T. K. Dey, H. Edelsbrunner, and S. Guha, Advances in Discrete and Computational Geometry, pp.109-143, 1999.

M. W. Bern, D. Eppstein, P. K. Agarwal, N. Amenta, L. P. Chew et al.,

G. Carlsson, Topology and data, Bulletin of the American Mathematical Society, vol.46, issue.2, pp.255-308, 1999.

H. Edelsbrunner and J. Harer, Computational Topology-an Introduction, 2010.

D. Günther, J. Reininghaus, H. Wagner, and I. Hotz, Efficient computation of 3D

. Morse-smale, complexes and persistent homology using discrete Morse theory, The Visual Computer, vol.28, issue.10, pp.959-969, 2012.

V. Robins, P. Wood, and A. Sheppard, 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.

G. Damiand and R. Gonzalez-diaz, Parallel homology computation of meshes, in: Computational Topology in Image Context-6th International Workshop, pp.53-64, 2016.

P. Lienhardt, N-Dimensional generalized combinatorial maps and cellular quasimanifolds, Inte. J. of Computational Geometry and Applications, vol.4, issue.3, pp.275-324, 1994.

G. Damiand and P. Lienhardt, Combinatorial Maps: Efficient Data Structures for Computer Graphics and Image Processing, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01090890

G. Damiand, S. Peltier, and L. Fuchs, 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

A. Hatcher, Algebraic topology, 2002.

R. Gonzalez-diaz and P. , On the cohomology of 3d digital images, Discrete Applied Mathematics, vol.147, issue.2-3, pp.245-263, 2005.

R. Gonzalez-diaz, A. Ion, M. Jimenez, and R. Poyatos, Incremental-decremental algorithm for computing at-models and persistent homology, Computer Analysis of Images and Patterns-14th International Conference, pp.286-293, 2011.

G. Damiand, Combinatorial maps, CGAL User and Reference Manual, 3.9 Edition, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00457234

G. Damiand, CGAL User and Reference Manual, 2012.

G. Damiand, R. Gonzalez-diaz, and S. Peltier, 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

G. Damiand, R. Gonzalez-diaz, and S. Peltier, Removal and contraction operations in nD generalized maps for efficient homology computation