, Nonlocal graph morphology, Proceedings of 9th International Symposium on Mathematical Morphology (Ismm), Abstract Book, pp.5-9, 2009.
, Nonlocal morphological levelings by partial difference equations over weighted graphs, Proceedings of 19th International Conference on Pattern Recognition (Icpr), 2008.
, Partial difference equations over graphs : morphological processing of arbitrary discrete data, Proceedings of 10th European Conference on Computer Vision (Eccv), Lncs 5304, pp.668-680, 2008.
, Partial difference equations on graphs for mathematical morphology operators over images and manifolds, Proceedings of 15th Ieee International Conference on Image Processing (Icip), pp.801-804, 2008.
, Sébastien Bougleux et Vinh-Thong Ta : Unifying local and nonlocal processing with partial difference operators on weighted graphs, Proceedings of the International Workshop on Local
, Abderrahim Elmoataz et Sophie Schüpp : Graph-based tools for microscopic cellular image segmentation, Pattern Recognition, vol.42, issue.6, pp.1113-1125, 2009.
, Nonlocal graph morphology, Proceedings of 9th International Symposium on Mathematical Morphology (Ismm), Abstract Book, pp.5-9, 2009.
, Adaptation of eikonal equation over weighted graphs, Proceedings of 2nd International Conference on Scale Space and Variational Methods in Computer Vision (Ssvm), pp.187-199, 2009.
, Nonlocal morphological levelings by partial difference equations over weighted graphs, Proceedings of 19th International Conference on Pattern Recognition (Icpr), 2008.
, Nonlocal graph regularization for image colorization, 2008 19th International Conference on Pattern Recognition, 2008.
DOI : 10.1109/ICPR.2008.4761617
, Impulse noise removal by spectral clustering and regularization on graphs, 2008 19th International Conference on Pattern Recognition, 2008.
DOI : 10.1109/ICPR.2008.4761401
, Partial difference equations over graphs : morphological processing of arbitrary discrete data, Proceedings of 10th European Conference on Computer Vision (Eccv), Lncs 5304, pp.668-680, 2008.
, Partial difference equations on graphs for mathematical morphology operators overs images and manifolds, Proceedings of 15th Ieee International Conference on Image Processing (Icip), pp.801-804, 2008.
, Unifying local and nonlocal processing with partial difference operators on weighted graphs, Proceedings of the International Workshop on Local and Non-Local Approximation in Image Processing (Lnla), pp.11-26, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00329521
, Learning graph neighborhood topological order for image and manifold morphological processing, 2008 8th IEEE International Conference on Computer and Information Technology, pp.350-355, 2008.
DOI : 10.1109/CIT.2008.4594700
, Graph based semi and unsupervised classification and segmentation of microscopic images, Proceedings of 7th International Symposium on Signal Processing and Information Technology (Isspit), pp.1160-1165, 2007.
, Graphs regularization for data sets and images : Filtering and semi-supervised classification. Dans PASCAL Workshop : Learning from and with graphs, 6th IAPR-TC-15 Workshop on Graph based Representations in Pattern Recognition, 2007.
, Morphologie mathématique sur graphes pondérés de topologie arbitraire. Dans 32ième journée de l'International Society for Stereology ? France (Iss), école des mines Rapports techniques et articles soumis [1] Vinh-Thong Ta, Sébastien Bougleux, Abderrahim Elmoataz et Olivier Lézoray : Nonlocal anisotropic discrete regularization for image, data filtering and clustering, Journées nationales sans comités de lecture ni actes, 2007.
, Mathematical morphology and eikonal equations on graphs for nonlocal image and data processing, 2009.
, Numerical discretization of the first-order Hamilton-Jacobi equation on triangular meshes, Communications on Pure and Applied Mathematics, vol.49, issue.12, pp.1339-1373, 1996.
DOI : 10.1002/(SICI)1097-0312(199612)49:12<1339::AID-CPA5>3.0.CO;2-B
, Axioms and fundamental equations of image processing, Archive for Rational Mechanics and Analysis, vol.11, issue.3, pp.199-257, 1993.
DOI : 10.1007/BF00375127
, Unified Morphological Color Processing Framework in a Lum/Sat/Hue Representation, Proceedings of International Symposium on Mathematical Morphology (Ismm), pp.387-396, 2005.
DOI : 10.1007/1-4020-3443-1_35
, From Scalar-Valued Images to Hypercomplex Representations and Derived Total Orderings for Morphological Operators, the Proceedings of International Symposium on Mathematical Morphology (Ismm), pp.238-249, 2009.
DOI : 10.1016/j.jvcir.2006.10.002
URL : https://hal.archives-ouvertes.fr/hal-00834036
, A comparative study on multivariate mathematical morphology, Pattern Recognition, vol.40, issue.11, pp.40-2914, 2007.
DOI : 10.1016/j.patcog.2007.02.004
URL : https://hal.archives-ouvertes.fr/hal-00512660
, Energy Partitions and Image Segmentation, Journal of Mathematical Imaging and Vision, vol.20, issue.1/2, pp.43-57, 2004.
DOI : 10.1023/B:JMIV.0000011318.77653.44
, Mathematical morphology: The Hamilton-Jacobi connection, 1993 (4th) International Conference on Computer Vision, pp.215-219, 1993.
DOI : 10.1109/ICCV.1993.378217
, UCI machine learning repository, 2007.
, Mathematical Problems in Image Processing : Partial Differential Equations and the Calculus of Variations, de Applied Mathematical Sciences, 2006.
, Fundamental relationship between bilateral filtering, adaptive smoothing, and the nonlinear diffusion equation, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.24, issue.6, pp.844-847, 2002.
DOI : 10.1109/TPAMI.2002.1008390
, Laplacian Eigenmaps for Dimensionality Reduction and Data Representation, Neural Computation, vol.15, issue.6, pp.1373-1396, 2003.
DOI : 10.1126/science.290.5500.2319
, Manifold regularization : A geometric framework for learning from labeled and unlabeled examples, Journal of Machine Learning Research, vol.7, pp.2399-2434, 2006.
, Fast Object Segmentation by Growing Minimal Paths from??a??Single Point on 2D or 3D Images, Journal of Mathematical Imaging and Vision, vol.16, issue.1, p.183, 2009.
DOI : 10.1007/s10851-008-0131-0
, Difference equations on weighted graphs, Journal of Convex Analysis, vol.12, issue.1, pp.13-44, 2003.
, Reconstruction, Détection et Régularisation de Données Discrètes, Thèse de doctorat, 2007.
, Image Smoothing and Segmentation by Graph Regularization, Proceedings of International Symposium on Visual Computing (Iscv), pp.745-752, 2005.
DOI : 10.1007/11595755_95
URL : https://hal.archives-ouvertes.fr/hal-00333551
, Discrete Regularization on Weighted Graphs for Image and Mesh Filtering, Proceedings of International Conference on Scale Space and Variational Methods in Computer Vision (Ssvm), pp.128-139, 2007.
DOI : 10.1007/978-3-540-72823-8_12
URL : https://hal.archives-ouvertes.fr/hal-00333374
, Local and nonlocal discrete regularization on weighted graphs for image and mesh processing Special Issue of SSVM, International Journal of Computer Vision, vol.83, issue.2, pp.220-236, 2007.
, Interactive graph cuts for optimal boundary & region segmentation of objects in N-D images, Proceedings Eighth IEEE International Conference on Computer Vision. ICCV 2001, pp.105-112, 2001.
DOI : 10.1109/ICCV.2001.937505
, Computing geodesics and minimal surfaces via graph cuts, Proceedings Ninth IEEE International Conference on Computer Vision, pp.26-33, 2003.
DOI : 10.1109/ICCV.2003.1238310
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.123.6433
, An experimental comparison of min-cut/max- flow algorithms for energy minimization in vision, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.26, issue.9, pp.1124-1137, 2004.
DOI : 10.1109/TPAMI.2004.60
, Fast approximate energy minimization via graph cuts, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.23, issue.11, pp.1222-1239, 2001.
DOI : 10.1109/34.969114
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.112.6806
, Non-local unsupervised variational image segmentation models, 2008.
, Anisotropic continuous-scale morphology, Proceedings of Iberian Conference on Pattern Recognition and Image Analysis Ibpria, pp.515-522, 2007.
, A Shock-Capturing Algorithm for the Differential Equations of Dilation and Erosion, Journal of Mathematical Imaging and Vision, vol.135, issue.12, pp.187-201, 2006.
DOI : 10.1007/s10851-006-9696-7
, Evolution equations for continuous-scale morphology, [Proceedings] ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing, pp.125-128, 1992.
DOI : 10.1109/ICASSP.1992.226260
, Evolution equations for continuous-scale morphological filtering, IEEE Transactions on Signal Processing, vol.42, issue.12, pp.42-3377, 1994.
DOI : 10.1109/78.340774
URL : http://dspace.lib.ntua.gr/handle/123456789/23797
, Weighted distance maps computation on parametric three-dimensional manifolds, Journal of Computational Physics, vol.225, issue.1, 2007.
DOI : 10.1016/j.jcp.2007.01.009
, Efficient Nonlocal Means for Denoising of Textural Patterns, IEEE Transactions on Image Processing, vol.17, issue.7, pp.17-1083, 2008.
DOI : 10.1109/TIP.2008.924281
, Nonlocal Image and Movie Denoising, International Journal of Computer Vision, vol.14, issue.1, pp.123-139, 2008.
DOI : 10.1007/s11263-007-0052-1
URL : https://hal.archives-ouvertes.fr/hal-00271147
, Spectral clustering based on the graph p-laplacian, Proceedings of International Conference on Machine Learning (Icml), pp.81-88, 2009.
, Projected Gradient Flows for BV/Level Set Relaxation, Proceedings of Applied Mathematics and Mechanics, pp.11-14, 2005.
DOI : 10.1002/pamm.200510004
, Morphology for matrix data: Ordering versus PDE-based approach, Image and Vision Computing, vol.25, issue.4, pp.496-511, 2007.
DOI : 10.1016/j.imavis.2006.06.002
, Convergence of a Generalized Fast-Marching Method for an Eikonal Equation with a Velocity-Changing Sign, SIAM Journal on Numerical Analysis, vol.46, issue.6, pp.46-2920, 2008.
DOI : 10.1137/06067403X
, An algorithm for total variation minimization and applications, Journal of Mathematical Imaging and Vision, vol.20, issue.1 2, pp.89-97, 2004.
, Total Variation Minimization and a Class of Binary MRF Models, Proceedings of Energy Minimization Methods in in Computer Vision and Pattern Recognition Emmcvpr, pp.136-152, 2005.
DOI : 10.1007/11585978_10
, Function Approximation, SIAM Journal on Applied Mathematics, vol.65, issue.5, pp.1817-1837, 2005.
DOI : 10.1137/040604297
, Image processing and analysis : variational, PDE, wavelet, and stochastic methods, 2005.
, Active contours without edges, IEEE Transactions on Image Processing, vol.10, issue.2, pp.266-277, 2001.
DOI : 10.1109/83.902291
, Semi- Supervised Learning, 2006.
DOI : 10.7551/mitpress/9780262033589.001.0001
, Spetral Graph Theory, CBMS Regional Conference Series in Mathematics, 1997.
, Global minimum for active contour models: a minimal path approach, Proceedings CVPR IEEE Computer Society Conference on Computer Vision and Pattern Recognition, pp.57-78, 1997.
DOI : 10.1109/CVPR.1996.517144
, Geometric diffusions as a tool for harmonic analysis and and structure definition of data, Proceedings of the National Academy of Sciences, pp.7426-7432, 2005.
, Power watersheds: A new image segmentation framework extending graph cuts, random walker and optimal spanning forest, 2009 IEEE 12th International Conference on Computer Vision, 2009.
DOI : 10.1109/ICCV.2009.5459284
URL : https://hal.archives-ouvertes.fr/hal-00622409
, Watershed Cuts: Minimum Spanning Forests and the Drop of Water Principle, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.31, issue.8, pp.31-1362, 2009.
DOI : 10.1109/TPAMI.2008.173
URL : https://hal.archives-ouvertes.fr/hal-00622410
, Some Morphological Operators in Graph Spaces, the Proceedings of International Symposium on Mathematical Morphology (Ismm), pp.149-160, 2009.
DOI : 10.1016/j.patrec.2008.03.019
URL : https://hal.archives-ouvertes.fr/hal-00622403
, Viscosity solutions: A primer, pp.1-43, 1995.
DOI : 10.1017/S0308210500026512
, user's guide to viscosity solutions\\ of second order\\ partial
differential equations, Bulletin of the American Mathematical Society, vol.27, issue.1, pp.1-67, 1992.
DOI : 10.1090/S0273-0979-1992-00266-5
, Viscosity solutions of Hamilton-Jacobi equations, Transactions of the American Mathematical Society, vol.277, issue.1, pp.1-42, 1983.
DOI : 10.1090/S0002-9947-1983-0690039-8
, Euclidean distance mapping, Computer Graphics and Image Processing, vol.14, issue.3, pp.227-248, 1980.
DOI : 10.1016/0146-664X(80)90054-4
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.322.7605
, A note on the dicerete binary mumford-shah model, Proceedings of Computer Vision/Computer Graphics Collaboration TechniquesMirage), pp.283-294, 2007.
, Fast nonlocal filetering applied to electron cryomicroscopy, the Proceedings of the IEEE International Symposium on Biomedical Imaging (Isbi), pp.1331-1334, 2008.
DOI : 10.1109/isbi.2008.4541250
, Exact optimization of discrete constrained total variation minimization problems, Proceedings of International Workshop on Combinatorial Image Analysis (Iwcia), pp.548-557, 2005.
, Fast extraction of minimal paths in 3d images and application to virtual endoscopy, Medical Image Analysis, vol.5, issue.4, 2001.
, Graph Theory, volume 173 de Graduate Texts in Mathematics, 2005.
, Non-local Regularization of Inverse Problems, Proceedings of 10th ECCV 2008, pp.57-68, 2008.
DOI : 10.1007/978-3-540-88690-7_5
, A Directional Rouy-Tourin Scheme for Adaptive Matrix-Valued Morphology, the Proceedings of International Symposium on Mathematical Morphology (Ismm), pp.102-114, 2009.
DOI : 10.1016/j.imavis.2006.06.002
, Cluster analysis by binary morphology, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.15, issue.2, pp.170-180, 1993.
DOI : 10.1109/34.192490
, Learning a classification model for segmentation, Proceedings of International Conference on Computer Vision (Iccv), pp.10-17, 2003.
, Morphological gradients, Nonlinear Image Processing III, pp.326-336, 1993.
DOI : 10.1117/12.58373
, Why mathematical morphology needs complete lattices, Signal Processing, vol.21, issue.2, pp.129-154, 1990.
DOI : 10.1016/0165-1684(90)90046-2
, Reversible interpolation of vectorial images by anisotropic diffusion-projection pde, International Journal of Computer Vision, vol.83, issue.2, 2009.
, A viscosity solutions approach to shape-from-shading, SIAM Journal on Numerical Analysis, vol.3, pp.867-884, 1992.
, Nonlinear total variation based noise removal algorithms, Physica D: Nonlinear Phenomena, vol.60, issue.1-4, pp.1-4, 1992.
DOI : 10.1016/0167-2789(92)90242-F
, The Image Processing Handbook, 2007.
, 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=10.1.1.17.9460
, Geometric Partial Differential Equations and Image Processing, 2001.
, Implementing continuous-scale morphology via curve evolution, Pattern Recognition, vol.26, issue.9, pp.1363-1372, 1993.
DOI : 10.1016/0031-3203(93)90142-J
, Fast Statistical Level Sets Image Segmentation for Biomedical Applications, Proceedings of Scale-Space and Morphology in Computer Vision, pp.380-388, 2001.
DOI : 10.1007/3-540-47778-0_36
, Échantillonage et estimation des phénomènes de transition minier, Thèse de doctorat, 1967.
, Image Analysis and Mathematical Morphology, 1982.
, Computer-aided prognosis of neuroblastoma on whole-slide images: Classification of stromal development, Pattern Recognition, vol.42, issue.6, pp.1093-1103, 2009.
DOI : 10.1016/j.patcog.2008.08.027
, A fast marching level set method for monotonically advancing fronts., Proc. Nar. Acad. Sci, pp.199-235, 1999.
DOI : 10.1073/pnas.93.4.1591
, Level Set Methods and Fast Marching Methods : Evolving Interfaces in Computational Geometry, Fluid Mechanics, 1999.
, Ordered Upwind Methods for Static Hamilton--Jacobi Equations: Theory and Algorithms, SIAM Journal on Numerical Analysis, vol.41, issue.1, pp.325-363, 2003.
DOI : 10.1137/S0036142901392742
, Fusion of perceptual cues for robust tracking of head pose and position, Pattern Recognition, vol.34, issue.8, pp.1565-1572, 2001.
DOI : 10.1016/S0031-3203(00)00091-1
, Normalized cuts and image segmentation, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.22, issue.8, pp.888-905, 2000.
, HIGH ORDER NUMERICAL METHODS FOR TIME DEPENDENT HAMILTON-JACOBI EQUATIONS, Mathematics and Computation in Imaging Science and Information Processing, vol.11, pp.47-91, 2007.
DOI : 10.1142/9789812709066_0002
, High order weno schemes for hamilton-jacobi equations on triangular meshes, SIAM J. Scien. Comp, vol.24, pp.1005-1030, 2003.
, Geometric shockcapturing eno schemes for subpixel interpolation, computation and curve evolution, Graphical Models and Image Processing, issue.5, pp.59-278, 1997.
, Wavelet-based multiscale texture segmentation: Application to stromal compartment characterization on virtual slides, Signal Processing, vol.90, issue.8, 2009.
DOI : 10.1016/j.sigpro.2009.11.008
URL : https://hal.archives-ouvertes.fr/hal-00805756
, A Seeded Image Segmentation Framework Unifying Graph Cuts And Random Walker Which Yields A New Algorithm, 2007 IEEE 11th International Conference on Computer Vision, pp.1-8, 2007.
DOI : 10.1109/ICCV.2007.4408927
, Susan -a new approach to low level image processing, International Journal of Computer Vision, vol.23, issue.1, pp.45-78, 1997.
DOI : 10.1023/A:1007963824710
, Morphological Image Analysis, Principles and Applications, 2002.
, Regularization on graphs with function-adapted diffusion processes, Journal of Machine Learning Research, vol.9, pp.1711-1739, 2008.
, Nonlocal anisotropic discrete regularization for image, data filtering and clustering, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00187165
, Preimage as karcher mean using diffusion maps : Application to shape and image denoising, Proceedings of International Conference on Scale Space and Variational Methods in Computer Vision (Ssvm), pp.721-732, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00834952
, Solutions of Ill-Posed Problems, 1977.
, Bilateral filtering for gray and color images, Sixth International Conference on Computer Vision (IEEE Cat. No.98CH36271), pp.839-846, 1998.
DOI : 10.1109/ICCV.1998.710815
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.126.2091
, Fast Sweeping Algorithms for a Class of Hamilton--Jacobi Equations, SIAM Journal on Numerical Analysis, vol.41, issue.2, pp.41-673, 2004.
DOI : 10.1137/S0036142901396533
, Total variation and level set methods in image science, Acta Numerica, vol.14, pp.509-573, 2005.
DOI : 10.1017/S0962492904000273
, Lissage non local d'images multivaluées par diffusion anisotrope dans l'espace des patches, Groupe de recherche sur le traitement du signal et des Images (Gretsi), 2009.
, Vector-valued image regularization with PDEs: a common framework for different applications, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.27, issue.4, pp.506-517, 2005.
DOI : 10.1109/TPAMI.2005.87
, Efficient algorithms for globally optimal trajectories, IEEE Transactions on Automatic Control, vol.40, issue.9, pp.1528-1538, 1995.
DOI : 10.1109/9.412624
, The mophological structure of images : the differential equations of morphological scale-space, IEEE Transactions on Pattern Analysis and Machine Intelligence, issue.11, pp.16-1101, 1994.
, Shading from shape, the eikonal equation solved by grey-weighted distance transform, Pattern Recognition Letters, vol.11, issue.10, pp.11-681, 1990.
DOI : 10.1016/0167-8655(90)90102-8
, Morphological gray scale reconstruction in image analysis : Applications and efficient algorithms, IEEE Transactions on Image Processing, vol.2, issue.2, 1993.
, Watersheds in digital spaces: an efficient algorithm based on immersion simulations, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.13, issue.6, pp.583-598, 1991.
DOI : 10.1109/34.87344
, A tutorial on spectral clustering, Statistics and Computing, vol.21, issue.1, pp.395-416, 2007.
DOI : 10.1007/s11222-007-9033-z
, Anisotropic Diffusion in Image Processing, 1998.
, Fast image and video colorization using chrominance blending, IEEE Transactions on Image Processing, vol.15, issue.5, pp.1120-1129, 2006.
DOI : 10.1109/TIP.2005.864231
, Segmentation given partial grouping constraints, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.26, issue.2, pp.173-183, 2004.
DOI : 10.1109/tpami.2004.1262179
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.387.2967
, High Order Fast Sweeping Methods for Static Hamilton???Jacobi Equations, Journal of Scientific Computing, vol.80, issue.1, pp.25-56, 2006.
DOI : 10.1007/s10915-005-9014-3
, A fast sweeping method for Eikonal equations, Mathematics of Computation, vol.74, issue.250, pp.603-627, 2005.
DOI : 10.1090/S0025-5718-04-01678-3
, A regularization framework for learning from graph data, Proceedings of International Conference on Machine Learning 2004 Workshop on Statistical Relational Learning and Its Connections to Other Fields, pp.132-137, 2004.
, Discrete Regularization, chapitre 3 Adaptive computation and machine learning, pp.221-232, 2006.
, Semi-supervised learning literature survey, 2008.
, 107 Segmentation d'images, p.111
, 130 Nivellements basés sur les équations aux dérivées partielles, p.130
, 141 Traitements morphologiques de collections d'images, p.143