G. Bertrand, I. Debled-rennesson, E. Domenjoud, B. Kerautret, and P. Even, Completions and Simplicial Complexes, DGCI 2011, pp.129-140, 2011.
DOI : 10.1007/978-3-642-19867-0_11

URL : https://hal.archives-ouvertes.fr/hal-00834218

J. Cousty and G. Bertrand, Uniqueness of the Perfect Fusion Grid on????? d, Journal of Mathematical Imaging and Vision, vol.36, issue.1???3, pp.291-306, 2009.
DOI : 10.1007/s10851-009-0147-0

URL : https://hal.archives-ouvertes.fr/hal-00511818

J. Cousty, G. Bertrand, M. Couprie, and L. Najman, Collapses and Watersheds in Pseudomanifolds of Arbitrary Dimension, Journal of Mathematical Imaging and Vision, vol.2, issue.1, pp.261-285, 2014.
DOI : 10.1007/s10851-014-0498-z

URL : https://hal.archives-ouvertes.fr/hal-00871498

J. Cousty, L. Najman, and J. Serra, Some Morphological Operators in Graph Spaces, Proceedings, pp.149-160, 2009.
DOI : 10.1016/j.patrec.2008.03.019

URL : https://hal.archives-ouvertes.fr/hal-00622403

E. S. Fedorov, A Course in Crystallography, In Russian). R. K. Rikker, Saint-Petersburg, 1901.

M. Heijmans, Morphological Image Operators, 1994.

E. Khalimsky, Topological structures in computer science, Journal of Applied Mathematics and Simulation, vol.1, issue.1, pp.25-40, 1987.
DOI : 10.1155/S1048953388000036

B. R. Kiran and J. Serra, Fusion of ground truths and hierarchies of segmentations, Pattern Recognition Letters, vol.47, pp.63-71, 2014.
DOI : 10.1016/j.patrec.2014.04.019

B. R. Kiran, Energetic-Lattice based optimization, 2014.
URL : https://hal.archives-ouvertes.fr/tel-01126842

C. O. Kiselman, Digital geometry and mathematical morphology, Lecture Notes Departement of Mathematics, 2002.

V. A. Kovalevsky, Finite topology as applied to image analysis. Computer vision, graphics, and image processing, pp.141-161, 1989.

E. Kronheimer, The topology of digital images, Topology and its Applications, vol.46, issue.3, pp.279-303, 1992.
DOI : 10.1016/0166-8641(92)90019-V

L. Latecki, U. Eckhardt, and A. Rosenfeld, Well-Composed Sets, Computer Vision and Image Understanding, vol.61, issue.1, pp.70-83, 1995.
DOI : 10.1006/cviu.1995.1006

G. Matheron, Random Sets and Integral Geometry, 1975.

G. Matheron, Eléments pour une théorie des milieux poreux, 1967.

L. Mazo, N. Passat, M. Couprie, and C. Ronse, Paths, Homotopy and Reduction in Digital Images, Acta Applicandae Mathematicae, vol.55, issue.1, pp.167-193, 2011.
DOI : 10.1007/s10440-010-9591-5

URL : https://hal.archives-ouvertes.fr/hal-00622495

E. Melin, Digital Surfaces and Boundaries in Khalimsky Spaces, Journal of Mathematical Imaging and Vision, vol.77, issue.3, pp.169-177, 2007.
DOI : 10.1007/s10851-007-0006-9

L. Najman and M. Schmitt, Geodesic saliency of watershed contours and hierarchical segmentation. PAMI, IEEE Transactions on, vol.18, issue.12, pp.1163-1173, 1996.
URL : https://hal.archives-ouvertes.fr/hal-00622128

C. Ronse, Regular open or closed sets. Working Document WD59, Philips Research Lab, 1990.

A. Rosenfeld, Digital Topology, The American Mathematical Monthly, vol.86, issue.8, pp.621-630, 1979.
DOI : 10.2307/2321290

J. Serra, Cube, cube-octahedron or rhombododecahedron as bases for 3-d shape descriptions Advances in Visual Form Analysis, pp.502-519, 1997.

J. Serra, Image Analysis and Mathematical Morphology, 1983.