graph_simplicial_complex.h File Reference

Graph simplicial complex methods. More...

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Typedefs
template<typename SimplicialComplexForProximityGraph >
using	Gudhi::Proximity_graph = typename boost::adjacency_list< boost::vecS, boost::vecS, boost::directedS, boost::property< vertex_filtration_t, typename SimplicialComplexForProximityGraph::Filtration_value >, boost::property< edge_filtration_t, typename SimplicialComplexForProximityGraph::Filtration_value > >
	Proximity_graph contains the vertices and edges with their filtration values in order to store the result of Gudhi::compute_proximity_graph function. More...

Functions
template<typename SimplicialComplexForProximityGraph , typename ForwardPointRange , typename Distance >
Proximity_graph< SimplicialComplexForProximityGraph >	Gudhi::compute_proximity_graph (const ForwardPointRange &points, typename SimplicialComplexForProximityGraph::Filtration_value threshold, Distance distance)
	Computes the proximity graph of the points. More...

Detailed Description

Graph simplicial complex methods.

Typedef Documentation

Proximity_graph

template<typename SimplicialComplexForProximityGraph >

using Gudhi::Proximity_graph = typedef typename boost::adjacency_list < boost::vecS, boost::vecS, boost::directedS , boost::property < vertex_filtration_t, typename SimplicialComplexForProximityGraph::Filtration_value > , boost::property < edge_filtration_t, typename SimplicialComplexForProximityGraph::Filtration_value > >

Proximity_graph contains the vertices and edges with their filtration values in order to store the result of Gudhi::compute_proximity_graph function.

Template Parameters

SimplicialComplexForProximityGraph

furnishes Filtration_value type definition.

Function Documentation

compute_proximity_graph()

template<typename SimplicialComplexForProximityGraph , typename ForwardPointRange , typename Distance >

Proximity_graph<SimplicialComplexForProximityGraph> Gudhi::compute_proximity_graph	(	const ForwardPointRange &	points,
		typename SimplicialComplexForProximityGraph::Filtration_value	threshold,
		Distance	distance
	)

Computes the proximity graph of the points.

If points contains n elements, the proximity graph is the graph with n vertices, and an edge [u,v] iff the distance function between points u and v is smaller than threshold.

Template Parameters

SimplicialComplexForProximityGraph	furnishes Filtration_value and Vertex_handle type definitions.
ForwardPointRange	furnishes .begin() and .end() methods.
Distance	furnishes operator()(const Point& p1, const Point& p2), where Point is a point from the ForwardPointRange, and that returns a Filtration_value.

Examples:

Simplex_tree/cech_complex_cgal_mini_sphere_3d.cpp.