A persistent homology library and its command line interface.
This crate provides
- Simplicial complex
- Column reduction algorithm
- Persistence pairing algorithm
First, if you not have Rust environment, you get it from https://rustup.rs/ and install it.
Then you clone this repository with git clone https://github.com/ShotaroTsuji/teia and build it with cargo build --release.
The CLI program has two subcommands: homology and persistence.
The program can be launched with cargo run -- homology <INPUT> in the repository directory.
homology: computes the generators of the homology groups of the given complex.persistence: computes the persistent homology groups of the given complex.
- Simplicial complex (text file) : A simplex is represented as numbers separated with whitespace. Each simplex is written in each line.
There is the example files examples/torus.txt and examples/cube.txt.
- Construction of the filtration from given filtration values.
- Persistent cohomology algorithm.
- Lower-star complex.
- Vietoris-Rips complex.
Licensed under either of
- Apache License, Version 2.0 (LICENSE-APACHE or http://www.apache.org/licenses/LICENSE-2.0)
- MIT license (LICENSE-MIT or http://opensource.org/licenses/MIT)
at your option.
Unless you explicitly state otherwise, any contribution intentionally submitted for inclusion in the work by you, as defined in the Apache-2.0 license, shall be dual licensed as above, without any additional terms or conditions.