Thinning algorithms: A critique and a new methodology, Pattern Recognition, vol.14, issue.1-6, pp.1-6, 1981. ,
DOI : 10.1016/0031-3203(81)90045-5
Digital topology: Introduction and survey, Computer Vision, Graphics, and Image Processing, vol.48, issue.3, pp.357-393, 1989. ,
DOI : 10.1016/0734-189X(89)90147-3
Connectivity in Digital Pictures, Journal of the ACM, vol.17, issue.1, pp.146-160, 1970. ,
DOI : 10.1145/321556.321570
A new characterization of three-dimensional simple points, Pattern Recognition Letters, vol.15, issue.2, pp.169-175, 1994. ,
DOI : 10.1016/0167-8655(94)90046-9
URL : https://hal.archives-ouvertes.fr/inria-00615050
Topology-preserving deletion of 1's from 2-, 3- and 4-dimensional binary images, Discrete Geometry for Computer Imagery -DGCI'97, 7th International Workshop, Proceedings, Lecture Notes in Computer Science, pp.3-18, 1997. ,
DOI : 10.1007/BFb0024826
A concise characterization of 3D simple points, Discrete Applied Mathematics, vol.125, issue.1, pp.59-80, 2003. ,
DOI : 10.1016/S0166-218X(02)00224-X
URL : https://hal.archives-ouvertes.fr/hal-00338942
New Characterizations of Simple Points in 2D, 3D, and 4D Discrete Spaces, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.31, issue.4, pp.637-648, 2009. ,
DOI : 10.1109/TPAMI.2008.117
URL : https://hal.archives-ouvertes.fr/hal-00622393
On P-simple points Comptes Rendus de l'Académie des Sciences, Série Mathématiques, vol.1, issue.321, pp.1077-1084, 1995. ,
On Topology Preservation in 3D Thinning, Computer Vision and Image Understanding, vol.59, issue.3, pp.328-339, 1994. ,
DOI : 10.1006/cviu.1994.1027
ON TOPOLOGY PRESERVATION IN 2-D AND 3-D THINNING, International Journal of Pattern Recognition and Artificial Intelligence, vol.09, issue.05, pp.813-844, 1995. ,
DOI : 10.1142/S0218001495000341
A topological characterization of thinning, Theoretical Computer Science, vol.43, issue.1, pp.31-41, 1986. ,
DOI : 10.1016/0304-3975(86)90164-7
Problems in the topology of binary digital images Open Problems in Topology, pp.377-385, 1990. ,
Minimal Simple Pairs in the 3-D Cubic Grid, Journal of Mathematical Imaging and Vision, vol.17, issue.1, pp.239-249, 2008. ,
DOI : 10.1145/321556.321570
URL : https://hal.archives-ouvertes.fr/hal-00622368
An introduction to simple sets, Université Strasbourg, 2008. ,
DOI : 10.1016/j.patrec.2009.07.008
URL : https://hal.archives-ouvertes.fr/hal-01694415
Topological Properties of Thinning in 2-D Pseudomanifolds, Journal of Mathematical Imaging and Vision, vol.62, issue.5, 2008. ,
DOI : 10.1016/j.crma.2007.09.001
URL : https://hal.archives-ouvertes.fr/hal-00622471
Finite topology as applied to image analysis, Computer Vision, Graphics, and Image Processing, vol.46, issue.2, pp.141-161, 1989. ,
DOI : 10.1016/0734-189X(89)90165-5
On critical kernels Comptes Rendus de l'Académie des Sciences, Série Mathématiques, vol.1, issue.345, pp.363-367, 2007. ,
On the dunce hat, Topology, vol.2, issue.4, pp.341-358, 1964. ,
DOI : 10.1016/0040-9383(63)90014-4
Some aspects of the topology of 3-manifolds related to the Poincaré conjecture. Lectures on Modern Mathematics II pp, pp.93-128, 1964. ,
On the cohomology of 3D digital images, Discrete Applied Mathematics, vol.147, issue.2-3, pp.245-263, 2005. ,
DOI : 10.1016/j.dam.2004.09.014
Computation of homology groups and generators, Computers & Graphics, vol.30, issue.1, pp.62-69, 2006. ,
DOI : 10.1016/j.cag.2005.10.011
URL : https://hal.archives-ouvertes.fr/hal-00308012
Homology algorithm based on acyclic subspace, Computers & Mathematics with Applications, vol.55, issue.11, pp.2395-2412, 2008. ,
DOI : 10.1016/j.camwa.2007.08.044
URL : https://doi.org/10.1016/j.camwa.2007.08.044