A library for exploring persistent homology
Here’s a list of examples that are present and documented in Aleph. Each example comes with a link that leads directly to the corresponding source file, as well as a brief description. A good start for an absolute novice would be the Vietoris–Rips calculation example.
| Name | Description |
|---|---|
| create_persistence_diagrams | Creating random persistence diagrams in numerous ways |
| create_random_graph | Creating a random graph and storing it as a GML file |
| network_analysis | Analysing the persistent homology of a weighted network (a graph) |
| ply | Calculating persistent homology of meshes in ASCII PLY format with different filtrations; includes statistical information about persistence diagrams |
| vietoris_rips | Calculating a Vietoris–Rips complex of point clouds |
| vietoris_rips_eccentricity | Calculating a Vietoris–Rips complex of point clouds using an eccentricity data descriptor |
| vtk | Calculating persistent homology of structured grids in VTK legacy format |
| witness_complex | Calculating a witness complex of point cloud data |
To build the examples, please follow the instructions on how to build
Aleph. Examples will automatically be built and placed in
the examples subfolder of the build directory.