G. Bertrand, M. Couprie, and N. Passat, A note on 3-D simple points and simple-equivalence, Information Processing Letters, vol.109, issue.13, pp.700-704, 2009.
DOI : 10.1016/j.ipl.2009.03.002
URL : https://hal.archives-ouvertes.fr/hal-00622395

D. Coeurjolly, A. Montanvert, and J. Chassery, Géométrie discrète et images numériques, 2007.

A. Dufour, O. Tankyevych, B. Naegel, H. Talbot, C. Ronse et al., Filtering and segmentation of 3D angiographic data: Advances based on mathematical morphology, Medical Image Analysis, vol.17, issue.2, pp.147-164, 2013.
DOI : 10.1016/j.media.2012.08.004
URL : https://hal.archives-ouvertes.fr/hal-01569664

S. Faisan, N. Passat, V. Noblet, R. Chabrier, and C. Meyer, Topology Preserving Warping of 3-D Binary Images According to Continuous One-to-One Mappings, IEEE Transactions on Image Processing, vol.20, issue.8, pp.2135-2145, 2011.
DOI : 10.1109/TIP.2011.2158338
URL : https://hal.archives-ouvertes.fr/hal-01694410

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.685-706, 2012.
DOI : 10.1016/j.patcog.2011.07.017
URL : https://hal.archives-ouvertes.fr/hal-01694409

L. Mazo and N. Passat, On 2-dimensional Simple Sets in n-dimensional Cubic Grids, Discrete & Computational Geometry, vol.55, issue.11, pp.893-913, 2010.
DOI : 10.1016/j.crma.2007.09.001
URL : https://hal.archives-ouvertes.fr/hal-01694414

L. Mazo, N. Passat, M. Couprie, and C. Ronse, Paths, Homotopy and Reduction in Digital Images, Acta Applicandae Mathematicae, vol.55, issue.1, pp.167-193, 2011.
DOI : 10.1090/S0002-9904-1949-09213-3
URL : https://hal.archives-ouvertes.fr/hal-00622495

L. Mazo, N. Passat, M. Couprie, and C. Ronse, Digital Imaging: A Unified Topological Framework, Journal of Mathematical Imaging and Vision, vol.32, issue.9, pp.19-37, 2012.
DOI : 10.1016/j.patrec.2010.09.005
URL : https://hal.archives-ouvertes.fr/hal-00728915

L. Mazo, N. Passat, M. Couprie, and C. Ronse, Topology on Digital Label Images, Journal of Mathematical Imaging and Vision, vol.31, issue.4, pp.254-281, 2012.
DOI : 10.1109/TPAMI.2008.117
URL : https://hal.archives-ouvertes.fr/hal-00727353

B. Naegel and N. Passat, Towards Connected Filtering Based on Component-Graphs, ISMM 2013, 11th International Symposium on Mathematical Morphology, Proceedings, pp.350-361, 2013.
DOI : 10.1007/978-3-642-38294-9_30
URL : https://hal.archives-ouvertes.fr/hal-00782142

L. Najman and H. Talbot, Morphologie mathématique 1 : approches déterministes, 2008.

P. Ngo, Y. Kenmochi, N. Passat, and H. Talbot, Combinatorial structure of rigid transformations in 2D digital images, Computer Vision and Image Understanding, vol.117, issue.4, pp.393-408, 2013.
DOI : 10.1016/j.cviu.2012.08.014
URL : https://hal.archives-ouvertes.fr/hal-00643734

P. Ngo, Y. Kenmochi, N. Passat, and H. Talbot, Sufficient conditions for topological invariance of 2D digital images under rigid transformations, DGCI 2013, 16th International Conference on Discrete Geometry for Computer Imagery, Proceedings, pp.155-168, 2013.

P. Ngo, N. Passat, Y. Kenmochi, and H. Talbot, Well-composed images and rigid transformations, 2013 IEEE International Conference on Image Processing, pp.3035-3039, 2013.
DOI : 10.1109/ICIP.2013.6738625
URL : https://hal.archives-ouvertes.fr/hal-00779262

N. Passat, Approches discrètes pour l'analyse d'images. Thèse d'habilitation à diriger des recherches, 2011.

N. Passat, M. Couprie, and G. Bertrand, Minimal Simple Pairs in the 3-D Cubic Grid, Journal of Mathematical Imaging and Vision, vol.17, issue.1, pp.239-249, 2008.
DOI : 10.1145/321556.321570
URL : https://hal.archives-ouvertes.fr/hal-00622368

N. Passat, M. Couprie, L. Mazo, and G. Bertrand, Topological Properties of Thinning in 2-D Pseudomanifolds, Journal of Mathematical Imaging and Vision, vol.62, issue.5, pp.27-39, 2010.
DOI : 10.1016/j.crma.2007.09.001
URL : https://hal.archives-ouvertes.fr/hal-00622471

N. Passat and L. Mazo, An introduction to simple sets, Pattern Recognition Letters, vol.30, issue.15, pp.1366-1377, 2009.
DOI : 10.1016/j.patrec.2009.07.008
URL : https://hal.archives-ouvertes.fr/hal-01694415

N. Passat and B. Naegel, Component-Hypertrees for Image Segmentation, ISMM 2011, 10th International Symposium on Mathematical Morphology, Proceedings, pp.284-295, 2011.
DOI : 10.1007/3-540-45468-3_92
URL : https://hal.archives-ouvertes.fr/hal-01695041

N. Passat and B. Naegel, Component-Trees and Multivalued Images: Structural Properties, Journal of Mathematical Imaging and Vision, vol.28, issue.2, 2014.
DOI : 10.1007/978-3-642-04611-7
URL : https://hal.archives-ouvertes.fr/inria-00611714

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

H. Talbot and L. Najman, Morphologie mathématique 2 : estimation, choix et mise en oeuvre, 2010.

O. Tankyevych, H. Talbot, and N. Passat, Semi-connections and Hierarchies, ISMM 2013, 11th International Symposium on Mathematical Morphology, Proceedings, pp.157-168, 2013.
DOI : 10.1007/978-3-642-38294-9_14
URL : https://hal.archives-ouvertes.fr/hal-01569689