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
On P-simple points. Comptes Rendus de l, Académie des Sciences , Série Math. I, issue.321, pp.1077-1084, 1995. ,
URL : https://hal.archives-ouvertes.fr/hal-00621996
On critical kernels Comptes Rendus de l, Académie des Sciences , Série Math. I, issue.345, pp.363-367, 2007. ,
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
Some aspects of the topology of 3-manifolds related to the Poincaré conjecture, Lectures on Modern Mathematics II, pp.93-128, 1964. ,
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
Discrete bisector function and Euclidean skeleton in 2D and 3D, Image and Vision Computing, vol.25, issue.10, pp.1543-1556, 2007. ,
DOI : 10.1016/j.imavis.2006.06.020
URL : https://hal.archives-ouvertes.fr/hal-00180616
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
Liver Blood Vessels Extraction by a 3-D Topological Approach, Medical Image Computing and Computer-Assisted Intervention -MICCAI'99, 2nd International Conference, Proceedings. Vol. 1679 of Lecture Notes in Computer Science, pp.98-105, 1999. ,
DOI : 10.1007/10704282_11
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
Minimal non-simple sets in 4D binary pictures, Graphical Models, vol.65, pp.1-3, 2003. ,
Graphs, surfaces and homology, 1981. ,
DOI : 10.1017/CBO9780511779534
Problems in the topology of binary digital images Open Problems in Topology, Ch. 23, pp.377-385, 1990. ,
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
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 of Lecture Notes in Computer Science, pp.3-18, 1997. ,
DOI : 10.1007/BFb0024826
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
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
2-D simple sets in n-D cubic grids, Discrete & Computational Geometry, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-01694414
Three-dimensional simple points: serial erosion, parallel thinning, and skeletonization, 1981. ,
Topological monsters in Z 3 : A nonexhaustive bestiary, International Symposium on Mathematical Morphology -ISMM'07, 8th International Symposium, Proceedings, pp.11-12, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-00622180
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
Topology-Preserving Thinning in 2-D Pseudomanifolds, Discrete Geometry for Computer Imagery -DGCI'09, 15th International Conference , Proceedings, 2009. ,
DOI : 10.1145/321556.321570
URL : https://hal.archives-ouvertes.fr/hal-00622408
Using Multimodal MR Data for Segmentation and Topology Recovery of the Cerebral Superficial Venous Tree, International Symposium on Visual Computing -ISVC'05, 1st International Symposium, pp.60-67, 2005. ,
DOI : 10.1007/11595755_8
URL : https://hal.archives-ouvertes.fr/hal-01694970
Minimal test patterns for connectivity preservation in parallel thinning algorithms for binary digital images, Discrete Applied Mathematics, vol.21, issue.1, pp.67-79, 1988. ,
DOI : 10.1016/0166-218X(88)90034-0
Connectivity in Digital Pictures, Journal of the ACM, vol.17, issue.1, pp.146-160, 1970. ,
DOI : 10.1145/321556.321570
-Groups, Proceedings of the London Mathematical Society, pp.2-45, 1938. ,
DOI : 10.1112/plms/s2-45.1.243