Compute estimated scale of a point cloud or a distance matrix. Parameters ---------- X : numpy array of shape (n

This function retrieves good values for extended persistence, and separate the diagrams into the Ordinary, Relative, Extended+ and Extended- s

\brief Returns a range of permutahedral representations of facets of the simplex. * The dimension of the simplex must be strictly positive. */

Locally pair simplices around each square. Work implicitly from input, only store the filtration value of critical vertices (squares are already in in

* Return the filtration of a cell pointed by the Simplex_handle, or +inf for `null_simplex()`. **/

Args: X (numpy.array): coordinates for mass points.

Fit the Padding class on a list of persistence diagrams. Parameters: X (list of n x 2 or n x 1 numpy arrays): input pers

Fit the Landscape class on a list of persistence diagrams: if any of the values in **sample_range** is numpy.nan, replace it with the corresp

\brief Generate nbP points uniformly on a (dim-1)-sphere * and insert them in W. */

* @private */

Compute optimal scale and resolutions for a point cloud or a distance matrix. Parameters ---------- X : numpy ar

* This procedure returns x-range of a given persistence diagram. **/

* @brief : Given an address in the current complex, it returns the * corresponding address in 'other_complex'. * It assumes that other_complex h

\brief Off_reader visitor init implementation. * * The init parameters are set from OFF file header. * Dimension value is required in order

* @brief %Test if the complex is reducible using a strategy defined in the class * (by default it tests if the complex is a cone) * @details Not

\brief Check exact option * @return Exact option. */

@brief Returns if the OFF file read operation was successful or not. * * @return OFF file read status. */

Off_reader visitor maximal_face implementation - Only points are read

* returns the point that minimizes the quadric. * It inverses the quadric if its determinant is higher that a given threshold . * If the determi

* The function gives the number of possible projections to R. This function is required by the * Real_valued_topological_data concept. **/

* This function return the number of functions that allows vectorization of persistence heat map. It is required * in a concept Vectorized_topologi

* @brief Called during the collecting phase (when a cost is assigned to the edges), for each edge collected. */

* @brief Called when an edge is about to be contracted and replaced by a vertex whose position is *placement. */

* @brief Called for each selected edge which cannot be contracted because the ValidContractionPredicate is false */

* @brief Called during the processing phase (when edges are contracted), for each edge that is selected. */

This function returns a list of persistence birth and death simplices pairs. :returns: A list of persistence simplices intervals. :rt

This function returns the persistent Betti numbers of the complex. :param from_value: The persistence birth limit to be added in the

Subsample a point set by picking random vertices. :param points: The input point set. :type points: Iterable[Iterable[float]] Or :p

Create a .off file that can be visualized (e.g. with Geomview). \brief Creates a .off file called SC.off for 3D visualization, which contains the 2-sk