AlphaComplex            Construct an Alpha Complex
CechComplex             Construct a Cech Complex
DelaunayComplex         Construct a Delaunay Complex
VietorisRipsComplex     Construct a Vietoris–Rips Complex (1-skeleton +
                        maximal simplices)
WitnessComplex          Construct a Witness 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
collect_g               Collect 1-unstable manifolds into a
                        reconstructed graph
compare_complexes       Compare simplicial complex constructions on one
                        point cloud
complex_distance        Wasserstein/bottleneck distance between two
                        point clouds, via one chosen complex
crocker                 Compute a CROCKER matrix for a time-varying
                        point cloud
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
gauss_jordan_eliminate
                        Row-reduce (partial pivoting) a matrix
generate_landmarks      Farthest-Point Sampling of landmarks
graph_laplacian         Basic graph Laplacian L = D - A
hodge_laplacian         Ordinary Hodge Laplacian
homology                Compute a homology basis from a cycle basis and
                        a boundary basis
im                      Compute a basis for the image (column space) of
                        a matrix
ker                     Compute a basis for the kernel (null space) of
                        a matrix
lower_star_filtration   Generalizes 'build_cubical_filtration' to any
                        triangulation: given the maximal simplices of a
                        simplicial complex and a function defined at
                        its vertices, builds the simplex-wise
                        lower-star filtration \mathcal{F}_f.
morse_recon             Reconstruct a hidden graph from a density field
partial_pers_dmvf       Persistence-guided discrete Morse vector field
                        on a graph (1-complex)
persistence_landscape   Compute the persistence landscape of a
                        persistence diagram
persistence_pairs       Persistence pairs via sparse boundary reduction
                        (for large filtrations)
persistent_laplacian    Persistent (combinatorial) Laplacian
plot_crocker            Plot a CROCKER matrix as a filled contour plot
plot_landscape          Plot a Persistence Landscape
plot_matching           Plot the optimal matching between two
                        persistence diagrams
plot_morse_landscape    Plot the density landscape and critical
                        structure in interactive 3D
plot_morse_recon        Plot the graph reconstructed by 'morse_recon'
plot_morse_vpath        Plot a local patch of the triangulation with
                        its discrete gradient field
plot_persistence        Plot Persistence Diagram
restrict_filtration     Restrict a filtration list to simplices up to a
                        given dimension
wasserstein_distance    Wasserstein distance between two persistence
                        diagrams
zigzag_persistence      Compute the persistence barcode of a zigzag
                        filtration of simplicial complexes
