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+.. figure::
+    https://gudhi.inria.fr/images/gudhi_architecture.png
+    :figclass: align-center
+    :width: 100 %
+    :alt: GUDHI
+
+Introduction
+============
+
+The Gudhi library is an open source library for Computational Topology and
+Topological Data Analysis (TDA). It offers state-of-the-art algorithms
+to construct various types of simplicial complexes, data structures to
+represent them, and algorithms to compute geometric approximations of shapes
+and persistent homology.
+
+The GUDHI library offers the following interoperable modules:
+
+* Complexes:
+   * Cubical
+   * Simplicial: Rips, Witness, Alpha and Čech complexes
+   * Cover: Nerve and Graph induced complexes
+* Data structures and basic operations:
+   * Simplex tree, Skeleton blockers and Toplex map
+   * Construction, update, filtration and simplification
+* Topological descriptors computation
+* Manifold reconstruction
+* Topological descriptors tools:
+   * Bottleneck distance
+   * Statistical tools
+   * Persistence diagram and barcode
+
+For more information about Topological Data Analysis and its workflow, please
+refer to the `Wikipedia TDA dedicated page <https://en.wikipedia.org/wiki/Topological_data_analysis>`_.