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

[. Beucher, Numerical residues, Image and Vision Computing, vol.25, issue.4, pp.405-415, 2007.
DOI : 10.1016/j.imavis.2006.07.020

J. Edmond, R. Breen, and . Jones, Attribute Openings, Thinnings , and Granulometries, Computer Vision and Image Understanding, vol.64, issue.3, pp.377-389, 1996.

[. Forssen and D. G. Lowe, Shape Descriptors for Maximally Stable Extremal Regions, 2007 IEEE 11th International Conference on Computer Vision, pp.1-8, 2007.
DOI : 10.1109/ICCV.2007.4409025

]. For07 and . Forssen, Maximally Stable Colour Regions for Recognition and Matching, IEEE Conference on Computer Vision and Pattern Recognition, pp.1-8, 2007.

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

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

A. [. Litman, M. M. Bronstein, and . Bronstein, Stable volumetric features in deformable shapes, Shape Modeling International Conference, pp.569-576, 2012.
DOI : 10.1016/j.cag.2012.03.034

[. Lerallut, F. Etiennedecencì-ere, and . 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

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

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

O. [. Matas, M. Chum, T. Urban, and . Pajdla, Robust wide-baseline stereo from maximally stable extremal regions, British Machine Vision Computing, pp.761-767, 2002.
DOI : 10.1016/j.imavis.2004.02.006

[. Morard, P. Etiennedecencì, and . Dokládal, Efficient Geodesic Attribute Thinnings Based on the Barycentric Diameter, Journal of Mathematical Imaging and Vision, vol.29, issue.2, pp.128-142, 2013.
DOI : 10.1007/s10851-012-0374-7
URL : https://hal.archives-ouvertes.fr/hal-00834415

. Mts-+-05-]-k, T. Mikolajczyk, C. Tuytelaars, A. Schmid, J. Zisserman et al., A Comparison of Affine Region Detectors, International Journal of Computer Vision, vol.65, issue.12, pp.43-72, 2005.

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

P. Maragos and R. D. Ziff, Threshold superposition in morphological image analysis systems, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.12, issue.5, pp.498-504, 1990.
DOI : 10.1109/34.55110

D. Nistér and H. Stewénius, Linear Time Maximally Stable Extremal Regions, European Conference on Computer Vision, pp.183-196, 2008.
DOI : 10.1007/978-3-540-88688-4_14

G. K. Ouzounis, M. Pesaresi, and P. Soille, Differential Area Profiles: Decomposition Properties and Efficient Computation, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.34, issue.8, pp.1533-1548, 2012.
DOI : 10.1109/TPAMI.2011.245

[. Otsu, A Threshold Selection Method from Gray-Level Histograms, IEEE Transactions on Systems, Man, and Cybernetics, vol.9, issue.1, pp.62-66, 1979.
DOI : 10.1109/TSMC.1979.4310076

M. Pesaresi and J. A. Benediktsson, A new approach for the morphological segmentation of high-resolution satellite imagery, IEEE Transactions on Geoscience and Remote Sensing, vol.39, issue.2, pp.309-320, 2001.
DOI : 10.1109/36.905239

J. 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

B. T. Jos and . Roerdink, Adaptivity and group invariance in mathematical morphology, Proceedings of the International Conference on Image Processing (ICIP'09), pp.2253-2256, 2009.

A. Serna and B. Marcotegui, Attribute Controlled Reconstruction and Adaptive Mathematical Morphology, Mathematical Morphology and Its Applications to Signal and Image Processing, pp.207-218, 2013.
DOI : 10.1007/978-3-642-38294-9_18
URL : https://hal.archives-ouvertes.fr/hal-00834638

L. Vincent, Morphological area openings and closings for greyscale images, Proceedings of the Workshop: shape in picture, pp.197-208, 1994.

E. [. Wendt, N. C. Coyle, . Jr, and . Gallagher, Stack filters, IEEE Transactions on Acoustics, Speech, and Signal Processing, vol.34, issue.4, pp.898-911, 1986.
DOI : 10.1109/TASSP.1986.1164871