The tree of shapes of an image, ESAIM: Control, Optimisation and Calculus of Variations, vol.9, pp.1-18, 2003. ,
DOI : 10.1051/cocv:2002069
A generalization of well-composedness to dimension n, 2014. ,
On Making nD Images Well-Composed by a Self-dual Local Interpolation, Proceedings of the 18th International Conference on Discrete Geometry for Computer Imagery (DGCI), pp.320-331, 2014. ,
DOI : 10.1007/978-3-319-09955-2_27
URL : https://hal.archives-ouvertes.fr/hal-01071624
How to make nD images well-composed in a self-dual way, This, 2015. ,
A Theory of Shape Identification, Lecture Notes in Mathematics, vol.1948, 2008. ,
DOI : 10.1007/978-3-540-68481-7
URL : https://hal.archives-ouvertes.fr/inria-00070255
Topographic maps and local contrast changes in natural images, International Journal of Computer Vision, vol.33, issue.1, pp.5-27, 1999. ,
DOI : 10.1023/A:1008144113494
Grain Filters, Journal of Mathematical Imaging and Vision, vol.17, issue.3, pp.249-270, 2002. ,
DOI : 10.1007/978-3-642-04611-7_3
Geometric Description of Images as Topographic Maps, Lecture Notes in Mathematics, vol.1984, 2009. ,
DOI : 10.1007/978-3-642-04611-7
URL : https://hal.archives-ouvertes.fr/hal-00654314
A first parallel algorithm to compute the morphological tree of shapes of nD images, 2014 IEEE International Conference on Image Processing (ICIP), pp.2933-2937, 2014. ,
DOI : 10.1109/ICIP.2014.7025593
A Quasi-linear Algorithm to Compute the Tree of Shapes of nD Images, Proceedings of the 11th International Symposium on Mathematical Morphology (ISMM). Lecture Notes in Computer Science Series, pp.98-110, 2013. ,
DOI : 10.1007/978-3-642-38294-9_9
3D well-composed polyhedral complexes, special Issue on Discrete Geometry for Computer Imagery, pp.59-77, 2015. ,
DOI : 10.1016/j.dam.2014.08.036
URL : http://arxiv.org/abs/1403.2980
Digital topology: Introduction and survey, Computer Vision, Graphics, and Image Processing, vol.48, issue.3, pp.357-393, 1989. ,
DOI : 10.1016/0734-189X(89)90147-3
On functions of two variables, Uspehi Mathematical Sciences, vol.5, pp.24-134, 1950. ,
3D Well-Composed Pictures, Graphical Models and Image Processing, vol.59, issue.3, pp.164-172, 1997. ,
DOI : 10.1006/gmip.1997.0422
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.304.9284
Well-Composed Sets, Computer Vision and Image Understanding, vol.61, issue.1, pp.70-83, 1995. ,
DOI : 10.1006/cviu.1995.1006
Preserving topology by a digitization process, Journal of Mathematical Imaging and Vision, vol.8, issue.2, pp.131-159, 1998. ,
DOI : 10.1023/A:1008273227913
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
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
Discrete Set-Valued Continuity and Interpolation, Proceedings of the 11th International Symposium on Mathematical Morphology (ISMM), pp.37-48, 2013. ,
DOI : 10.1007/978-3-642-38294-9_4
URL : https://hal.archives-ouvertes.fr/hal-00798574
Inclusion filters: a class of self-dual connected operators, IEEE Transactions on Image Processing, vol.14, issue.11, pp.1736-1746, 2005. ,
DOI : 10.1109/TIP.2005.857251
Topological Well-Composedness and Glamorous Glue: A Digital Gluing Algorithm for Topologically Constrained Front Propagation, IEEE Transactions on Image Processing, vol.20, issue.6, pp.1756-1761, 2011. ,
DOI : 10.1109/TIP.2010.2095021
Morphological filtering in shape spaces: Applications using tree-based image representations, Proceedings of the International Conference on Pattern Recognition (ICPR), pp.485-488, 2012. ,
DOI : 10.1109/tpami.2015.2441070
URL : https://hal.archives-ouvertes.fr/hal-00714847
Tree-Based Morse Regions: A Topological Approach to Local Feature Detection, IEEE Transactions on Image Processing, vol.23, issue.12, pp.5612-5625, 2014. ,
DOI : 10.1109/TIP.2014.2364127
URL : https://hal.archives-ouvertes.fr/hal-01162446