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.
To use it you have to download source code,
unpack it to a directory of your choice, go to the make subfolder
command for Linux environment or
make target=win all
for MS Windows environment. This compiles the package. The executable is then
in bin subfolder.
The usage is
where filename denotes the name of a file containing a cubical filtration
in the following format:
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