, Advances in Discrete and Computational Geometry, pp.109-143, 1999.
,
Topology and data, Bulletin of the American Mathematical Society, vol.46, issue.2, pp.255-308, 1999. ,
Computational Topology-an Introduction, 2010. ,
Efficient computation of 3D ,
complexes and persistent homology using discrete Morse theory, The Visual Computer, vol.28, issue.10, pp.959-969, 2012. ,
Theory and algorithms for constructing discrete morse complexes from grayscale digital images, IEEE Trans. Pattern Anal. Mach. Intell, vol.33, issue.8, pp.1646-1658, 2011. ,
Parallel homology computation of meshes, in: Computational Topology in Image Context-6th International Workshop, pp.53-64, 2016. ,
N-Dimensional generalized combinatorial maps and cellular quasimanifolds, Inte. J. of Computational Geometry and Applications, vol.4, issue.3, pp.275-324, 1994. ,
Combinatorial Maps: Efficient Data Structures for Computer Graphics and Image Processing, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01090890
Computing homology for surfaces with generalized maps: Application to 3d images, Advances in Visual Computing, Second International Symposium, pp.235-244, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00366105
, Algebraic topology, 2002.
On the cohomology of 3d digital images, Discrete Applied Mathematics, vol.147, issue.2-3, pp.245-263, 2005. ,
Incremental-decremental algorithm for computing at-models and persistent homology, Computer Analysis of Images and Patterns-14th International Conference, pp.286-293, 2011. ,
Combinatorial maps, CGAL User and Reference Manual, 3.9 Edition, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00457234
, CGAL User and Reference Manual, 2012.
Removal operations in nD generalized maps for efficient homology computation, Proc. of 4th Int. Workshop on Computational Topology in Image Context (CTIC), vol.7309, pp.20-29, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00727452
Removal and contraction operations in nD generalized maps for efficient homology computation ,