#!/usr/bin/env python import gudhi import matplotlib.pyplot as plt import time """ This file is part of the Gudhi Library - https://gudhi.inria.fr/ - which is released under MIT. See file LICENSE or go to https://gudhi.inria.fr/licensing/ for full license details. Author(s): Vincent Rouvreau Copyright (C) 2016 Inria Modification(s): - YYYY/MM Author: Description of the modification """ __author__ = "Vincent Rouvreau" __copyright__ = "Copyright (C) 2020 Inria" __license__ = "MIT" print("#####################################################################") print("RipsComplex (only the one-skeleton) creation from tore3D_300.off file") off_file = gudhi.__root_source_dir__ + '/data/points/tore3D_300.off' point_cloud = gudhi.read_points_from_off_file(off_file = off_file) rips_complex = gudhi.RipsComplex(points=point_cloud, max_edge_length=12.0) simplex_tree = rips_complex.create_simplex_tree(max_dimension=1) print('1. Rips complex is of dimension ', simplex_tree.dimension(), ' - ', simplex_tree.num_simplices(), ' simplices - ', simplex_tree.num_vertices(), ' vertices.') # Expansion of this one-skeleton would require a lot of memory. Let's collapse it start = time.process_time() simplex_tree.collapse_edges() print('2. Rips complex is of dimension ', simplex_tree.dimension(), ' - ', simplex_tree.num_simplices(), ' simplices - ', simplex_tree.num_vertices(), ' vertices.') simplex_tree.expansion(3) diag = simplex_tree.persistence() print("Collapse, expansion and persistence computation took ", time.process_time() - start, " sec.") # Use subplots to display diagram and density side by side fig, axes = plt.subplots(nrows=1, ncols=2, figsize=(12, 5)) gudhi.plot_persistence_diagram(diag, axes=axes[0]) axes[0].set_title("Persistence after 1 collapse") # Collapse can be performed several times. Let's collapse it 3 times start = time.process_time() simplex_tree.collapse_edges(nb_iterations = 3) print('3. Rips complex is of dimension ', simplex_tree.dimension(), ' - ', simplex_tree.num_simplices(), ' simplices - ', simplex_tree.num_vertices(), ' vertices.') simplex_tree.expansion(3) diag = simplex_tree.persistence() print("Collapse, expansion and persistence computation took ", time.process_time() - start, " sec.") gudhi.plot_persistence_diagram(diag, axes=axes[1]) axes[1].set_title("Persistence after 3 more collapses") # Plot the 2 persistence diagrams side to side to check the persistence is the same plt.show()