Sequential operations in digital picture processing, Journal of the Association for Computer Machinery, vol.13, issue.4, pp.471-494, 1966. ,
Graphical data processing research study and experimental investigation, 1967. ,
Connectivity in Digital Pictures, Journal of the ACM, vol.17, issue.1, pp.146-160, 1970. ,
DOI : 10.1145/321556.321570
A digital fundamental group, Computers & Graphics, vol.13, issue.2, pp.159-166, 1989. ,
DOI : 10.1016/0097-8493(89)90058-7
Digital Topology, Graphics and Image Processing, vol.48, issue.3, pp.357-393, 1989. ,
DOI : 10.1007/978-1-4615-1529-6_3
Computer graphics and connected topologies on finite ordered sets, Topology and its Applications, vol.36, issue.1, pp.1-17, 1990. ,
DOI : 10.1016/0166-8641(90)90031-V
URL : http://doi.org/10.1016/0166-8641(90)90031-v
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
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.89.8674
New Notions for Discrete Topology, Lecture Notes in Computer Science, vol.1568, pp.218-228, 1999. ,
DOI : 10.1007/3-540-49126-0_17
URL : https://hal.archives-ouvertes.fr/hal-00621992
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
A Boolean characterization of three-dimensional simple points, Pattern Recognition Letters, vol.17, issue.2, pp.115-124, 1996. ,
DOI : 10.1016/0167-8655(95)00100-X
URL : https://hal.archives-ouvertes.fr/hal-00621994
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-00338928
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
Cellular complexes: a tool for 3d homotopic segmentation in brain images, Proceedings 1998 International Conference on Image Processing. ICIP98 (Cat. No.98CB36269), pp.832-836, 1998. ,
DOI : 10.1109/ICIP.1998.727383
Segmentation du néo-cortex cérébral depuis des données IRM dans le cadre de la topologie des ordres, Reconnaissance de Formes et Intelligence Artificielle -RFIA 2002, pp.809-818, 2002. ,
Two-Dimensional Parallel Thinning Algorithms Based on Critical Kernels, Journal of Mathematical Imaging and Vision, vol.13, issue.2, pp.35-56, 2008. ,
DOI : 10.1007/s10851-007-0063-0
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.393.2685
A topology preserving level set method for geometric deformable models, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.25, issue.6, pp.755-768, 2003. ,
Topology-preserving Geometric Deformable Model on Adaptive Quadtree Grid, 2007 IEEE Conference on Computer Vision and Pattern Recognition, pp.1-8, 2007. ,
DOI : 10.1109/CVPR.2007.383335
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.323.6678
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
Liver Blood Vessels Extraction by a 3-D Topological Approach, Lecture Notes in Computer Science, vol.1679, pp.98-105, 1999. ,
DOI : 10.1007/10704282_11
A three-dimensional holes closing algorithm, Pattern Recognition Letters, vol.23, issue.5, pp.523-531, 2002. ,
DOI : 10.1016/S0167-8655(01)00152-0
URL : https://hal.archives-ouvertes.fr/hal-00621973
Using Multimodal MR Data for Segmentation and Topology Recovery of the Cerebral Superficial Venous Tree, International Symposium on Visual Computing -ISVC 2005, pp.60-67, 2005. ,
DOI : 10.1007/11595755_8
Topologypreserving warping of binary images according to one-to-one mappings, IEEE Transactions on Image Processing ,
A theory of binary digital pictures, Computer Vision, Graphics, and Image Processing, vol.32, issue.2, pp.221-243, 1985. ,
DOI : 10.1016/S0734-189X(85)80070-0
Digital lighting functions, Lecture Notes in Computer Science, vol.1347, pp.139-150, 1997. ,
DOI : 10.1007/BFb0024836
Topology-preserving deletion of 1's from 2-, 3- and 4-dimensional binary images, Lecture Notes in Computer Science, vol.1347, pp.3-18, 1997. ,
DOI : 10.1007/BFb0024826
A Model for Digital Topology, Lecture Notes in Computer Science, vol.1568, pp.229-241, 1999. ,
DOI : 10.1007/3-540-49126-0_18
URL : https://hal.archives-ouvertes.fr/hal-00622003
Homotopy in Digital Spaces, Lecture Notes in Computer Science, vol.1953, pp.3-14, 2000. ,
DOI : 10.1007/3-540-44438-6_1
Lattices and Ordered Algebraic Structures, 2005. ,
DOI : 10.1112/jlms/s1-39.1.427
URL : http://jlms.oxfordjournals.org/cgi/content/short/s1-39/1/427
A Concise Course in Algebraic Topology, 1999. ,
Algebraic Topology, 2002. ,
An introduction to simple sets, Pattern Recognition Letters, vol.30, issue.15, pp.1366-1377, 2009. ,
DOI : 10.1016/j.patrec.2009.07.008
Ronse, Paths, homotopy and reduction in digital images, 2010. ,
Multi-object deformable templates dedicated to the segmentation of brain deep structures, International Conference on Medical Image Computing and Computer Assisted Intervention - MICCAI 1998, 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
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
3D Well-Composed Pictures, Graphical Models and Image Processing, vol.59, issue.3, pp.164-172, 1997. ,
DOI : 10.1006/gmip.1997.0422
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.304.9284
A novel level set framework for the segmentation of medical images under topology control, ICCV Workshop on Computer Vision for Biomedical Image Applications, pp.135-145, 2005. ,
Digital Homeomorphisms in Deformable Registration, Lecture Notes in Computer Science, vol.4584, pp.211-222, 2007. ,
DOI : 10.1007/978-3-540-73273-0_18
Topological Repairing of 3D Digital Images, Journal of Mathematical Imaging and Vision, vol.17, issue.3, pp.249-274, 2008. ,
DOI : 10.1007/s10851-007-0054-1
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.110.8479
Topological model for 3D image representation: Definition and incremental extraction algorithm, Computer Vision and Image Understanding, vol.109, issue.3, pp.260-289, 2008. ,
DOI : 10.1016/j.cviu.2007.09.007
URL : https://hal.archives-ouvertes.fr/hal-00257372
Multi-Label Simple Points Definition for 3D??Images Digital Deformable Model, Lecture Notes in Computer Science, vol.50, issue.3, pp.218-229, 2009. ,
DOI : 10.1023/A:1020874308076
URL : https://hal.archives-ouvertes.fr/hal-00413691