D. Mumford and J. Shah, Optimal approximations by piecewise smooth functions and associated variational problems, Communications on Pure and Applied Mathematics, vol.3, issue.5, pp.577-685, 1989.
DOI : 10.1002/cpa.3160420503

URL : http://nrs.harvard.edu/urn-3:HUL.InstRepos:3637121

M. Kass, A. Witkin, and D. Terzopoulos, Snakes: Active contour models, International Journal of Computer Vision, vol.5, issue.6035, pp.321-331, 1987.
DOI : 10.1007/BF00133570

T. F. Chan and L. A. Vese, Active contours without edges, IEEE Transactions on Image Processing, vol.10, issue.2, pp.266-277, 2001.
DOI : 10.1109/83.902291

L. Najman, On the Equivalence Between Hierarchical Segmentations and??Ultrametric Watersheds, Journal of Mathematical Imaging and Vision, vol.113, issue.3, pp.231-247, 2011.
DOI : 10.1007/s10851-011-0259-1

URL : https://hal.archives-ouvertes.fr/hal-00419373

V. Caselles, B. Coll, and J. Morel, Topographic maps and local contrast changes in natural images, International Journal of Computer Vision, vol.33, issue.1, pp.5-27, 1999.
DOI : 10.1023/A:1008144113494

P. Monasse and F. Guichard, Fast computation of a contrast-invariant image representation, IEEE Transactions on Image Processing, vol.9, issue.5, pp.860-872, 2000.
DOI : 10.1109/83.841532

C. Ballester, V. Caselles, L. Igual, and L. Garrido, Level Lines Selection with Variational Models for Segmentation and Encoding, Journal of Mathematical Imaging and Vision, vol.4, issue.8, pp.5-27, 2007.
DOI : 10.1007/s10851-006-7252-0

J. Cardelino, G. Randall, M. Bertalmio, and V. Caselles, Region Based Segmentation Using the Tree of Shapes, 2006 International Conference on Image Processing, pp.2421-2424, 2006.
DOI : 10.1109/ICIP.2006.312951

A. Pardo, Semantic image segmentation using morphological tools, Proceedings. International Conference on Image Processing, pp.745-748, 2002.
DOI : 10.1109/ICIP.2002.1040058

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.104.3864

A. Desolneux, L. Moisan, and J. M. , Edge detection by helmholtz principle, pp.271-284, 2001.
URL : https://hal.archives-ouvertes.fr/hal-00170793

F. Cao, P. Musé, and F. Sur, Extracting meaningful curves from images, pp.159-181, 2005.
DOI : 10.1007/s10851-005-4888-0

URL : https://hal.archives-ouvertes.fr/inria-00104264

C. Berger, T. Géraud, R. Levillain, N. Widynski, A. Baillard et al., Effective Component Tree Computation with Application to Pattern Recognition in Astronomical Imaging, 2007 IEEE International Conference on Image Processing, pp.41-44, 2007.
DOI : 10.1109/ICIP.2007.4379949

Y. Xu, T. Géraud, and L. Najman, Morphological filtering in shape spaces: Applications using tree-based image representations, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00714847

R. Levillain, T. Géraud, and L. Najman, Why and how to design a generic and efficient image processing framework: The case of the Milena library, Proc. of IEEE ICIP, pp.1941-1944, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00622480