, Mathematical Morphology: From Theory to Applications, 2010.

H. J. Heijmans, Theoretical aspects of gray-level morphology, IEEE T Pattern Anal, vol.13, pp.568-582, 1991.

E. Aptoula and S. Lefèvre, A comparative study on multivariate mathematical morphology, Pattern Recogn, vol.40, pp.2914-2929, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00512660

P. Salembier and J. Serra, Flat zones filtering, connected operators, and filters by reconstruction, IEEE T Image Process, vol.4, pp.1153-1160, 1995.

P. Salembier and M. H. Wilkinson, Connected operators: A review of region-based morphological image processing techniques, IEEE Signal Proc Mag, vol.26, pp.136-157, 2009.

P. Salembier, A. Oliveras, and L. Garrido, Anti-extensive connected operators for image and sequence processing, IEEE T Image Process, vol.7, pp.555-570, 1998.

P. Monasse and F. Guichard, Scale-space from a level lines tree, J Vis Commun Image R, vol.11, pp.224-236, 2000.

P. Salembier and L. Garrido, Binary partition tree as an efficient representation for image processing, segmentation and information retrieval, IEEE T Image Process, vol.9, pp.561-576, 2000.

P. Soille, Constrained connectivity for hierarchical image partitioning and simplification, IEEE T Pattern Anal, vol.30, pp.1132-1145, 2008.

L. Najman and T. Géraud, Discrete set-valued continuity and interpolation, ISMM, ser. Lect Notes Comput Sc, vol.7883, pp.37-48, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00798574

C. Kurtz, B. Naegel, and N. Passat, Multivalued component-tree filtering, ICPR, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01695070

N. Passat and B. Naegel, Component-hypertrees for image segmentation, ISMM, ser. Lect Notes Comput Sc, vol.6671, pp.284-295, 2011.
URL : https://hal.archives-ouvertes.fr/hal-01695041

O. Tankyevych, H. Talbot, and N. Passat, Semi-connections and hierarchies, ISMM, ser. Lect Notes Comput Sc, vol.7883, pp.157-168, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01719130

B. Naegel and N. Passat, Component-trees and multivalued images: A comparative study, ISMM, ser. Lect Notes Comput Sc, vol.5720, pp.261-171, 2009.
URL : https://hal.archives-ouvertes.fr/inria-00412965

N. Passat and B. Naegel, An extension of component-trees to partial orders, ICIP, pp.3981-3984, 2009.
URL : https://hal.archives-ouvertes.fr/hal-01695031

, Component-trees and multivalued images: Structural properties, J Math Imaging Vis, vol.49, issue.1, pp.37-50, 2014.

E. Carlinet and T. Géraud, A comparison of many max-tree computation algorithms, ISMM, ser. Lect Notes Comput Sc, vol.7883, pp.73-84, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01476238

E. J. Breen and R. Jones, Attribute openings, thinnings, and granulometries, Comput Vis Image Und, vol.64, pp.377-389, 1996.

R. Jones, Connected filtering and segmentation using component trees, Comput Vis Image Und, vol.75, pp.215-228, 1999.

B. Naegel and N. Passat, Toward connected filtering based on component-graphs, ISMM, ser. Lect Notes Comput Sc, vol.7883, pp.350-361, 2013.

A. V. Aho, M. R. Garey, and J. D. Ullman, The transitive reduction of a directed graph, SIAM J Comput, vol.1, pp.131-137, 1972.

M. H. Wilkinson, H. Gao, W. H. Hesselink, J. Jonker, and A. Meijster, Concurrent computation of attribute filters on shared memory parallel machines, IEEE T Pattern Anal, vol.30, pp.1800-1813, 2008.

L. Guigues, J. Cocquerez, and H. Le-men, Scale-sets image analysis, Int J Comput Vision, vol.68, pp.289-317, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00705364

J. Serra, Tutorial on connective morphology, IEEE J Sel Top Signal, vol.6, pp.739-752, 2012.