H. G. Akcay and S. Aksoy, Automatic Detection of Geospatial Objects Using Multiple Hierarchical Segmentations, IEEE Transactions on Geoscience and Remote Sensing, vol.46, issue.7, pp.2097-2111, 2008.
DOI : 10.1109/TGRS.2008.916644

J. Angulo, D. Jeulin, G. J. Banon, J. Barrera, and U. Braga-neto, Stochastic watershed segmentation, Proceedings, (ISMM), Rio de Janeiro Instituto Nacional de Pesquisas Espaciais (INPE), pp.265-276, 2007.
URL : https://hal.archives-ouvertes.fr/hal-01104256

P. Arbelaez, M. Maire, C. Fowlkes, and J. Malik, Contour Detection and Hierarchical Image Segmentation, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.33, issue.5, pp.898-916, 2011.
DOI : 10.1109/TPAMI.2010.161

E. T. Bell, Exponential Numbers, The American Mathematical Monthly, vol.41, issue.7, pp.411-419, 1934.
DOI : 10.2307/2300300

L. Breiman, J. H. Friedman, R. A. Olshen, and C. J. Stone, Classification and Regression Trees, 1984.

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. Cousty and L. Najman, Incremental Algorithm for Hierarchical Minimum Spanning Forests and Saliency of Watershed Cuts, ) ISMM. LNCS, pp.272-283, 2011.
DOI : 10.1007/978-3-642-21569-8_24
URL : https://hal.archives-ouvertes.fr/hal-00622505

H. Everett, Generalized Lagrange Multiplier Method for Solving Problems of Optimum Allocation of Resources, Operations Research, vol.11, issue.3, pp.399-417, 1963.
DOI : 10.1287/opre.11.3.399

L. Guigues, Modèles multi-´ echelles pour la segmentation d'images, Thèse doctorale, 2003.

L. Guigues, J. P. Cocquerez, L. Men, and H. , Scale-Sets Image Analysis, International Journal of Computer Vision, vol.20, issue.6, pp.289-317, 2006.
DOI : 10.1007/s11263-005-6299-0
URL : https://hal.archives-ouvertes.fr/hal-00705364

Y. Haxhimusa, W. Kropatsch, A. Fred, T. Caelli, R. Duin et al., Segmentation Graph Hierarchies, Lecture Notes in Computer Science, vol.3138, pp.343-351, 2004.
DOI : 10.1007/978-3-540-27868-9_36
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.2.7928

B. R. Kiran and J. Serra, Ground truth energies for hierarchies of segmentations, in Mathematical Morphology and Its Applications to Signal and Image Processing, Eds.) LNCS 7883 Springer, pp.123-134, 2013.

B. R. Kiran and J. Serra, Global?local optimizations by hierarchical cuts and climbing energies, Pattern Recognition, vol.47, issue.1, pp.12-24, 2014.
DOI : 10.1016/j.patcog.2013.05.012
URL : https://hal.archives-ouvertes.fr/hal-00802978

B. R. Kiran, Energetic Lattice based optimization, ESIEE, 2014.
URL : https://hal.archives-ouvertes.fr/tel-01126842

F. Meyer, Adjunctions on the Lattice of Dendrograms
DOI : 10.1007/978-3-642-38221-5_10
URL : https://hal.archives-ouvertes.fr/hal-00605568

J. Morel and S. Solimini, Variational Methods in Image Segmentation, 1995.
DOI : 10.1007/978-1-4684-0567-5

D. Mumford and J. Shah, Boundary Detection by Minimizing Functionals, 1988.

C. Ronse, Partial Partitions, Partial Connections and Connective Segmentation, Journal of Mathematical Imaging and Vision, vol.25, issue.4, pp.97-125, 2008.
DOI : 10.1007/s10851-008-0090-5

P. Salembier and L. Garrido, Binary partition tree as an efficient representation for image processing, segmentation, and information retrieval, IEEE Transactions on Image Processing, vol.9, issue.4, 2000.
DOI : 10.1109/83.841934
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.34.8078

J. Serra and B. R. Kiran, Optima on Hierarchies of Partitions in Mathematical Morphology and Its Applications to Signal and Image, Eds.) LNCS 7883 Springer, pp.147-158, 2013.

J. Serra, Hierarchy and Optima, in Discrete Geometry for Computer Imagery, I. Debled- Renneson, LNCS, vol.6007, pp.35-46, 2011.

B. R. Kiran and J. Serra, Fusion of ground truths and hierarchies of segmentations, Pattern Recognition Letters, vol.47, pp.63-71
DOI : 10.1016/j.patrec.2014.04.019

B. R. Kiran and J. Serra, Optimal Cuts on Hierarchies and on Braids of Partitions Tech, Report ESIEE, 2014.

B. R. Kiran and J. Serra, Braids of partitions in Mathematical Morphology and Its Applications to Signal and Image Processing, LNCS, vol.9082, 2015.

J. Serra and B. R. Kiran, Constrained Optimization on Hierarchies and Braids of Partitions in Mathematical Morphology and Its Applications to Signal and Image Processing, LNCS, vol.9082, 2015.

P. Soille, Constrained connectivity for hierarchical image partitioning and simplification, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.30, issue.7, pp.1132-1145, 2008.
DOI : 10.1109/TPAMI.2007.70817

G. Tochon, D. Mura, M. Chanussot, and J. , Segmentation of Multimodal Images based on Hierarchies of Partitions in Mathematical Morphology and Its Applications to Signal and Image Processing, LNCS, vol.9082, 2015.

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, 2012.
DOI : 10.1109/ICIP.2012.6467175
URL : https://hal.archives-ouvertes.fr/hal-00762289

T. Malisiewicz and A. A. , Efros: Improving Spatial Support for Objects via Multiple Segmentations, BMVC, vol.2007, pp.1-10
DOI : 10.5244/c.21.55
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.477.4844

S. Valero, Hyperspectral image representation and Processing with Binary Partition Trees. phd, 2011.
DOI : 10.1109/tip.2012.2231687
URL : https://hal.archives-ouvertes.fr/hal-00798351

M. Veganzones, G. Tochon, M. Dalla-mura, A. Plaza, and J. Chanussot, Hyperspectral image segmentation using a new spectral unmixing-based binarypartition tree representation, ITIP, vol.23, issue.8, pp.3574-3589, 2014.
DOI : 10.1109/tip.2014.2329767
URL : https://hal.archives-ouvertes.fr/hal-01010430/document