Eikonal equation adaptation on weighted graphs : fast geometric diffusion process for local and non-local image and data processing, Journal of Mathematical Imaging and Vision, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00932510
Generalized fronts propagation on weighted graphs, Proceedings of Algoritmy 12, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00813422
Pdes-based morphology on graphs for cytological [Bensoussan et Menaldi 03] A. Bensoussan et J.-L. Menaldi : Difference equations on weighted graphs, Convex Anal, vol.12, issue.1, pp.13-44, 2003. ,
Discrete regularization on weighted graphs for image and mesh filtering, Proc. SSVM, pp.128-139, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-00333374
Local and nonlocal discrete regularization on weighted graphs for image and mesh processing, International Journal of Computer Vision, vol.84, pp.220-236, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00333329
An integral solution to surface evolution pdes via geo-cuts, Proc.ECCV, pp.409-422, 2006. ,
Morel : Nonlocal image and movie denoising, Int. J. Comput. Vis, vol.76, pp.123-139, 2008. ,
DOI : 10.1007/s11263-007-0052-1
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.413.5373
Forcadel : A non-monotone fast marching scheme for a hamilton-jacobi equation modelling dislocation dynamics, Numerical Mathematics and Advanced Applications, pp.723-731, 2006. ,
Geodesic active contours An axiomatic approach to image interpolation Monneau : A h ölder infinity laplacian ESAIM : Control Optimisation and Calculus of Variations The digital tv filter and nonlinear denoising Vese : Active contours without edges Spectral Graph Theory Bebis : Shape metamorphism using p-laplacian equation Power watersheds : A unifying graph-based optimization framework, Chambolle et al. 12] A. Chambolle, E. Lindgren et RCoifman et Maggioni 6b] R. R. Coifman et M. Maggioni : Diffusion wavelets ICPRCouprie et al. 11b] C. Couprie, L. Gradyn, L. Najman et H. Talbot : Power watershed : A unifying graph-based optimization frameworkCourant et al. 28] R. Courant, K. Friedrichs et H. Lewy : On the partial difference equations of mathematical physics. Math. Ann, pp.2920-295261, 1928. ,
Watershed cuts : Thinnings, shortest path forests, and topological watersheds, IEEE Trans. Pattern Anal. Mach. Intell, vol.32, issue.5, pp.925-939, 2010. ,
DOI : 10.1109/tpami.2009.71
URL : https://hal.archives-ouvertes.fr/hal-00729346
Uniqueness of ?-harmonic functions and the eikonal equation, Comm. Partial Differential Equations, vol.32, pp.10-12, 2007. ,
Texture synthesis by non-parametric sampling, Proceedings of International Conference on Computer Vision (ICCV), pp.1033-1038, 1999. ,
Elmaghraby : Graph cut optimization for the mumfordshah model, Proc. VIIP, pp.182-187, 2007. ,
Vese : An image decomposition model using the total variations and the infinity laplacian, SPIE, pp.1-10, 2007. ,
Nonlocal discrete regularization on weighted graphs : A framework for image and manifold processing, IEEE Trans. Image Process, vol.17, issue.7, pp.1047-1060, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00163573
Unifying local and nonlocal processing with partial difference operators on weighted graphs, International Workshop on Local and Non-Local Approximation in Image Processing (LNLA), pp.11-26, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00329521
The image foresting transform : Theory, algorithms, and applications, IEEE Trans. Pattern Anal. Mach. Intell, vol.26, pp.19-29, 2004. ,
Keriven : Level set method and the stereo problem. Scale-Space Theory in Computer Vision, pp.272-283, 1997. ,
Gout : Generalized fast marching method : applications to image segmentation, Numerical Algorithms, vol.48, pp.189-211, 2008. ,
Discrete infinity harmonic functions : towards a unified interpolation framework on graphs, Int. Conf. on Image Process. (IEEE), 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00813251
Nonlocal operators with applications to image processing, Multiscale Model. Simul, vol.7, pp.1005-1028, 2008. ,
Alvino : The piecewise smooth mumford-shah functional on an arbitrary graph, IEEE Trans.Image Proc, vol.18, pp.2547-2561, 2009. ,
Discrete Calculus : Applied Analysis on Graphs for Computational Science, 2010. ,
Extrapolation of vector fields using the infinity laplacian and with applications to image segmentation Wavelets on graphs via spectral graph theory, ICSSVMCV, volume LNCS 5567Heijmans et Vincent 92] H. J. A. M. Heijmans et L. Vincent : Graph morphology in image analysis. Mathematical Morphology in Image Processing, pp.87-99129, 1992. ,
Influence of graph construction on graph-based clustering measures, Advances in Neural Information Processing Systems, pp.1025-1032, 2008. ,
An inverse power method for nonlinear eigenproblems with applications in 1- spectral clustering and sparse pca, NIPS, pp.847-855, 2010. ,
Manifold denoising Discrete exterior calculus Oonincx : Second Generation Wavelets and Applications : Relative neighborhood graphs and their relatives A fast iterative method for eikonal equations, Proc. NIPSJansen et Oonincx 05] Proceedings of the IEEE, pp.561-5682512, 1992. ,
The ?-eigenvalue problem [Kawohl 11] D. Kawohl : Variations on the p-laplacian Tannenbaum : Gradient flows and geometric active contour models, Juutinen et Kawohl 06] P. Juutinen et B. Kawohl : On the evolution governed by the infinity laplacian. Matematische AnnalenKichenassamy et al. 95] ICCVKimmel et Sethian 98] R. Kimmel et J. A. Sethian : Computing geodesic paths on manifolds Proc. Natl. Acad. Sci, pp.89-105819, 1995. ,
Spectral clustering in social networks, Advances in Web Mining and Web Usage AnalysisLe Gruyer 05] E. Le Gruyer : On absolutely minimizing lipschitz extensions and pde ? (u) = 0. Nonlinear Differential Equations and Applications, pp.1-2009, 2005. ,
Statistical shape influence in geodesic active contours Leveque : Finite Volume Methods for Hyperbolic Problems Turbopixels : Fast superpixels using geometric flows, IEEE CCVPRLindquist 06] P. Lindquist : Notes on the p-Laplace equation, pp.316-3232290, 2000. ,
Graph regularization for color image processing, Computer Vision and Image Understanding, vol.107, issue.12, pp.38-55, 2007. ,
Shape modeling with front propagation : A level set approach, IEEE Trans. on Pattern Anal. and Machine Intel, vol.17, 1995. ,
Dynamic programming principle for tug-of-war games with noise ,
On the definition and properties of p-harmonious functions, Ann. Sc. Norm. Super. Pisa Cl. Sci ,
Watershed of a continuous function, Signal Processing, vol.38, issue.1, pp.99-112, 1994. ,
URL : https://hal.archives-ouvertes.fr/hal-00622129
Slic (simple line interface calculation), Proc. of Int. Conf. on Fluid Dynamics, pp.330-340, 1976. ,
DOI : 10.1007/3-540-08004-x_336
Sethian : Fronts propagating with curvature dependent speed : Algorithms based on hamilton-jacobi formulations, J ,
Digitized pde method for data restoration, Anal. Comput. Methods. Appl. Math, pp.751-771, 2000. ,
Geodesic active contours for supervised texture segmentation, IEEE CCVPR, 2002. ,
Positive solutions for discrete boundary value problems involving the p-laplacian with potential terms, Comput. Math. Appl, vol.61, pp.17-29, 2011. ,
Tug-of-war and the infinity laplacian ,
Fast sweeping methods for eikonal equations on triangular meshes, SIAM J. Numer. Anal, vol.45, pp.83-107, 2007. ,
Learning a classification model for segmentation, Proc. ICCV, p.10, 2003. ,
Tourin : A viscosity solutions approach to shape-from-shading, SIAM J. Numer. Anal, vol.3, pp.867-884, 1992. ,
Curvature and the evolution of fronts, Comm. in Math. Physics, vol.101, pp.487-499, 1985. ,
Numerical algorithms for propagating interfaces : Hamilton-jacobi equations and conservation laws, J. of Differential Geometry, vol.31, pp.131-161, 1990. ,
Normalized cuts and image segmentation A seeded image segmentation framework unifying graph cuts and random walker which yields a new algorithm Lézoray : Partial difference equations on graphs for mathematical morphology operators overs images and manifolds, Sinop et Grady 07] Proc. ICCV Proc. ICIP, pp.888-905, 2000. ,
Lézoray : Partial difference equations over graphs : Morphological processing of arbitrary discrete data, Proc. ECCV, pp.668-680, 2008. ,
Adaptation of eikonal equation over weighted graphs Graph-based tools for microscopic cellular image segmentation, Proc. SSVM, pp.1113-1125, 2009. ,
Nonlocal pdes-based morphology on weighted graphs for image and data processing [Torre et Poggio 86] V. Torre et T. Poggio : On edge detection Fast sweeping algorithms for a class of hamilton-jacobi equations : Efficient algorithms for globally optimal trajectories, Yuille et Poggio 86] A. L. Yuille et T. A. Poggio : Scaling theorems for zero crossings. IEEE Trans. on Pattern Analysis and Machine Intelligence, pp.1504-1516147, 1986. ,
Regularization of contourdynamicalalgorithms. i. tangentialregularization, J. Comput. Physics, vol.52, pp.351-373, 1984. ,
Schölkopf : Discrete Regularization , chapitre 3 Adaptive computation and machine learning, pp.221-232, 2006. ,