1302.6221 (Thierry Sousbie)

DisPerSE: robust structure identification in 2D and 3D    [PDF]

Thierry Sousbie

We present the DIScrete PERsistent Structures Extractor (DisPerSE), an open source software for the automatic and robust identification of structures in 2D and 3D noisy data sets. The software is designed to identify all sorts of topological structures, such as voids, peaks, sources, walls and filaments through segmentation, with a special emphasis put on the later ones. Based on discrete Morse theory, DisPerSE is able to deal directly with noisy datasets using the concept of persistence (a measure of the robustness of topological features) and can be applied indifferently to various sorts of data-sets defined over a possibly bounded manifold : 2D and 3D images, structured and unstructured grids, discrete point samples via the delaunay tesselation, Healpix tesselations of the sphere, ... Although it was initially developed with cosmology in mind, various I/O formats have been implemented and the current version is quite versatile. It should therefore be useful for any application where a robust structure identification is required as well as for studying the topology of sampled functions (e.g. computing persistent Betti numbers). DisPerSE can be downloaded directly from the website http://www2.iap.fr/users/sousbie/ and a thorough online documentation is also available at the same address.

View original: http://arxiv.org/abs/1302.6221