J. Angulo and J. Chanussot, Color and Multivariate Images, Mathematical Morphology?From Theory to Applications, pp.291-321, 2010.
DOI : 10.1002/9781118600788.ch11
URL : https://hal.archives-ouvertes.fr/hal-00834942

E. Breen and R. Jones, Attribute Openings, Thinnings, and Granulometries, Computer Vision and Image Understanding, vol.64, issue.3, pp.377-389, 1996.
DOI : 10.1006/cviu.1996.0066

P. Salembier, A. Oliveras, and L. Garrido, Antiextensive connected operators for image and sequence processing, IEEE Transactions on Image Processing, vol.7, issue.4, pp.555-570, 1998.
DOI : 10.1109/83.663500
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.55.9217

R. Jones, Connected Filtering and Segmentation Using Component Trees, Computer Vision and Image Understanding, vol.75, issue.3, pp.215-228, 1999.
DOI : 10.1006/cviu.1999.0777

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
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.206.161

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

Y. Xu, T. Géraud, and L. Najman, Context-based energy estimator: Application to object segmentation on the tree of shapes, 2012 19th IEEE International Conference on Image Processing, pp.1577-1580
DOI : 10.1109/ICIP.2012.6467175
URL : https://hal.archives-ouvertes.fr/hal-00762289

Y. Xu, T. Géraud, and L. Najman, Salient level lines selection using the Mumford-Shah functional, 2013 IEEE International Conference on Image Processing, pp.1227-1231, 2013.
DOI : 10.1109/ICIP.2013.6738253
URL : https://hal.archives-ouvertes.fr/hal-00831032

T. Géraud, E. Carlinet, S. Crozet, and L. Najman, A Quasi-linear Algorithm to Compute the Tree of Shapes of nD Images, Proc. of Intl. Symp. on Mathematical Morphology (ISMM), ser. LNCS, pp.98-110, 2013.
DOI : 10.1007/978-3-642-38294-9_9

O. Lezoray, C. Charrier, and A. Elmoataz, Rank transformation and manifold learning for multivariate mathematical morphology, Proc. of European Signal Processing Conference, pp.35-39, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00380591

S. Velasco-forero and J. Angulo, Supervised Ordering in <formula formulatype="inline"> <tex Notation="TeX">${\rm I}\!{\rm R}^p$</tex></formula>: Application to Morphological Processing of Hyperspectral Images, IEEE Transactions on Image Processing, vol.20, issue.11, p.3301, 2011.
DOI : 10.1109/TIP.2011.2144611

E. Aptoula and S. Lefèvre, A comparative study on multivariate mathematical morphology, Pattern Recognition, vol.40, issue.11, pp.2914-2929, 2007.
DOI : 10.1016/j.patcog.2007.02.004
URL : https://hal.archives-ouvertes.fr/hal-00512660

S. Velasco-forero and J. Angulo, Vector ordering and multispectral morphological image processing, " in Advances in Low-Level Color Image Processing, ser. Lecture Notes in Computational Vision and Biomechanics, pp.223-239, 2014.

B. Naegel and N. Passat, Component-trees and multivalue images: A comparative study, Proc. of Intl. Symp. on Mathematical Morphology (ISMM), ser. LNCS, pp.261-271, 2009.
DOI : 10.1007/978-3-642-03613-2_24

B. Perret, S. Lefèvre, C. Collet, and E. Slezak, Connected Component Trees for Multivariate Image Processing and Applications in Astronomy, 2010 20th International Conference on Pattern Recognition, pp.4089-4092, 2010.
DOI : 10.1109/ICPR.2010.994

F. Tushabe and M. H. Wilkinson, Color processing using max-trees: A comparison on image compression, 2012 International Conference on Systems and Informatics (ICSAI2012), pp.1374-1380, 2012.
DOI : 10.1109/ICSAI.2012.6223290

V. Caselles and P. Monasse, Geometric description of images as topographic maps, ser, Lecture Notes in Mathematics, 1984.

N. Passat and B. Naegel, An extension of componenttrees to partial orders, Proc. of IEEE International Conference on Image Processing, pp.3981-3984, 2009.

N. Passat and B. Naegel, Component-Trees and Multivalued Images: Structural Properties, Journal of Mathematical Imaging and Vision, vol.28, issue.2, pp.1-14, 2013.
DOI : 10.1007/s10851-013-0438-3
URL : https://hal.archives-ouvertes.fr/inria-00611714

B. Naegel and N. Passat, Towards Connected Filtering Based on Component-Graphs, Proc. of Intl. Symp. on Mathematical Morphology (ISMM), ser. LNCS, pp.353-364, 2013.
DOI : 10.1007/978-3-642-38294-9_30
URL : https://hal.archives-ouvertes.fr/hal-00782142

V. Barnett, The Ordering of Multivariate Data, Journal of the Royal Statistical Society. Series A (General), vol.139, issue.3, pp.318-355, 1976.
DOI : 10.2307/2344839

J. Angulo, Unified morphological color processing framework in a LumHue representation, Proc. of Intl. Symp. on Mathematical Morphology (ISMM), ser. Computational Imaging and Vision, pp.387-396, 2005.

J. Serra, Représentations de la couleur en coordonnées polaires adaptées au traitement d'images, 2005.

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

V. Caselles and P. Monasse, Grain Filters, Journal of Mathematic Imaging and Vision, vol.17, issue.3, pp.249-270, 2002.
DOI : 10.1007/978-3-642-04611-7_3

L. Najman and T. Géraud, Discrete Set-Valued Continuity and Interpolation, Proc. of Intl. Symp. on Mathematical Morphology (ISMM), ser. LNCS, pp.37-48, 2013.
DOI : 10.1007/978-3-642-38294-9_4
URL : https://hal.archives-ouvertes.fr/hal-00798574

K. Barnard, L. Martin, B. Funt, and A. Coath, A data set for color research, Color Research & Application, vol.17, issue.3, pp.147-151, 2002.
DOI : 10.1002/col.10049

S. Garg, Image compression benchmark, 2008.