A grammar for the topological analysis of plane figures, Machine Intelligence, pp.383-393, 1969. ,
A digital fundamental group, Computers & Graphics, vol.13, issue.2, pp.159-166, 1989. ,
DOI : 10.1016/0097-8493(89)90058-7
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
Linear skeletons from square cupboards, Machine Intelligence, pp.403-420, 1969. ,
On P-simple points, Comptes Rendus de l'Académie des Sciences, Série Mathématiques, vol.1, issue.321, pp.1077-1084, 1995. ,
A topological characterization of thinning, Theoretical Computer Science, vol.43, issue.0, pp.31-41, 1986. ,
DOI : 10.1016/0304-3975(86)90164-7
An introduction to simple sets, Pattern Recognition Letters, vol.30, issue.15, pp.1366-1377, 2009. ,
DOI : 10.1016/j.patrec.2009.07.008
URL : https://hal.archives-ouvertes.fr/hal-01694415
From 3D magnetic resonance images to structural representations of the cortex topography using topology preserving deformations, Journal of Mathematical Imaging and Vision, vol.44, issue.6, pp.297-318, 1995. ,
DOI : 10.1007/BF01250286
Topology-Preserving Discrete Deformable Model: Application to Multi-segmentation of Brain MRI, International Conference on Image and Signal Processing -ICISP 2008, pp.67-75, 2008. ,
DOI : 10.1007/978-3-540-69905-7_8
URL : https://hal.archives-ouvertes.fr/hal-01695010
Multi-object deformable templates dedicated to the segmentation of brain deep structures, MICCAI'98: Proceedings of the First International Conference on Medical Image Computing and Computer-Assisted Intervention, pp.1134-1143, 1998. ,
DOI : 10.1109/34.42836
Topology-Preserving Tissue Classification of Magnetic Resonance Brain Images, IEEE Transactions on Medical Imaging, vol.26, issue.4, pp.487-496, 2007. ,
DOI : 10.1109/TMI.2007.893283
Registration of Brain Atlas to MR Images Using Topology Preserving Front Propagation, Journal of Signal Processing Systems, vol.5, issue.3, pp.209-216, 2009. ,
DOI : 10.1007/s11265-008-0185-7
Connectivity in Digital Pictures, Journal of the ACM, vol.17, issue.1, pp.146-160, 1970. ,
DOI : 10.1145/321556.321570
Graphical data processing research study and experimental investigation, 1967. ,
DOI : 10.21236/ad0650926
Fully deformable 3D digital partition model with topological control, Pattern Recognition Letters, vol.32, issue.9, pp.1374-1383, 2011. ,
DOI : 10.1016/j.patrec.2010.09.005
URL : https://hal.archives-ouvertes.fr/hal-00591065
Simple points, topological numbers and geodesic neighborhoods in cubic grids, Pattern Recognition Letters, vol.15, issue.10, pp.1003-1011, 1994. ,
DOI : 10.1016/0167-8655(94)90032-9
URL : https://hal.archives-ouvertes.fr/hal-00621999
Multicolor well-composed pictures, Pattern Recognition Letters, vol.16, issue.4, pp.425-431, 1995. ,
DOI : 10.1016/0167-8655(94)00104-B
Topological Repairing of 3D Digital Images, Journal of Mathematical Imaging and Vision, vol.17, issue.3, pp.249-274, 2008. ,
DOI : 10.1007/978-94-015-9002-0
A cellular model for multi-objects multi-dimensional homotopic deformations, Pattern Recognition, vol.34, issue.9, pp.1785-1798, 2001. ,
DOI : 10.1016/S0031-3203(00)00106-0
Digital Homeomorphisms in Deformable Registration, IPMI, pp.211-222, 2007. ,
DOI : 10.1007/978-3-540-73273-0_18
-Groups, Proceedings of the London Mathematical Society, pp.2-45, 1939. ,
DOI : 10.1112/plms/s2-45.1.243
Digital imaging: A unified topological framework, Journal of Mathematical Imaging and Vision, vol.3, issue.10 11, p.22 ,
DOI : 10.1007/s10851-011-0308-9
URL : https://hal.archives-ouvertes.fr/hal-00728915
Two-Dimensional Parallel Thinning Algorithms Based on Critical Kernels, Journal of Mathematical Imaging and Vision, vol.13, issue.2, pp.35-56, 2008. ,
DOI : 10.1145/321637.321646
URL : http://hal.inria.fr/docs/00/62/20/01/PDF/hal.pdf
Paths, Homotopy and Reduction in Digital Images, Acta Applicandae Mathematicae, vol.55, issue.1, pp.167-193, 2011. ,
DOI : 10.1090/S0002-9904-1949-09213-3
URL : https://hal.archives-ouvertes.fr/hal-00622495
Some aspects of the topology of 3-manifolds related to the Poincaré conjecture, Lectures on Modern Mathematics II, pp.93-128, 1964. ,
On the dunce hat, Topology, vol.2, issue.4, pp.341-358, 1964. ,
DOI : 10.1016/0040-9383(63)90014-4
Combinatorial homotopy. I, Bulletin of the American Mathematical Society, vol.55, issue.3, pp.213-245, 1949. ,
DOI : 10.1090/S0002-9904-1949-09175-9
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
Elements of Algebraic Topology, 1996. ,
A Concise Course in Algebraic Topology, 1999. ,
Algebraic Topology, 2002. ,
Graphs, surfaces and homology, p.5, 2010. ,
DOI : 10.1017/CBO9780511779534
Rings of sets, Duke Mathematical Journal, vol.3, issue.3, pp.443-454, 1937. ,
DOI : 10.1215/S0012-7094-37-00334-X
topological spaces, Duke Mathematical Journal, vol.33, issue.3, pp.465-474, 1966. ,
DOI : 10.1215/S0012-7094-66-03352-7
New Notions for Discrete Topology, DCGI '99: Proceedings of the 8th International Conference on Discrete Geometry for Computer Imagery, pp.218-228, 1999. ,
DOI : 10.1007/3-540-49126-0_17
URL : https://hal.archives-ouvertes.fr/hal-00621992
Finite topological spaces, Transactions of the American Mathematical Society, vol.123, issue.2, pp.325-340, 1966. ,
DOI : 10.1090/S0002-9947-1966-0195042-2
URL : http://www.ams.org/tran/1966-123-02/S0002-9947-1966-0195042-2/S0002-9947-1966-0195042-2.pdf
Simple homotopy types and finite spaces, Advances in Mathematics, vol.218, issue.1, pp.87-104, 2008. ,
DOI : 10.1016/j.aim.2007.11.019
URL : http://arxiv.org/pdf/math/0611158
???regular CW???complexes and collapsibility, Algebraic & Geometric Topology, vol.28, issue.3, pp.1763-1780, 2008. ,
DOI : 10.1016/S0012-365X(99)00049-7
URL : http://msp.org/agt/2008/8-3/agt-v8-n3-p21-s.pdf
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
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
Axiomatic Digital Topology, Journal of Mathematical Imaging and Vision, vol.46, issue.2, pp.41-58, 2006. ,
DOI : 10.1007/s10851-006-7453-6
URL : http://arxiv.org/pdf/1010.0649.pdf
Geometry of Locally Finite Spaces, Publishing House Dr, Baerbel Kovalevski, issue.10, 2008. ,
Geometry of Digital Spaces, 1998. ,
DOI : 10.1007/978-1-4612-4136-2
The topology of digital images, Topology and its Applications, vol.46, issue.3, pp.279-303, 1992. ,
DOI : 10.1016/0166-8641(92)90019-V
Morphology on Label Images: Flat-Type Operators and Connections, Journal of Mathematical Imaging and Vision, vol.299, issue.10, pp.283-307, 2005. ,
DOI : 10.1007/s10851-005-4895-1
Geodesy on label images, and applications to video sequence processing, Journal of Visual Communication and Image Representation, vol.19, issue.6, pp.392-408, 2008. ,
DOI : 10.1016/j.jvcir.2008.04.002
Digital lighting functions, LNCS, vol.1347, pp.139-150, 1997. ,
DOI : 10.1007/BFb0024836
An isomorphism for digital images, Journal of Combinatorial Theory, Series A, vol.39, issue.2, p.13 ,
DOI : 10.1016/0097-3165(85)90034-2
URL : https://doi.org/10.1016/0097-3165(85)90034-2
Topology-preserving deletion of 1's from 2-, 3- and 4-dimensional binary images, DGCI '97: Proceedings of the 7th International Workshop on Discrete Geometry for Computer Imagery, pp.3-18, 1997. ,
DOI : 10.1007/BFb0024826
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
Lattices and Ordered Algebraic Structures, p.22, 2005. ,
DOI : 10.1112/jlms/s1-39.1.427
General Lattice Theory, p.22, 2003. ,