Tangential complex reference manual

class gudhi.TangentialComplex

Bases: object

The class Tangential_complex represents a tangential complex. After the computation of the complex, an optional post-processing called perturbation can be run to attempt to remove inconsistencies.

__init__()

TangentialComplex constructor.

Parameters:
  • intrisic_dim (integer) – Intrinsic dimension of the manifold.
  • points (list of list of double) – A list of points in d-Dimension.

Or

Parameters:off_file (string) – An OFF file style name.
compute_tangential_complex()

This function computes the tangential complex.

Raises:
ValueError: In debug mode, if the computed star dimension is too
low. Try to set a bigger maximal edge length value with set_max_squared_edge_length() if this happens.
create_simplex_tree()

Exports the complex into a simplex tree.

Returns:A simplex tree created from the complex.
Return type:SimplexTree
fix_inconsistencies_using_perturbation()

Attempts to fix inconsistencies by perturbing the point positions.

Parameters:
  • max_perturb (double) – Maximum length of the translations used by the perturbation.
  • time_limit (double) – Time limit in seconds. If -1, no time limit is set.
get_point()

This function returns the point corresponding to a given vertex.

Parameters:vertex (int.) – The vertex.
Returns:The point.
Return type:list of float
num_inconsistent_simplices()
Returns:The number of inconsistent simplices.
Return type:unsigned
num_inconsistent_stars()
Returns:The number of stars containing at least one inconsistent simplex.
Return type:unsigned
num_simplices()
Returns:Total number of simplices in stars (including duplicates that appear in several stars).
Return type:unsigned
num_vertices()
Returns:The number of vertices.
Return type:unsigned
set_max_squared_edge_length()

Sets the maximal possible squared edge length for the edges in the triangulations.

Parameters:max_squared_edge_length (double) – Maximal possible squared edge length.

If the maximal edge length value is too low compute_tangential_complex() will throw an exception in debug mode.