Effective homology, a survey, Papers/Survey.pdf, issue.11, 1992. ,
Available: http://www.emis.ams.org/journals/SLC/wpapers/s48forman.pdf Fig. 11 Up: a DGVF over the Dunce hat with three critical cells in blue. Down: the perfect DVF given by the correction step. The only one critical cell is 1. The two cycles in the graph are displayed in purple. [3] H. Molina-Abril and P. Real, " Homological spanning forest framework for 2d image analysis, Seminaire Lotharingin de Combinatoire Annals of Mathematics and Artificial Intelligence, vol.48, issue.64 4, pp.48-385, 2002. ,
Elements of algebraic topology, 1984. ,
Algebraic topology, 2002. ,
Simplicialization of digital volumes in 26-adjacency: Application to topological analysis, Pattern Recognition and Image Analysis, vol.19, issue.2, pp.231-238, 2009. ,
DOI : 10.1134/S1054661809020035
URL : https://hal.archives-ouvertes.fr/hal-01341031
Cell AT-Models for Digital Volumes, Lecture Notes in Computer Science, vol.41, issue.3, pp.314-323, 2009. ,
DOI : 10.1016/j.comgeo.2008.02.003
URL : http://hdl.handle.net/11441/31749
Probabilistic computation of the Smith normal form of a sparse integer matrix, Lecture Notes in Computer Science, vol.1122, pp.173-186, 1996. ,
DOI : 10.1007/3-540-61581-4_53
Computing Simplicial Homology Based on Efficient Smith Normal Form Algorithms, Algebra, Geometry and Software Systems, pp.177-206, 2003. ,
DOI : 10.1007/978-3-662-05148-1_10
Homology computation by reduction of chain complexes, Computers & Mathematics with Applications, vol.35, issue.4, pp.59-70, 1998. ,
DOI : 10.1016/S0898-1221(97)00289-7
Directly computing the generators of image homology using graph pyramids, Image and Vision Computing, vol.27, issue.7, pp.846-853, 2009. ,
DOI : 10.1016/j.imavis.2008.06.009
URL : https://hal.archives-ouvertes.fr/hal-00366086
An incremental algorithm for Betti numbers of simplicial complexes on the 3-sphere, Computer Aided Geometric Design, vol.12, issue.7, pp.771-784, 1995. ,
DOI : 10.1016/0167-8396(95)00016-Y
Computing Persistent Homology, Discrete & Computational Geometry, vol.33, issue.2, pp.249-274, 2005. ,
DOI : 10.1007/s00454-004-1146-y
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.10.5064
An iterative algorithm for homology computation on simplicial shapes, Computer-Aided Design, vol.43, issue.11, pp.1457-1467, 2011. ,
DOI : 10.1016/j.cad.2011.08.015
URL : https://hal.archives-ouvertes.fr/hal-00644410
Toward Optimality in Discrete Morse Theory, Experimental Mathematics, vol.12, issue.3, pp.271-28552321, 2003. ,
DOI : 10.2307/1969769
Discrete Morse Functions from Fourier Transforms, Experimental Mathematics, vol.18, issue.1, pp.45-54, 2009. ,
DOI : 10.1080/10586458.2009.10128886
Homological optimality in Discrete Morse Theory through chain homotopies, Topology in Image Context, pp.1501-1506, 2012. ,
DOI : 10.1016/j.patrec.2012.01.014
Computing homology and persistent homology using iterated morse decomposition, pp.1-311429, 1210. ,
Perfect discrete Morse functions on 2-complexes, Pattern Recognition Letters, vol.33, issue.11, pp.1495-1500, 2012. ,
DOI : 10.1016/j.patrec.2011.08.011
URL : http://hdl.handle.net/11441/26183