G. Matheron, Random Sets and Integral Geometry, 1975.

J. Serra, Image Analysis and Mathematical Morphology, 1988.

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

P. Maragos and C. Vachier, Overview of adaptive morphology: Trends and perspectives, 2009 16th IEEE International Conference on Image Processing (ICIP), pp.2241-2244, 2009.
DOI : 10.1109/ICIP.2009.5413961

R. Gordon and R. M. Rangayyan, Feature enhancement of film mammograms using fixed and adaptive neighborhoods, Applied Optics, vol.23, issue.4, pp.560-564, 1984.
DOI : 10.1364/AO.23.000560

P. Perona and J. Malik, Scale-space and edge detection using anisotropic diffusion, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.12, issue.7, pp.629-639, 1990.
DOI : 10.1109/34.56205

S. Beucher, <title>Traffic Spatial Measurements Using Video Image Processing</title>, Intelligent Robots and Computer Vision VI, pp.648-655, 1987.
DOI : 10.1117/12.942815

J. Verly and R. Delanoy, Adaptive mathematical morphology for range imagery, IEEE Transactions on Image Processing, vol.2, issue.2, pp.272-275, 1993.
DOI : 10.1109/83.217233

F. Y. Shih and S. Cheng, Adaptive mathematical morphology for edge linking, Information Sciences, vol.167, issue.1-4, pp.9-21, 2004.
DOI : 10.1016/j.ins.2003.07.020

H. Talbot and B. Appleton, Efficient complete and incomplete path openings and closings, Image and Vision Computing, vol.25, issue.4, pp.416-425, 2007.
DOI : 10.1016/j.imavis.2006.07.021

J. C. Pinoli and J. Debayle, General Adaptive Neighborhood Mathematical Morphology, 2009 16th IEEE International Conference on Image Processing (ICIP), pp.2249-2252, 2009.
DOI : 10.1109/ICIP.2009.5413979

R. Lerallut, ´. E. Decencì-ere, and F. Meyer, Image filtering using morphological amoebas, Image and Vision Computing, vol.25, issue.4, pp.395-404, 2007.
DOI : 10.1016/j.imavis.2006.04.018

URL : https://hal.archives-ouvertes.fr/hal-01431825

V. Morard, E. Decencì-ere, and P. Dokládal, Region Growing Structuring Elements and New Operators based on their Shape, International conference on Signal and Image Processing, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00834502

J. Angulo, Morphological Bilateral Filtering and Spatially-Variant Adaptive Structuring Functions, Proceedings of the 10th International Symposium on Mathematical Morphology (ISMM'11, pp.212-223, 2011.
DOI : 10.1007/978-3-642-21569-8_19

URL : https://hal.archives-ouvertes.fr/hal-00658950

S. L. Horowitz and T. Pavlidis, Picture Segmentation by a directed split-and-merge procedure, Proceedings of the 2nd International Joint Conference on Pattern Recognition, pp.424-433, 1974.

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=

M. Nagao, T. Matsuyama, and Y. Ikeda, Region extraction and shape analysis in aerial photographs, Computer Graphics and Image Processing, vol.10, issue.3, pp.195-223, 1979.
DOI : 10.1016/0146-664X(79)90001-7

F. Meyer, From connected operators to levelings, Mathematical Morphology and its Applications to Image and Signal Processing, pp.191-198, 1998.

R. O. Duda, P. E. Hart, and D. G. Stork, Pattern Classification. 2 edn, 2000.

S. Hambrusch, X. He, and R. Miller, Parallel Algorithms for Gray-Scale Digitized Picture Component Labeling on a Mesh-Connected Computer, Journal of Parallel and Distributed Computing, vol.20, issue.1, pp.56-68, 1994.
DOI : 10.1006/jpdc.1994.1005

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

F. Meyer and C. Vachier, Image segmentation based on viscous flooding simulation, Proceedings of the 5th International Symposium on Mathematical Morphology (ISMM'02), pp.69-77, 2002.

J. Serra, Viscous Lattices, Journal of Mathematical Imaging and Vision, vol.22, issue.2/3, pp.269-282, 2005.
DOI : 10.1007/s10851-005-4894-2

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

J. Grazzini and P. Soille, Adaptive Morphological Filtering Using Similarities Based on Geodesic Time, pp.519-528, 2008.
DOI : 10.1007/978-3-540-79126-3_46

J. Hernández and B. Marcotegui, Point cloud segmentation towards urban ground modeling, 2009 Joint Urban Remote Sensing Event, p.5, 2009.
DOI : 10.1109/URS.2009.5137562

J. Serra and P. Salembier, Connected operators and pyramids. SPIE Image Algebra and Morphological Image Processing, pp.2030-65, 1993.

J. B. Roerdink, Adaptivity and group invariance in mathematical morphology, 2009 16th IEEE International Conference on Image Processing (ICIP), pp.2253-2256, 2009.
DOI : 10.1109/ICIP.2009.5413983

V. Morard, E. Decencì-ere, and P. Dokladal, Geodesic Attributes Thinnings and Thickenings, Proceedings of the 10th International Symposium on Mathematical Morphology (ISMM'11), pp.200-211, 2011.
DOI : 10.1007/978-3-642-21569-8_18

URL : https://hal.archives-ouvertes.fr/hal-00658960

C. Lantuéjoul and F. Maisonneuve, Geodesic methods in quantitative image analysis, Pattern Recognition, vol.17, issue.2, pp.177-187, 1984.
DOI : 10.1016/0031-3203(84)90057-8

C. Lantuéjoul and S. Beucher, On the use of the geodesic metric in image analysis, Journal of Microscopy, vol.121, issue.1, pp.39-49, 1981.
DOI : 10.1111/j.1365-2818.1981.tb01197.x