Axioms and fundamental equations of image processing, Archive for Rational Mechanics and Analysis, vol.11, issue.3, 1993. ,
DOI : 10.1007/BF00375127
Calculus and heat ow on metric measure spaces and applications to spaces with Ricci curvature bounded below, Inventiones mathematicae, vol.195, issue.2, p.289391, 2014. ,
Equivalent denitions of BV space and total variation in metric measure spaces, Journal of Functional Analysis, vol.266, issue.7, p.41504188, 2014. ,
Mathematical morphology: The Hamilton-Jacobi connection, 1993 (4th) International Conference on Computer Vision, p.215219, 1993. ,
DOI : 10.1109/ICCV.1993.378217
Functional Inequalities and HamiltonJacobi Equations in Geodesic Spaces, Potential Analysis, vol.36, issue.2, p.317337, 2012. ,
On Hopf's formulas for solutions of Hamilton-Jacobi equations, Nonlinear Analysis: Theory, Methods & Applications, vol.8, issue.11, p.13731381, 1984. ,
DOI : 10.1016/0362-546X(84)90020-8
Hypercontractivity of HamiltonJacobi equations, J. Math. Pures Appl, vol.80, issue.7, p.669696, 2001. ,
The morphological equivalent of Gaussian scalespace, Proc. of Gaussian Scale-Space Theory, 1997. ,
Highly accurate PDE-based morphology for general structuring elements, Proc. of Scale Space and Variational Methods in Computer Vision, 2009. ,
Metric spaces of non-positive curvature, Grundlehren der mathematischen Wissenschaften, vol.319, 1999. ,
DOI : 10.1007/978-3-662-12494-9
Evolution equations for continuous-scale morphology, [Proceedings] ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing ,
DOI : 10.1109/ICASSP.1992.226260
An approximation scheme for a Hamilton Jacobi equation dened on a network, Applied Numerical Mathematics, vol.73, p.3347, 2013. ,
User's guide to viscosity solutions of second order partial dierential equations, Bulletin of the American Mathematical Society, vol.27, issue.1, p.167, 1992. ,
MULTISCALE IMAGE ANALYSIS BASED ON ROBUST AND ADAPTIVE MORPHOLOGICAL SCALE-SPACES, Image Analysis & Stereology, vol.33, issue.2, p.975728, 2014. ,
DOI : 10.5566/ias.993
URL : https://hal.archives-ouvertes.fr/hal-00975728
Metric HopfLax formula with semicontinuous data. Discrete Contin, Dyn. Syst, vol.17, issue.4, p.713729, 2007. ,
A course in metric geometry, Graduate Studies in Mathematics, vol.33, 2001. ,
DOI : 10.1090/gsm/033
Non-Local Morphological PDEs and <formula formulatype="inline"> <tex Notation="TeX">$p$</tex></formula>-Laplacian Equation on Graphs With Applications in Image Processing and Machine Learning, IEEE Journal of Selected Topics in Signal Processing, vol.6, issue.7, pp.764-779, 2012. ,
DOI : 10.1109/JSTSP.2012.2216504
Weak KAM Theorem in Lagrangian Dynamics. Series: Cambridge Studies in Advanced Mathematics, 2014. ,
Hamilton Jacobi equations on metric spaces and transport entropy inequalities, Revista Matem??tica Iberoamericana, vol.30, issue.1, pp.133-163, 2014. ,
DOI : 10.4171/RMI/772
URL : https://hal.archives-ouvertes.fr/hal-00795829
Numerical discretization of Hamilton-Jacobi equations on networks. Networks and Heterogeneous Media, p.685705, 2013. ,
Scale-space properties of the multiscale morphological dilation-erosion, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.18, issue.1, p.3851, 1996. ,
DOI : 10.1109/34.476009
HamiltonJacobi semigroup on length spaces and applications ,
Slope transforms: theory and application to nonlinear signal processing, IEEE Transactions on Signal Processing, vol.43, issue.4, p.864877, 1995. ,
DOI : 10.1109/78.376839
Dierential morphology and image processing, IEEE Trans. on Image Processing, vol.5, issue.1, p.922937, 1996. ,
Multiscale Morphological Segmentations Based on Watershed, Flooding, and Eikonal PDE, Proc. of Scale-Space'99, p.351362, 1999. ,
DOI : 10.1007/3-540-48236-9_31
Nonlocal PDEs-Based Morphology on Weighted Graphs for Image and Data Processing, IEEE Trans. on Image Processing, vol.20, issue.6, p.15041516, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00708975
Optimal transport. Old and new ,
URL : https://hal.archives-ouvertes.fr/hal-00974787