Modal strategy for map approximation. More...

Inheritance diagram for OptimalTransportPlanSpace::ModalStrategy< spacedim >:

Collaboration diagram for OptimalTransportPlanSpace::ModalStrategy< spacedim >:

Public Member Functions
void	compute_map (const std::function< double(const Point< spacedim > &, const Point< spacedim > &)> distance_function, const std::vector< Point< spacedim > > &source_points, const std::vector< double > &source_density, const std::vector< Point< spacedim > > &target_points, const std::vector< double > &target_density, const Vector< double > &potential, const double regularization_param, const double truncation_radius) override
	Computes the transport map.

void	save_results (const std::string &output_dir) const override
	Saves the results to a file.

Public Member Functions inherited from OptimalTransportPlanSpace::MapApproximationStrategy< spacedim >
virtual	~MapApproximationStrategy ()=default

Additional Inherited Members
Protected Attributes inherited from OptimalTransportPlanSpace::MapApproximationStrategy< spacedim >
std::vector< Point< spacedim > >	source_points
	The source points.

std::vector< Point< spacedim > >	mapped_points
	The mapped points.

std::vector< double >	transport_density
	The transported density.

Detailed Description

template<int spacedim>
class OptimalTransportPlanSpace::ModalStrategy< spacedim >

Modal strategy for map approximation.

Maps each source point to the target point that maximizes: score = potential[j] - 0.5*||x-y||^2 + regularization_param * log(target_density[j])

Template Parameters

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

Definition at line 194 of file OptimalTransportPlan.h.

Member Function Documentation

template<int spacedim>

void OptimalTransportPlanSpace::ModalStrategy< spacedim >::compute_map	(	const std::function< double(const Point< spacedim > &, const Point< spacedim > &)>	distance_function,
		const std::vector< Point< spacedim > > &	source_points,
		const std::vector< double > &	source_density,
		const std::vector< Point< spacedim > > &	target_points,
		const std::vector< double > &	target_density,
		const Vector< double > &	potential,
		const double	regularization_param,
		const double	truncation_radius
	)

overridevirtual

Computes the transport map.

Parameters

distance_function	The distance function.
source_points	The source points.
source_density	The source density.
target_points	The target points.
target_density	The target density.
potential	The optimal transport potential.
regularization_param	The regularization parameter.
truncation_radius	The truncation radius.