Euclidean strong witness complex reference manual#

class gudhi.EuclideanStrongWitnessComplex[source]#

Constructs strong witness complex for given sets of witnesses and landmarks in Euclidean space.

__init__(landmarks=None, witnesses=None)[source]#

WitnessComplex constructor.

Parameters:

landmarks¶ (list of list of double) – A list of landmarks (in the point cloud).
witnesses¶ (list of list of double) – The point cloud.

create_simplex_tree(max_alpha_square=inf, limit_dimension=-1)[source]#

Parameters:

max_alpha_square¶ (float) – The maximum alpha square threshold the simplices shall not exceed. Default is set to infinity.
limit_dimension¶ (int) – Represents the maximal dimension of the simplicial complex. Default value (-1) means no limit.

Returns:

A simplex tree created from the Delaunay Triangulation.

Return type:

SimplexTree

get_point(self, vertex: int) → list[float]#

This function returns the point corresponding to a given vertex.