P. Soille, Morphological Image Analysis, Principles and Applications, 2002.

R. Brockett and P. Maragos, Evolution equations for continuous-scale morphology, [Proceedings] ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing, pp.125-128, 1992.
DOI : 10.1109/ICASSP.1992.226260

G. Sapiro, R. Kimmel, D. Shaked, B. Kimia, and A. Bruckstein, Implementing continuous-scale morphology via curve evolution, Pattern Recognition, vol.26, issue.9, pp.1363-1372, 1993.
DOI : 10.1016/0031-3203(93)90142-J

P. Maragos, PDEs for morphology scale-spaces and eikonal applications: The Image and Video Processing Handbook. second edn, pp.587-612, 2004.

M. Breuß, B. Burgeth, and J. Weickert, Anisotropic continuous-scale morphology, Proceedings of the 3rd IbPRIA, pp.512-522, 2007.

A. Buades, B. Coll, and J. Morel, Nonlocal Image and Movie Denoising, International Journal of Computer Vision, vol.14, issue.1, pp.123-139, 2008.
DOI : 10.1007/s11263-007-0052-1
URL : https://hal.archives-ouvertes.fr/hal-00271147

G. Gilboa and S. Osher, Nonlocal Operators with Applications to Image Processing, Multiscale Modeling & Simulation, vol.7, issue.3, 2007.
DOI : 10.1137/070698592

G. Peyré, Manifold models for signals and images, Computer Vision and Image Understanding, vol.113, issue.2, 2007.
DOI : 10.1016/j.cviu.2008.09.003

A. Elmoataz, O. Lézoray, and S. Bougleux, Nonlocal Discrete Regularization on Weighted Graphs: A Framework for Image and Manifold Processing, IEEE Transactions on Image Processing, vol.17, issue.7, pp.1047-1060, 2008.
DOI : 10.1109/TIP.2008.924284
URL : https://hal.archives-ouvertes.fr/hal-00163573

B. Burgeth, A. Bruhn, S. Didas, J. Weickert, and M. Welk, Morphology for matrix data: Ordering versus PDE-based approach, Image and Vision Computing, vol.25, issue.4, pp.496-511, 2007.
DOI : 10.1016/j.imavis.2006.06.002
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.170.7498

J. Postaire, R. Zhang, and C. Lecocq-botte, Cluster analysis by binary morphology, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.15, issue.2, pp.170-180, 1993.
DOI : 10.1109/34.192490

H. Heijmans, P. Nacken, A. Toet, and L. Vincent, Graph morphology, Journal of Visual Communication and Image Representation, vol.3, issue.1, pp.24-38, 1992.
DOI : 10.1016/1047-3203(92)90028-R

F. Meyer and R. Lerallut, Morphological operators for flooding, leveling and filtering images using grpahs, Proceedings of the 6th IAPR-TC-15 GbRPR, pp.158-167, 2007.

R. Diestel, Graph Theory, Graduate Texts in Mathematics, vol.173, 2005.

T. Chan, S. Osher, and J. Shen, The digital TV filter and nonlinear denoising, IEEE Transactions on Image Processing, vol.10, issue.2, pp.231-241, 2001.
DOI : 10.1109/83.902288

A. Trémeau and P. Colantoni, Regions adjacency graph applied to color image segmentation, IEEE Transactions on Image Processing, vol.9, issue.4, pp.735-744, 2000.
DOI : 10.1109/83.841950

V. Luxburg and U. , A tutorial on spectral clustering, Statistics and Computing, vol.21, issue.1, pp.395-416, 2007.
DOI : 10.1007/s11222-007-9033-z

S. Osher and J. Sethian, Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations, Journal of Computational Physics, vol.79, issue.1, pp.12-49, 1988.
DOI : 10.1016/0021-9991(88)90002-2