A class for computing power diagrams using deal.II. More...

#include <PowerDiagram.h>

Inheritance diagram for PowerDiagramSpace::DealIIPowerDiagram< dim, spacedim >:

Collaboration diagram for PowerDiagramSpace::DealIIPowerDiagram< dim, spacedim >:

Public Member Functions
	DealIIPowerDiagram (const Triangulation< dim, spacedim > &source_mesh)
	Constructor for the DealIIPowerDiagram class.

void	set_generators (const std::vector< Point< spacedim > > &points, const Vector< double > &potentials) override
	Sets the generator points and their potentials.

void	set_distance_function (const std::function< double(const Point< spacedim > &, const Point< spacedim > &)> &dist)
	Sets the distance function to be used.

double	power_distance (const Point< spacedim > &point, const unsigned int generator_idx) const
	Computes the power distance between a point and a generator.

void	compute_power_diagram () override
	Computes the power diagram.

void	output_vtu (const std::string &filename) const override
	Outputs the power diagram to a VTU file.

unsigned int	get_cell_assignment (const unsigned int cell_index) const
	Returns the assignment of a cell to a generator.

const std::vector< unsigned int > &	get_cell_assignments () const
	Returns the assignments of all cells to generators.

void	compute_cell_centroids () override
	Computes the centroids of the power cells.

void	save_centroids_to_file (const std::string &filename) const override
	Saves the centroids of the power cells to a file.

const std::vector< Point< spacedim > > &	get_cell_centroids () const override
	Returns the centroids of the power cells.

Public Member Functions inherited from PowerDiagramSpace::PowerDiagramBase< dim, spacedim >
virtual	~PowerDiagramBase ()=default

Private Attributes
const Triangulation< dim, spacedim > *	source_triangulation
	The source triangulation.

std::vector< unsigned int >	cell_assignments
	The assignments of cells to generators.

std::function< double(const Point< spacedim > &, const Point< spacedim > &)>	distance_function
	The distance function.

Additional Inherited Members
Protected Attributes inherited from PowerDiagramSpace::PowerDiagramBase< dim, spacedim >
std::vector< Point< spacedim > >	generator_points
	The generator points.

std::vector< double >	generator_potentials
	The potentials of the generator points.

std::vector< Point< spacedim > >	cell_centroids
	The centroids of the power cells.

Detailed Description

template<int dim, int spacedim = dim>
class PowerDiagramSpace::DealIIPowerDiagram< dim, spacedim >

A class for computing power diagrams using deal.II.

Template Parameters

dim	The dimension of the mesh.
spacedim	The dimension of the space the mesh is embedded in.

Definition at line 90 of file PowerDiagram.h.

Constructor & Destructor Documentation

◆ DealIIPowerDiagram()

template<int dim, int spacedim>

PowerDiagramSpace::DealIIPowerDiagram< dim, spacedim >::DealIIPowerDiagram ( const Triangulation< dim, spacedim > & source_mesh )

Constructor for the DealIIPowerDiagram class.

Parameters

source_mesh The source mesh.

Definition at line 8 of file PowerDiagramDealII.cc.

Member Function Documentation

◆ set_generators()

template<int dim, int spacedim>

void PowerDiagramSpace::DealIIPowerDiagram< dim, spacedim >::set_generators	(	const std::vector< Point< spacedim > > &	points,
		const Vector< double > &	potentials
	)

overridevirtual

Sets the generator points and their potentials.

Parameters

points	The generator points.
potentials	The potentials of the generator points.

Implements PowerDiagramSpace::PowerDiagramBase< dim, spacedim >.

Definition at line 14 of file PowerDiagramDealII.cc.

◆ set_distance_function()

template<int dim, int spacedim = dim>

void PowerDiagramSpace::DealIIPowerDiagram< dim, spacedim >::set_distance_function ( const std::function< double(const Point< spacedim > &, const Point< spacedim > &)> & dist )

inline

Sets the distance function to be used.

Parameters

dist	The distance function.

Definition at line 110 of file PowerDiagram.h.

◆ power_distance()

template<int dim, int spacedim>

double PowerDiagramSpace::DealIIPowerDiagram< dim, spacedim >::power_distance	(	const Point< spacedim > &	point,
		const unsigned int	generator_idx
	)		const

Computes the power distance between a point and a generator.

Parameters

point	The point.
generator_idx	The index of the generator.

Returns: The power distance.

Definition at line 26 of file PowerDiagramDealII.cc.

◆ compute_power_diagram()

template<int dim, int spacedim>

void PowerDiagramSpace::DealIIPowerDiagram< dim, spacedim >::compute_power_diagram ( )

overridevirtual

Computes the power diagram.

Implements PowerDiagramSpace::PowerDiagramBase< dim, spacedim >.

Definition at line 37 of file PowerDiagramDealII.cc.

◆ output_vtu()

template<int dim, int spacedim>

void PowerDiagramSpace::DealIIPowerDiagram< dim, spacedim >::output_vtu ( const std::string & filename ) const

overridevirtual

Outputs the power diagram to a VTU file.

Parameters

filename The name of the output file.

Implements PowerDiagramSpace::PowerDiagramBase< dim, spacedim >.

Definition at line 63 of file PowerDiagramDealII.cc.

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◆ get_cell_assignment()

template<int dim, int spacedim>

unsigned int PowerDiagramSpace::DealIIPowerDiagram< dim, spacedim >::get_cell_assignment ( const unsigned int cell_index ) const

Returns the assignment of a cell to a generator.

Parameters

cell_index The index of the cell.

Returns: The index of the generator.

Definition at line 77 of file PowerDiagramDealII.cc.

◆ get_cell_assignments()

template<int dim, int spacedim>

const std::vector< unsigned int > & PowerDiagramSpace::DealIIPowerDiagram< dim, spacedim >::get_cell_assignments ( ) const

Returns the assignments of all cells to generators.

Definition at line 85 of file PowerDiagramDealII.cc.

◆ compute_cell_centroids()

template<int dim, int spacedim>

void PowerDiagramSpace::DealIIPowerDiagram< dim, spacedim >::compute_cell_centroids ( )

overridevirtual

Computes the centroids of the power cells.

Implements PowerDiagramSpace::PowerDiagramBase< dim, spacedim >.

Definition at line 91 of file PowerDiagramDealII.cc.

◆ save_centroids_to_file()

template<int dim, int spacedim>

void PowerDiagramSpace::DealIIPowerDiagram< dim, spacedim >::save_centroids_to_file ( const std::string & filename ) const

overridevirtual

Saves the centroids of the power cells to a file.

Parameters

filename The name of the output file.

Implements PowerDiagramSpace::PowerDiagramBase< dim, spacedim >.

Definition at line 129 of file PowerDiagramDealII.cc.

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◆ get_cell_centroids()

template<int dim, int spacedim>

const std::vector< Point< spacedim > > & PowerDiagramSpace::DealIIPowerDiagram< dim, spacedim >::get_cell_centroids ( ) const

overridevirtual

Returns the centroids of the power cells.

Implements PowerDiagramSpace::PowerDiagramBase< dim, spacedim >.

Definition at line 139 of file PowerDiagramDealII.cc.

Member Data Documentation

◆ source_triangulation

template<int dim, int spacedim = dim>

const Triangulation<dim, spacedim>* PowerDiagramSpace::DealIIPowerDiagram< dim, spacedim >::source_triangulation

private

The source triangulation.

Definition at line 162 of file PowerDiagram.h.

◆ cell_assignments

template<int dim, int spacedim = dim>

std::vector<unsigned int> PowerDiagramSpace::DealIIPowerDiagram< dim, spacedim >::cell_assignments

private

The assignments of cells to generators.

Definition at line 163 of file PowerDiagram.h.

◆ distance_function

template<int dim, int spacedim = dim>

std::function<double(const Point<spacedim>&, const Point<spacedim>&)> PowerDiagramSpace::DealIIPowerDiagram< dim, spacedim >::distance_function

private

The distance function.

Definition at line 164 of file PowerDiagram.h.

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

include/SemiDiscreteOT/core/PowerDiagram.h
src/core/PowerDiagramDealII.cc

Public Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ DealIIPowerDiagram()

Member Function Documentation

◆ set_generators()

◆ set_distance_function()

◆ power_distance()

◆ compute_power_diagram()

◆ output_vtu()

◆ get_cell_assignment()

◆ get_cell_assignments()

◆ compute_cell_centroids()

◆ save_centroids_to_file()

◆ get_cell_centroids()

Member Data Documentation

◆ source_triangulation

◆ cell_assignments

◆ distance_function