Topological Data Analysis: Simplicial Complex
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Documentation for package ‘SimplicialComplex’ version 0.1.2
Help Pages
| AlphaComplex | Construct an Alpha Complex |
| as_filtration | Convert a flood_complex object to a filtration list |
| bottleneck_distance | Bottleneck distance between two persistence diagrams |
| boundary | Compute the boundary operator for a simplicial complex |
| boundary_info | Get the boundary matrix and its reduction information in matrix form |
| build_cubical_filtration | Build a cubical (grid) filtration from an image |
| build_filtration | Build a filtration from a point cloud, for any of five complex types |
| build_flood_filtration | Flood filtration in SimplicialComplex format |
| CechComplex | Construct a Cech Complex |
| compare_complexes | Compare simplicial complex constructions on one point cloud |
| complex_distance | Wasserstein/bottleneck distance between two point clouds, via one chosen complex |
| DelaunayComplex | Construct a Delaunay Complex |
| diagram_matching | Optimal point matching between two persistence diagrams |
| euler_characteristic | Compute the Euler characteristic chi of a simplicial complex |
| extract_persistence_pairs | This function extracts the persistence from combining the boundary matrix and its filtration |
| faces | Generate all unique faces of a given dimension from simplices |
| flood_complex | Construct a Flood complex |
| flood_persistence | Persistence pairs via sparse boundary reduction |
| generate_landmarks | Farthest-Point Sampling of landmarks |
| persistence_landscape | Compute the persistence landscape of a persistence diagram |
| persistence_pairs | Persistence pairs via sparse boundary reduction (for large filtrations) |
| plot_landscape | Plot a Persistence Landscape |
| plot_matching | Plot the optimal matching between two persistence diagrams |
| plot_persistence | Plot Persistence Diagram |
| restrict_filtration | Restrict a filtration list to simplices up to a given dimension |
| VietorisRipsComplex | Construct a Vietoris–Rips Complex (1-skeleton + maximal simplices) |
| wasserstein_distance | Wasserstein distance between two persistence diagrams |
| WitnessComplex | Construct a Witness Complex |