eigen::MatrixXd &polygonVertices, const unsigned int &numPoints, const unsigned int &numIterations, Gedim::IMeshDAO &mesh, const unsigned int random_seed=Gedim::Utilities::RandomSeed())
void	GenerateVoronoiTassellations2D (const Eigen::MatrixXd &polygonVertices, const unsigned int &numIterations, Eigen::MatrixXd &VoronoiPoints, Gedim::IMeshDAO &mesh)
	Generate a 2D centroidal Voronoi tessellation from prescribed seeds. The function computes a centroidal Voronoi tessellation inside the input parallelogram using the points contained in VoronoiPoints as initial seeds. The seed positions are updated during the iterative relaxation process. On output, VoronoiPoints contains the final seed positions.
void	GenerateVoronoiTassellations3D (const Eigen::MatrixXd &polyhedronVertices, const Eigen::MatrixXi &polyhedronEdges, const std::vector< Eigen::MatrixXi > &polyhedronFaces, const unsigned int &numPoints, const unsigned int &numIterations, Gedim::IMeshDAO &mesh, const unsigned int random_seed=Gedim::Utilities::RandomSeed())
void	GenerateVoronoiTassellations3D (const Eigen::MatrixXd &domain_vertices, const Eigen::MatrixXi &domain_edges, const std::vector< Eigen::MatrixXi > &domain_faces, const unsigned int &num_iterations, Eigen::MatrixXd &VoronoiPoints, Gedim::IMeshDAO &mesh)
	Generate a 3D centroidal Voronoi tessellation from prescribed seeds. The function computes a centroidal Voronoi tessellation inside the input parallelepiped using the points contained in VoronoiPoints as initial seeds. The seed positions are updated during the iterative relaxation process. On output, VoronoiPoints contains the final seed positions.

Constructor & Destructor Documentation

VoroInterface()

Gedim::VoroInterface::VoroInterface

(

const Gedim::GeometryUtilities &

geometryUtilities

)

Member Function Documentation

GenerateRandomPoints()

Eigen::MatrixXd Gedim::VoroInterface::GenerateRandomPoints	(	const Eigen::MatrixXd &	domainVertices,
		const unsigned int &	numPoints,
		const unsigned int	random_seed = Gedim::Utilities::RandomSeed()
	)

Generate a set of random points inside a parallelepipedal/parallelogram domain.

The function generates numPoints points uniformly distributed inside the domain defined by domainVertices.

Parameters

domainVertices	Matrix 3 x NumVertices containing the coordinates of the domain vertices.
numPoints	Number of random points to generate.
random_seed	Seed used to initialize the random number generator.

Returns

Matrix containing the generated points, with one point per column.

GenerateVoronoiTassellations2D() [1/2]

void Gedim::VoroInterface::GenerateVoronoiTassellations2D	(	const Eigen::MatrixXd &	polygonVertices,
		const unsigned int &	numIterations,
		Eigen::MatrixXd &	VoronoiPoints,
		Gedim::IMeshDAO &	mesh
	)

Generate a 2D centroidal Voronoi tessellation from prescribed seeds. The function computes a centroidal Voronoi tessellation inside the input parallelogram using the points contained in VoronoiPoints as initial seeds. The seed positions are updated during the iterative relaxation process. On output, VoronoiPoints contains the final seed positions.

Parameters

polygonVertices	Vertices of the bounding polygon.
numIterations	Number of centroidal relaxation iterations.
VoronoiPoints	Input/output matrix containing the Voronoi seed coordinates.
mesh	Mesh object where the generated tessellation is stored.

GenerateVoronoiTassellations2D() [2/2]

void Gedim::VoroInterface::GenerateVoronoiTassellations2D	(	const Eigen::MatrixXd &	polygonVertices,
		const unsigned int &	numPoints,
		const unsigned int &	numIterations,
		Gedim::IMeshDAO &	mesh,
		const unsigned int	random_seed = Gedim::Utilities::RandomSeed()
	)

GenerateVoronoiTassellations3D() [1/2]

void Gedim::VoroInterface::GenerateVoronoiTassellations3D	(	const Eigen::MatrixXd &	domain_vertices,
		const Eigen::MatrixXi &	domain_edges,
		const std::vector< Eigen::MatrixXi > &	domain_faces,
		const unsigned int &	num_iterations,
		Eigen::MatrixXd &	VoronoiPoints,
		Gedim::IMeshDAO &	mesh
	)

Generate a 3D centroidal Voronoi tessellation from prescribed seeds. The function computes a centroidal Voronoi tessellation inside the input parallelepiped using the points contained in VoronoiPoints as initial seeds. The seed positions are updated during the iterative relaxation process. On output, VoronoiPoints contains the final seed positions.

Parameters

domain_vertices	Vertices of the bounding polyhedron.
domain_edges	Edge connectivity of the bounding polyhedron.
domain_faces	Face connectivity of the bounding polyhedron.
num_iterations	Number of centroidal relaxation iterations.
VoronoiPoints	Input/output matrix containing the Voronoi seed coordinates.
mesh	Mesh object where the generated tessellation is stored.

GenerateVoronoiTassellations3D() [2/2]

void Gedim::VoroInterface::GenerateVoronoiTassellations3D	(	const Eigen::MatrixXd &	polyhedronVertices,
		const Eigen::MatrixXi &	polyhedronEdges,
		const std::vector< Eigen::MatrixXi > &	polyhedronFaces,
		const unsigned int &	numPoints,
		const unsigned int &	numIterations,
		Gedim::IMeshDAO &	mesh,
		const unsigned int	random_seed = Gedim::Utilities::RandomSeed()
	)

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

• VoroInterface.hpp
• VoroInterface.cpp