J. Maxwell, On Hills and Dales, Philosophical Magazine, vol.440, pp.421-427, 1870.
DOI : 10.1017/CBO9780511710377.018

H. Digabel and C. Lantuéjoul, Iterative algorithms, 2nd European Symp. Quantitative Analysis of Microstructures in Material Science, pp.85-89, 1978.

L. Vincent and P. Soille, Watersheds in digital spaces: an efficient algorithm based on immersion simulations, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.13, issue.6, pp.583-598, 1991.
DOI : 10.1109/34.87344

G. Bertrand, On Topological Watersheds, Journal of Mathematical Imaging and Vision, vol.34, issue.6, pp.217-230, 2005.
DOI : 10.1007/s10851-005-4891-5

URL : https://hal.archives-ouvertes.fr/hal-00622398

J. Cousty, G. Bertrand, L. Najman, and M. Couprie, Watershed Cuts: Minimum Spanning Forests and the Drop of Water Principle, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.31, issue.8, pp.1362-1374, 2009.
DOI : 10.1109/TPAMI.2008.173

URL : https://hal.archives-ouvertes.fr/hal-00622410

S. Beucher and F. Meyer, The morphological approach to segmentation: the watershed transformation, Mathematical Morphology in Image Processing, pp.443-481, 1993.

T. Kong and A. Rosenfeld, 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

M. Couprie and G. Bertrand, 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

G. Bertrand, J. C. Everat, and M. Couprie, Image segmentation through operators based on topology, Journal of Electronic Imaging, vol.6, issue.4, pp.395-405, 1997.
DOI : 10.1117/12.276856

M. Couprie, F. N. Bezerra, and G. Bertrand, Topological operators for grayscale image processing, Journal of Electronic Imaging, vol.10, issue.4, pp.1003-1015, 2001.
DOI : 10.1117/1.1408316

URL : https://hal.archives-ouvertes.fr/hal-00622474

V. Ranwez and P. Soille, Order independent homotopic thinning for binary and grey tone anchored skeletons, Pattern Recognition Letters, vol.23, issue.6, pp.687-702, 2002.
DOI : 10.1016/S0167-8655(01)00146-5

J. Cousty, G. Bertrand, L. Najman, and M. Couprie, Watershed Cuts: Thinnings, Shortest Path Forests, and Topological Watersheds, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.32, issue.5, 2009.
DOI : 10.1109/TPAMI.2009.71

URL : https://hal.archives-ouvertes.fr/hal-00729346

J. H. Whitehead, -Groups, Proc. London Math. Soc, pp.2-45, 1939.
DOI : 10.1112/plms/s2-45.1.243

URL : https://hal.archives-ouvertes.fr/in2p3-00657474

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

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

G. Bertrand, M. Couprie, J. Cousty, and L. Najman, Chapitre 4 : Ligne de partage des eaux dans les espaces discrets, Morphologie mathématique : approches déterministes, pp.123-149, 2008.

J. Cousty, G. Bertrand, M. Couprie, and L. Najman, Fusion Graphs: Merging Properties and Watersheds, Journal of Mathematical Imaging and Vision, vol.147, issue.2???3, pp.87-104, 2008.
DOI : 10.1007/s10851-007-0047-0

URL : https://hal.archives-ouvertes.fr/hal-00622371

L. Najman and M. Schmitt, Watershed of a continuous function, Signal Processing, vol.38, issue.1, pp.68-86, 1993.
DOI : 10.1016/0165-1684(94)90059-0

URL : https://hal.archives-ouvertes.fr/hal-00622129

B. Chazelle, A minimum spanning tree algorithm with inverse-Ackermann type complexity, Journal of the ACM, vol.47, issue.6, pp.1028-1047, 2000.
DOI : 10.1145/355541.355562

J. B. Roerdink and A. Meijster, The watershed transform: Definitions, algorithms and parallelization strategies, Fundamenta Informaticae, vol.41, issue.12, pp.187-228, 2001.

R. Audigier and R. Lotufo, Uniquely-Determined Thinning of the Tie-Zone Watershed Based on Label Frequency, Journal of Mathematical Imaging and Vision, vol.13, issue.6, pp.157-173, 2007.
DOI : 10.1007/s10851-007-0780-4

C. Couprie, L. Grady, L. Najman, and H. Talbot, Power watersheds: A new image segmentation framework extending graph cuts, random walker and optimal spanning forest, 2009 IEEE 12th International Conference on Computer Vision, 2009.
DOI : 10.1109/ICCV.2009.5459284

URL : https://hal.archives-ouvertes.fr/hal-00622409

L. Grady, Random Walks for Image Segmentation, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.28, issue.11, pp.1768-1783, 2006.
DOI : 10.1109/TPAMI.2006.233

Y. Boykov, O. Veksler, and R. Zabih, Fast approximate energy minimization via graph cuts, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.23, issue.11, pp.1222-1239, 2001.
DOI : 10.1109/34.969114

M. Alcoverro, S. Philipp-foliguet, M. Jordan, L. Najman, and J. Cousty, Regionbased artwork indexing and classification, Proc. 2-nd 3DTV-conference, pp.393-396, 2008.
DOI : 10.1109/3dtv.2008.4547891

URL : https://hal.archives-ouvertes.fr/hal-00622243