jmaerte / persistent-homology

A calculator for persistent homology over the binary field. It is able to handle different pre-implemented types of filtrations like Čech, Vietoris or Witness filtrations from which some suffice theoretical claims making them usable for topological analysis of spaces using homology.

Persistent Homology of Metric Point Sets

For further information visit the github pages project page.

This project is licensed under the terms of the MIT license.

Build

This Project partially depends on Processing and PeasyCam. Therefore if you want to build this project I advice you to import it in the IDE of your choice and include the following libraries into your build path.

• Processing:

  • core.jar
  • gluegen-rt.jar
  • jogl-all.jar

• PeasyCam:

  • peasy-math.jar
  • peasycam.jar

If you just want to use it, you can download the repository as zip file on the project page.

Output

As stated above the output is sometimes rendered using Processing and PeasyCam. In the other cases the program produces R code that can be executed using the ggplot2-package.

Literature

Zomorodian, Afra. (2005). Topology for Computing (Cambridge Monographs on Applied and Computational Mathematics). Cambridge: Cambridge University Press.

Edelsbrunner, Herbert; Harer, John. (2010). Computational Topology. Providence, USA: American Mathematical Society.