P. Salembier and M. H. Wilkinson, Connected operators, IEEE Signal Processing Magazine, vol.26, issue.6, pp.136-157, 2009.
DOI : 10.1109/MSP.2009.934154

L. Najman and J. Cousty, A graph-based mathematical morphology reader, Pattern Recognition Letters, vol.47, pp.3-17, 2014.
DOI : 10.1016/j.patrec.2014.05.007

URL : https://hal.archives-ouvertes.fr/hal-00986191

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, pp.561-576, 2000.
DOI : 10.1109/83.841934

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.34.8078

J. F. Randrianasoa, C. Kurtz, ´. E. Desjardin, and N. Passat, Multi-image Segmentation: A Collaborative Approach Based on Binary Partition Trees, ISMM, International Symposium on Mathematical Morphology, Proceedings, pp.253-264, 2015.
DOI : 10.1007/978-3-319-18720-4_22

A. Rosenfeld, Connectivity in Digital Pictures, Journal of the ACM, vol.17, issue.1, pp.146-160, 1970.
DOI : 10.1145/321556.321570

R. Adams and L. Bischof, Seeded region growing, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.16, issue.6, pp.641-647, 1994.
DOI : 10.1109/34.295913

L. Vincent and P. Soille, Watersheds in digital spaces: an efficient algorithm based on immersion simulations, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.13, issue.6, pp.583-598, 1991.
DOI : 10.1109/34.87344

S. L. Horowitz and T. Pavlidis, Picture segmentation by a directed split-and-merge procedure, Second International Joint Conference on Pattern Recognition, Proceedings, p.433, 1974.

E. H. Adelson and J. R. Bergen, The plenoptic function and the elements of early vision, Computational Models of Visual Processing, vol.1, pp.3-20, 1991.

Y. Boykov, O. Veksler, and R. Zabih, Fast approximate energy minimization via graph cuts, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.23, issue.11, pp.1222-1239, 2001.
DOI : 10.1109/34.969114

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.112.6806

L. Grady, Random Walks for Image Segmentation, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.28, issue.11, pp.1768-1783, 2006.
DOI : 10.1109/TPAMI.2006.233

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.375.3389

C. Couprie, L. Grady, L. Najman, and H. Talbot, Power Watershed: A Unifying Graph-Based Optimization Framework, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.33, issue.7, pp.1384-1398, 2011.
DOI : 10.1109/TPAMI.2010.200

P. Salembier and J. Serra, Flat zones filtering, connected operators, and filters by reconstruction, IEEE Transactions on Image Processing, vol.4, issue.8, pp.1153-1160, 1995.
DOI : 10.1109/83.403422

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.17.9460

M. Yau and S. N. Srihari, A hierarchical data structure for multidimensional digital images, Communications of the ACM, vol.26, issue.7, pp.504-515, 1983.
DOI : 10.1145/358150.358158

A. Montanvert, P. Meer, and A. Rosenfeld, Hierarchical image analysis using irregular tessellations, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.13, issue.4, pp.307-316, 1991.
DOI : 10.1109/34.88566

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

P. Monasse and F. Guichard, Scale-Space from a Level Lines Tree, Journal of Visual Communication and Image Representation, vol.11, issue.2, pp.224-236, 2000.
DOI : 10.1006/jvci.1999.0441

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

L. Najman and M. Schmitt, Geodesic saliency of watershed contours and hierarchical segmentation, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.18, issue.12, pp.1163-1173, 1996.
DOI : 10.1109/34.546254

URL : https://hal.archives-ouvertes.fr/hal-00622128

B. Perret, S. Lefèvre, C. Collet, and E. Slezak, Hyperconnections and Hierarchical Representations for Grayscale and Multiband Image Processing, IEEE Transactions on Image Processing, vol.21, issue.1, pp.14-27, 2012.
DOI : 10.1109/TIP.2011.2161322

URL : https://hal.archives-ouvertes.fr/hal-00737998

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

L. Guigues, J. Cocquerez, and H. L. Men, 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

N. Passat, B. Naegel, F. Rousseau, M. Koob, and J. Dietemann, Interactive segmentation based on component-trees, Pattern Recognition, vol.44, issue.10-11, pp.2539-2554, 2011.
DOI : 10.1016/j.patcog.2011.03.025

URL : https://hal.archives-ouvertes.fr/hal-00687001

N. Passat and B. , Component-Trees and Multivalued Images: Structural Properties, Journal of Mathematical Imaging and Vision, vol.28, issue.2, pp.37-50, 2014.
DOI : 10.1007/s10851-013-0438-3

URL : https://hal.archives-ouvertes.fr/inria-00611714

C. Kurtz, B. Naegel, and N. Passat, Connected Filtering Based on Multivalued Component-Trees, IEEE Transactions on Image Processing, vol.23, issue.12, pp.5152-5164, 2014.
DOI : 10.1109/TIP.2014.2362053

E. Carlinet and T. Géraud, MToS: A Tree of Shapes for Multivariate Images, IEEE Transactions on Image Processing, vol.24, issue.12, pp.5330-5342, 2015.
DOI : 10.1109/TIP.2015.2480599

URL : https://hal.archives-ouvertes.fr/hal-01474835

N. Passat and B. , Component-Hypertrees for Image Segmentation, ISMM, International Symposium on Mathematical Morphology, Proceedings, pp.284-295, 2011.
DOI : 10.1007/978-3-642-21569-8_25

B. Perret, J. Cousty, O. Tankyevych, H. Talbot, and N. Passat, Directed Connected Operators: Asymmetric Hierarchies for Image Filtering and Segmentation, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.37, issue.6, pp.1162-1176, 2015.
DOI : 10.1109/TPAMI.2014.2366145

URL : https://hal.archives-ouvertes.fr/hal-00869727

Y. Xu, T. Géraud, L. Najman, ´. E. Grossiord, B. Naegel et al., Connected Filtering on Tree-Based Shape-Spaces, ISMM, International Symposium on Mathematical Morphology, Proceedings, volume 9082 of Lecture Notes in Computer Science, pp.1126-1140, 2015.
DOI : 10.1109/TPAMI.2015.2441070

URL : https://hal.archives-ouvertes.fr/hal-01162437

J. L. Bentley, Multidimensional binary search trees used for associative searching, Communications of the ACM, vol.18, issue.9, pp.509-517, 1975.
DOI : 10.1145/361002.361007

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

URL : http://publications.jrc.ec.europa.eu/repository/handle/JRC36392

S. Valero, P. Salembier, and J. Chanussot, Comparison of merging orders and pruning strategies for Binary Partition Tree in hyperspectral data, 2010 IEEE International Conference on Image Processing, pp.2565-2568, 2010.
DOI : 10.1109/ICIP.2010.5652595

URL : https://hal.archives-ouvertes.fr/hal-00578963

X. Giro and F. Marqués, From Partition Trees to Semantic Trees, MRCS, Multimedia Content Representation, Classification and Security, Proceedings, pp.306-313, 2006.
DOI : 10.1007/11848035_41

V. Vilaplana, F. Marques, and P. Salembier, Binary Partition Trees for Object Detection, IEEE Transactions on Image Processing, vol.17, issue.11, pp.2201-2216, 2008.
DOI : 10.1109/TIP.2008.2002841

S. Valero, P. Salembier, and J. Chanussot, Object recognition in hyperspectral images using Binary Partition Tree representation, Pattern Recognition Letters, vol.56, pp.45-51, 2015.
DOI : 10.1016/j.patrec.2015.01.003

J. A. Benediktsson, L. Bruzzone, J. Chanussot, M. D. Mura, P. Salembier et al., Hierarchical Analysis of Remote Sensing Data: Morphological Attribute Profiles and Binary Partition Trees, ISMM, International Symposium on Mathematical Morphology, Proceedings, Lecture Notes in Computer Science, pp.306-319, 2011.
DOI : 10.1007/978-3-642-21569-8_27

URL : https://hal.archives-ouvertes.fr/hal-00696056

C. Kurtz, N. Passat, P. Gançarski, and A. Puissant, Extraction of complex patterns from multiresolution remote sensing images: A hierarchical top-down methodology, Pattern Recognition, vol.45, issue.2, pp.45-685, 2012.
DOI : 10.1016/j.patcog.2011.07.017

F. Calderero, F. Eugenio, J. Marcello, and F. Marques, Multispectral Cooperative Partition Sequence Fusion for Joint Classification and Hierarchical Segmentation, IEEE Geoscience and Remote Sensing Letters, vol.9, issue.6, pp.1012-1016, 2012.
DOI : 10.1109/LGRS.2012.2188776

C. Kurtz, A. Stumpf, J. Malet, P. Gançarski, A. Puissant et al., Hierarchical extraction of landslides from multiresolution remotely sensed optical images, ISPRS Journal of Photogrammetry and Remote Sensing, vol.87, pp.122-136, 2014.
DOI : 10.1016/j.isprsjprs.2013.11.003

S. Valero, P. Salembier, and J. Chanussot, Hyperspectral Image Representation and Processing With Binary Partition Trees, IEEE Transactions on Image Processing, vol.22, issue.4, pp.1430-1443, 2013.
DOI : 10.1109/TIP.2012.2231687

URL : https://hal.archives-ouvertes.fr/hal-00798351

M. A. Veganzones, G. Tochon, M. D. Mura, A. J. Plaza, and J. Chanussot, Hyperspectral Image Segmentation Using a New Spectral Unmixing-Based Binary Partition Tree Representation, IEEE Transactions on Image Processing, vol.23, issue.8, pp.3574-3589, 2014.
DOI : 10.1109/TIP.2014.2329767

URL : https://hal.archives-ouvertes.fr/hal-01010430

A. Alonso-gonzález, C. López-martínez, and P. Salembier, Filtering and Segmentation of Polarimetric SAR Data Based on Binary Partition Trees, IEEE Transactions on Geoscience and Remote Sensing, vol.50, issue.2, pp.593-605, 2012.
DOI : 10.1109/TGRS.2011.2160647

P. Salembier, Study of Binary Partition Tree Pruning Techniques for Polarimetric SAR Images, ISMM, International Symposium on Mathematical Morphology, Proceedings, pp.51-62, 2015.
DOI : 10.1007/978-3-319-18720-4_5

A. Alonso-gonzález, S. Valero, J. Chanussot, C. López-martínez, and P. Salembier, Processing Multidimensional SAR and Hyperspectral Images With Binary Partition Tree, Proceedings of the IEEE, vol.101, issue.3, pp.723-747, 2013.
DOI : 10.1109/JPROC.2012.2205209

A. Alonso-gonzález, C. López-martínez, and P. Salembier, PolSAR Time Series Processing With Binary Partition Trees, IEEE Transactions on Geoscience and Remote Sensing, vol.52, issue.6, pp.3553-3567, 2014.
DOI : 10.1109/TGRS.2013.2273664

L. Garrido, P. Salembier, and D. Garcia, Extensive operators in partition lattices for image sequence analysis, Signal Processing, vol.66, issue.2, pp.157-180, 1998.
DOI : 10.1016/S0165-1684(98)00004-8

C. Kurtz, N. Passat, A. Puissant, and P. Gançarski, Hierarchical Segmentation of Multiresolution Remote Sensing Images, ISMM, International Symposium on Mathematical Morphology, Proceedings, pp.343-354, 2011.
DOI : 10.1007/978-3-642-21569-8_30

URL : https://hal.archives-ouvertes.fr/halshs-00626763

J. Cousty, L. Najman, and B. Perret, Constructive Links between Some Morphological Hierarchies on Edge-Weighted Graphs, ISMM, International Symposium on Mathematical Morphology, Proceedings, pp.86-97, 2013.
DOI : 10.1007/978-3-642-38294-9_8

URL : https://hal.archives-ouvertes.fr/hal-00798622

A. Al-dujaili, F. Merciol, and S. Lefèvre, GraphBPT: An Efficient Hierarchical Data Structure for Image Representation and Probabilistic Inference, ISMM, International Symposium on Mathematical Morphology, Proceedings, pp.301-312, 2015.
DOI : 10.1007/978-3-319-18720-4_26

URL : https://hal.archives-ouvertes.fr/hal-01168116

V. Machairas, M. Faessel, D. Cárdenas-peña, T. Chabardes, T. Walter et al., Waterpixels, IEEE Transactions on Image Processing, vol.24, issue.11, pp.3707-3716, 2015.
DOI : 10.1109/TIP.2015.2451011

URL : https://hal.archives-ouvertes.fr/hal-01212760