Automatic identification of persistent structures in 2D or 3D. keywords: Morse complex, topology, peak, void, source, wall, filament, cosmic web, cosmology, structure identification. 2013-01-24T03:58:22+01:00 thierry sousbie urn:md5:f62b3bf39b9948523836119476648bbf Dotclear urn:md5:29edbf335b4c6ddefb1ccb7dadacd273 3100-05-10T08:30:00+01:00 2012-06-03T17:26:03+02:00 thierry sousbie Contact & References <p>A few references: <br /> <br /> <ins>DisPerSE:</ins> (see therein for references on discrete Morse theory and persistence) <br /> <br /></p> <ul> <li>-Sousbie, T., "The persistent cosmic web and its filamentary structure - I. Theory and implementation", 2011, Monthly Notices of the Royal Astronomical Society, 414, 350</li> </ul> <p><br /></p> <ul> <li>-Sousbie, T., Pichon, C., Kawahara, H., "The persistent cosmic web and its filamentary structure - II. Illustrations", 2011, Monthly Notices of the Royal Astronomical Society, 414, 384</li> </ul> <p><br /> <br /> <ins>Books on persistence and discrete Morse-theory:</ins> <br /> <br /></p> <ul> <li>-Zomorodian A. J., "Topology for computing", 2009, Vol. 16 of Cambridge Monographs on Applied and Computational Mathematics, Cambridge University Press, Cambridge 2, 19, 32</li> </ul> <p><br /></p> <ul> <li>-Edelsbrunner, H. &amp; Harer, J.L., "Computational Topology", 2010</li> </ul> <p><br /></p> <ul> <li>-Gyulassy A., 2009, PhD thesis, Univ. California Berkeley 2, 8, 13</li> </ul> <p><br /></p> <ul> <li>-Forman, R., "A user’s guide to discrete morse theory", 2002</li> </ul> <p><br /> <br /></p> <p>There is also a swarm of scientific articles dealing with these topics that you can find on the net, just google it :)</p> urn:md5:9894066ce7952daeb4012ab3a021e771 3000-05-10T07:52:00+01:00 2012-05-10T07:25:08+02:00 thierry sousbie Contact & References <p>For any question regarding DisPerSE or this website, please contact <strong style="color:blue"> sousbie<em>(AT)</em>iap<em>.</em>fr</strong>.</p>