, , 1999.
Strong Collapse for Persistence, 26th Annual European Symposium on Algorithms, vol.67, pp.1-67, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01886165
Approximating persistent homology in euclidean space through collapses, Communication and Computing, vol.26, pp.73-101, 2015. ,
Topology and data, Bulletin of the American Mathematical Society, vol.46, pp.255-308, 1999. ,
The Structure and Stability of Persistence Modules, Briefs in Mathematics, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01107617
Stability of persistence diagrams, Discrete & Computational Geometry, vol.37, pp.103-120, 2007. ,
Combinatorial maps, CGAL User and Reference Manual. 3.9, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00457234
Parallel homology computation of meshes, Proc. of 6th Workshop on Computational Topology in Image Context, pp.53-64, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01381976
Persistent homology computation using combinatorial map simplification, Proc. of 7th International Workshop on Computational Topology in Image Context (CTIC), pp.26-39, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-02002963
Removal operations in nD generalized maps for efficient homology computation, Proc. of 4th Int. Workshop on Computational Topology in Image Context, pp.20-29, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00727452
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, Proc. of 2nd Int. Symposium on Visual Computing, pp.235-244, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00366105
Computational topology, Advances in Discrete and Computational Geometry, pp.109-143, 1999. ,
Filtration simplification for persistent homology via edge contraction, 2018. ,
Computational Topologyan Introduction, 2010. ,
Incremental-decremental algorithm for computing AT-models and persistent homology, Proc. of International Conference Computer Analysis of Images and Patterns, pp.286-293, 2011. ,
On the cohomology of 3d digital images, Discrete Applied Mathematics, vol.147, pp.245-263, 2005. ,
Efficient computation of 3D Morse-Smale complexes and persistent homology using discrete Morse theory, The Visual Computer, vol.28, pp.959-969, 2012. ,
Algebraic topology, 2002. ,
N-Dimensional generalized combinatorial maps and cellular quasi-manifolds, Inte. J. of Computational Geometry and Applications, vol.4, pp.275-324, 1994. ,
Theory and algorithms for constructing discrete morse complexes from grayscale digital images, IEEE Trans. Pattern Anal. Mach. Intell, vol.33, pp.1646-1658, 2011. ,