author Dmitriy Morozov <>
Thu, 09 Jul 2009 02:42:47 -0700
changeset 138 96030f8d2f2c
parent 134 c270826fd4a8
child 139 656ec2838fb8
permissions -rw-r--r--
Rips pairwise cohomology produces output necessary for 1-cocycle parametrization

Welcome to Dionysus' documentation!

Dionysus is a C++ library for computing persistent homology. It provides
implementations of the following algorithms:

* Persistent homology computation [ELZ02]_ [ZC05]_
* Vineyards [CEM06]_    |cpp-only|
* Persistent cohomology computation (described in [dSVJ09]_)    |cpp-only|
* Zigzag persistent homology [CdSM09]_
* :ref:`examples` provide useful functionality in and of themselves:
  * :ref:`Alpha shape construction <alpha-shape-example>` in 2D and 3D
  * :ref:`Rips complex construction <rips-example>`
  * Cech complex construction       |cpp-only|

.. todo:: 
   Document more examples.

The C++ API is currently very poorly documented. One's best source for its
documentation is its usage in various :ref:`examples` (located in

The :ref:`Python bindings <python-bindings>` provide both a simple interface to
the low-level C++ functionality as well as high-level auxilliary routines. Their
"thinness" is meant to provide the efficiency benefits of C++ together with the
simplicity, elegance, and interactivity of Python. Since they mimick the C++
functionality, their documentation may be a helpful resource for the latter.


.. toctree::
   :maxdepth: 1


.. include::    substitutions.aux

    Indices and tables

    * :ref:`genindex`
    * :ref:`modindex`
    * :ref:`search`