J. Serra, Image Analysis and Mathematical Morphology. II: Theoretical Advances, 1988.

H. Heijmans, Connected Morphological Operators for Binary Images, Computer Vision and Image Understanding, vol.73, issue.1, pp.99-120, 1999.
DOI : 10.1006/cviu.1998.0703

J. Serra and P. Salembier, Connected operators and pyramids, Image Algebra and Morphological Image Processing IV, pp.65-76, 1993.
DOI : 10.1117/12.146672

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

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

F. Cheng and A. Venetsanopoulos, An adaptive morphological filter for image processing, IEEE Transactions on Image Processing, vol.1, issue.4, pp.533-539, 1992.
DOI : 10.1109/83.199924

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

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

D. Gatica-perez, C. Gu, M. Sun, and S. Correa, Extensive partition operators, gray-level connected operators, and region merging/classification segmentation algorithms: theoretical links, IEEE Transactions on Image Processing, vol.10, issue.9, pp.1332-1345, 2001.
DOI : 10.1109/83.941857

J. Serra, A Lattice Approach to Image Segmentation, Journal of Mathematical Imaging and Vision, vol.2, issue.2, pp.83-130, 2006.
DOI : 10.1007/s10851-005-3616-0

URL : https://hal.archives-ouvertes.fr/hal-00622192

B. Naegel, N. Passat, N. Boch, and M. Kocher, Segmentation using vector-attribute filters: methodology and application to dermatological imaging, International Symposium on Mathematical Morphology, pp.239-250, 2007.
URL : https://hal.archives-ouvertes.fr/inria-00187232

C. Berger, T. Geraud, R. Levillain, N. Widynski, A. Baillard et al., Effective Component Tree Computation with Application to Pattern Recognition in Astronomical Imaging, 2007 IEEE International Conference on Image Processing, pp.41-44, 2007.
DOI : 10.1109/ICIP.2007.4379949

L. Najman and M. Couprie, Building the Component Tree in Quasi-Linear Time, IEEE Transactions on Image Processing, vol.15, issue.11, pp.3531-3539, 2006.
DOI : 10.1109/TIP.2006.877518

URL : https://hal.archives-ouvertes.fr/hal-00622110

L. Chen, M. Berry, and W. Hargrove, Using dendronal signatures for feature extraction and retrieval, International Journal of Imaging Systems and Technology, vol.28, issue.4, pp.243-253, 2001.
DOI : 10.1002/ima.1009

J. Mattes and J. Demongeot, Efficient Algorithms to Implement the Confinement Tree, International Conference on Discrete Geometry for Computer Imagery, pp.392-405, 2000.
DOI : 10.1007/3-540-44438-6_32

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

U. Braga-neto and J. Goutsias, Connectivity on Complete Lattices: New Results, Computer Vision and Image Understanding, vol.85, issue.1, pp.22-53, 2002.
DOI : 10.1006/cviu.2002.0961

G. Ouzounis and M. Wilkinson, Mask-Based Second-Generation Connectivity and Attribute Filters, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.29, issue.6, pp.990-1004, 2007.
DOI : 10.1109/TPAMI.2007.1045

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.151.1314

J. Serra, Connectivity on Complete Lattices, Journal of Mathematical Imaging and Vision, vol.9, issue.3, pp.231-251, 1998.
DOI : 10.1007/978-1-4613-0469-2_11

U. Braga-neto and J. Goutsias, A theoretical tour of connectivity in image processing and analysis, Journal of Mathematical Imaging and Vision, vol.19, issue.1, pp.5-31, 2003.
DOI : 10.1023/A:1024476403183

U. Braga-neto and J. Goutsias, Grayscale Level Connectivity: Theory and Applications, IEEE Transactions on Image Processing, vol.13, issue.12, pp.1567-1580, 2004.
DOI : 10.1109/TIP.2004.837514

O. Nempont, J. Atif, E. Angelini, and I. Bloch, A New Fuzzy Connectivity Measure for Fuzzy Sets, Journal of Mathematical Imaging and Vision, vol.8, issue.3, pp.107-136, 2009.
DOI : 10.1007/s10851-009-0136-3

G. Ouzounis, Generalized connected morphological operators for robust shape extraction, 2009.

G. Ouzounis and M. Wilkinson, Hyperconnected Attribute Filters Based on k-Flat Zones, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.33, issue.2, 2010.
DOI : 10.1109/TPAMI.2010.74

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.639.9735

M. Wilkinson, An Axiomatic Approach to Hyperconnectivity, Mathematical Morphology and Its Application to Signal and Image Processing, 9th International Symposium, ISMM, ser. LNCS, pp.35-46, 2009.
DOI : 10.1007/s10851-005-4885-3

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

B. Gatos, K. Ntirogianni, and I. Pratikakis, ICDAR 2009 document image binarization contest (DIBCO), International Conference on Document Analysis and Recognition, pp.1375-1382, 2009.
DOI : 10.1109/icdar.2009.246

G. Grätzer, General Lattice Theory, 2007.

H. Heijmans, Morphological Image Operators, 1994.

U. Braga-neto and J. Goutsias, A multiscale approach to connectivity, Computer Vision and Image Understanding, vol.89, issue.1, pp.70-107, 2003.
DOI : 10.1016/S1077-3142(03)00014-6

A. Rosenfeld, Fuzzy digital topology, Information and Control, vol.40, issue.1, pp.76-87, 1979.
DOI : 10.1016/S0019-9958(79)90353-X

URL : http://doi.org/10.1016/s0019-9958(79)90353-x

M. Grimaud, New measure of contrast: the dynamics, " in Image Algebra and Morphological Image Processing III, pp.292-305, 1992.

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

B. Naegel and N. Passat, Component-Trees and Multi-value Images: A Comparative Study, athematical Morphology and Its Application to Signal and Image Processing, 9th International Symposium , ISMM, ser. LNCS, pp.261-271, 2009.
DOI : 10.1109/TIP.2007.909317

I. Pratikakis, B. Gatos, and K. Ntirogianni, H-DIBCO 2010 - Handwritten Document Image Binarization Competition, 2010 12th International Conference on Frontiers in Handwriting Recognition, 2010.
DOI : 10.1109/ICFHR.2010.118

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

G. Palma, I. Bloch, and S. Muller, Fast fuzzy connected filter implementation using max-tree updates, Fuzzy Sets and Systems, vol.161, issue.1, pp.118-146, 2010.
DOI : 10.1016/j.fss.2009.08.006