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+.. GUDHI documentation master file, created by
+   sphinx-quickstart on Thu Jun 30 09:55:51 2016.
+   You can adapt this file completely to your liking, but it should at least
+   contain the root `toctree` directive.
+
+GUDHI's documentation
+#####################
+
+.. image:: img/Gudhi_banner.png
+   :align: center
+
+Introduction
+************
+
+The Gudhi library (Geometry Understanding in Higher Dimensions) is a generic
+open source C++ library for Computational Topology and Topological Data
+Analysis (`TDA <https://en.wikipedia.org/wiki/Topological_data_analysis>`_).
+The GUDHI library intends to help the development of new algorithmic solutions
+in TDA and their transfer to applications. It provides robust, efficient,
+flexible and easy to use implementations of state-of-the-art algorithms and
+data structures.
+
+The current release of the GUDHI library includes:
+
+* Data structures to represent, construct and manipulate simplicial complexes.
+* Algorithms to compute persistent homology and multi-field persistent homology.
+* Simplication of simplicial complexes by edge contraction.
+
+All data-structures are generic and several of their aspects can be
+parameterized via template classes. We refer to :cite:`gudhilibrary_ICMS14`
+for a detailed description of the design of the library.
+
+Data structures
+***************
+
+Alpha complex
+=============
+
+.. include:: alpha_complex_sum.rst
+
+Cubical complex
+===============
+
+.. include:: cubical_complex_sum.rst
+
+Simplex tree
+============
+
+.. include:: simplex_tree_sum.rst
+
+Witness complex
+===============
+
+.. include:: witness_complex_sum.rst
+
+
+Toolbox
+*******
+
+Persistence cohomology
+======================
+
+.. include:: persistent_cohomology_sum.rst