Cubical Persistet Homology

Cubical Persistet Homology via coreductions and inclusion maps

cubPers is my implementation of the Coreduction Homology Algorithm for persistence via inclusion maps for filtrations of full cubical sets in dimensions 2 and 3. The algorithm is also available as a part of the CAPD software library.

Download

To use it you have to download source code, unpack it to a directory of your choice, go to the make subfolder and issue

   make all

command for Linux environment or

   make target=win all

for MS Windows environment. This compiles the package. The executable is then in bin subfolder.

Usage

The usage is

    cubPersMDZ2  filename

where filename denotes the name of a file containing a cubical filtration in the following format:

  dim
  size1
  size2
  [size3]
  v1
  v2
  ...
  vn

Here dim in the first line of the file stands for the dimension, which must be 2 or 3. The next lines contain size1, size2 (and size3 when dim-3), i.e. the sizes of the big cube enclosing the filtration. This is followed by size1*size2[*size3] lines, each containing the level of the particular cube on which it joins the filtration.
(c) Marian Mrozek, Kraków, 2010