SLIC Superpixels Compared to State-of-the-Art Superpixel Methods, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.34, issue.11, pp.2274-2282, 2012. ,
DOI : 10.1109/TPAMI.2012.120
Reconstructing Rome, Computer, vol.43, issue.6, pp.40-47, 2010. ,
DOI : 10.1109/MC.2010.175
Barycenters in the Wasserstein Space, SIAM Journal on Mathematical Analysis, vol.43, issue.2, pp.904-924, 2011. ,
DOI : 10.1137/100805741
URL : https://hal.archives-ouvertes.fr/hal-00637399
A linear programming approach for the weighted graph matching problem, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.15, issue.5, pp.522-525, 1993. ,
DOI : 10.1109/34.211474
Gradient flows: in metric spaces and in the space of probability measures, 2006. ,
Minimizing Flows for the Monge--Kantorovich Problem, SIAM Journal on Mathematical Analysis, vol.35, issue.1, pp.61-97, 2003. ,
DOI : 10.1137/S0036141002410927
URL : http://iie.fing.edu.uy/investigacion/grupos/gti/seminario/simposio/tannembaum/mk_final.pdf
Studies in linear and non-linear programming, 1958. ,
Convergence of descent methods for semialgebraic and tame problems: proximal algorithms, forward?backward splitting, and regularized gauss?seidel methods, Mathematical Programming, pp.91-129, 2013. ,
DOI : 10.1007/s10107-011-0484-9
URL : https://hal.archives-ouvertes.fr/hal-00790042
Image Segmentation Using Active Contours: Calculus of Variations or Shape Gradients?, SIAM Journal on Applied Mathematics, vol.63, issue.6, pp.2128-2154, 2003. ,
DOI : 10.1137/S0036139902408928
URL : https://hal.archives-ouvertes.fr/hal-00964649
Mathematical Problems in Image Processing, Applied Mathematical Sciences, vol.147, 2002. ,
Wavelet-based level set evolution for classification of textured images, IEEE Transactions on Image Processing, vol.12, issue.12, pp.1634-1641, 2003. ,
DOI : 10.1109/TIP.2003.819309
URL : https://hal.archives-ouvertes.fr/hal-00202004
Minkowski-type theorems and least-squares partitioning, Proceedings of the eighth annual symposium on Computational geometry , SCG '92, pp.350-357, 1992. ,
DOI : 10.1145/142675.142747
Graph cut segmentation with a global constraint: Recovering region distribution via a bound of the Bhattacharyya measure, 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, pp.3288-3295, 2010. ,
DOI : 10.1109/CVPR.2010.5540045
Convex Analysis and Monotone Operator Theory in Hilbert Spaces, 2011. ,
DOI : 10.1007/978-1-4419-9467-7
URL : https://hal.archives-ouvertes.fr/hal-01517477
A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems, SIAM Journal on Imaging Sciences, vol.2, issue.1, pp.183-202, 2009. ,
DOI : 10.1137/080716542
URL : http://ie.technion.ac.il/%7Ebecka/papers/finalicassp2009.pdf
Shape matching and object recognition using shape contexts, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.24, issue.4, pp.509-522, 2002. ,
DOI : 10.1109/34.993558
URL : http://www.isi.uu.nl/Meetings/../TGV/Belo01a.pdf
Weak Existence for the Semigeostrophic Equations Formulated as a Coupled Monge--Amp??re/Transport Problem, SIAM Journal on Applied Mathematics, vol.58, issue.5, pp.1450-1461, 1998. ,
DOI : 10.1137/S0036139995294111
A Domain Decomposition Method for the Polar Factorization of Vector-Valued Mappings, SIAM Journal on Numerical Analysis, vol.32, issue.6, pp.1808-1838, 1995. ,
DOI : 10.1137/0732082
A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem, Numerische Mathematik, vol.84, issue.3, pp.375-393, 2000. ,
DOI : 10.1007/s002110050002
Mixed L 2-Wasserstein Optimal Mapping Between Prescribed Density Functions, Journal of Optimization Theory and Applications, vol.44, issue.2, pp.255-271, 2001. ,
DOI : 10.1002/9781118032954
Iterative Bregman Projections for Regularized Transportation Problems, SIAM Journal on Scientific Computing, vol.37, issue.2, pp.1111-1138, 2015. ,
DOI : 10.1137/141000439
URL : https://hal.archives-ouvertes.fr/hal-01096124
Discretization of functionals involving the Monge-Amp\'ere operator, 2014. ,
Numerical solution of the optimal transportation problem via viscosity solutions for the Monge-Ampère equation, 2012. ,
Numerical solution of the Optimal Transportation problem using the Monge???Amp??re equation, Journal of Computational Physics, vol.260, pp.107-126, 2014. ,
DOI : 10.1016/j.jcp.2013.12.015
The auction algorithm: A distributed relaxation method for the assignment problem, Annals of Operations Research, vol.5, issue.1, pp.105-123, 1988. ,
DOI : 10.1007/BF02186476
Weighted ensemble transform kalman filter for image assimilation. Tellus A: Dynamic Meteorology and Oceanography, 2013. ,
DOI : 10.3402/tellusa.v65i0.18803
URL : https://hal.archives-ouvertes.fr/hal-00793804
Geodesic PCA in the Wasserstein space, 2013. ,
DOI : 10.1214/15-aihp706
URL : https://hal.archives-ouvertes.fr/hal-01581699
Consistent estimation of a population barycenter in the wasserstein space, 2012. ,
Interactive Image Segmentation Using an Adaptive GMMRF Model, European Conference on Computer Vision, 2004. ,
DOI : 10.1007/978-3-540-24670-1_33
Proximal alternating linearized minimization for nonconvex and nonsmooth problems, Mathematical Programming, pp.459-494, 2014. ,
DOI : 10.1007/BF01584660
URL : https://hal.archives-ouvertes.fr/hal-00916090
Faster and specialized c++ implementation of "optimal transport with proximal splitting, 2013. ,
Sliced and Radon Wasserstein Barycenters of Measures, Journal of Mathematical Imaging and Vision, vol.11, issue.1, pp.22-45, 2015. ,
DOI : 10.1023/A:1018366000512
URL : https://hal.archives-ouvertes.fr/hal-00881872
Example-based video color grading, ACM Transactions on Graphics, vol.32, issue.4, pp.1-3912, 2013. ,
DOI : 10.1145/2461912.2461939
URL : http://people.seas.harvard.edu/~nbonneel/videostyle.pdf
Displacement interpolation using Lagrangian mass transport, Proceedings of SIGGRAPH Asia, p.30, 2011. ,
DOI : 10.1145/2070781.2024192
URL : https://hal.archives-ouvertes.fr/hal-00763270
Finite-element Discretization of Static Hamilton-Jacobi Equations based on a Local Variational Principle, Computing and Visualization in Science, vol.40, issue.9, pp.57-69, 2006. ,
DOI : 10.1515/9781400873173
On the convergence rate improvement of a primal-dual splitting algorithm for solving monotone inclusion problems, 2013. ,
Numerical solution of the ,
URL : https://hal.archives-ouvertes.fr/hal-00946252
Multiphysics optimal transportation and image analysis, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00740671
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
Polar factorization and monotone rearrangement of vector-valued functions, Communications on Pure and Applied Mathematics, vol.117, issue.4, pp.375-417, 1991. ,
DOI : 10.1002/cpa.3160440402
Completely Convex Formulation of the Chan-Vese Image Segmentation Model, International Journal of Computer Vision, vol.26, issue.2, pp.103-121, 2012. ,
DOI : 10.1007/BF02592050
Unsupervised Segmentation Incorporating Colour, Texture, and Motion, Computer Analysis of Images and Patterns, pp.353-360, 2003. ,
DOI : 10.1007/978-3-540-45179-2_44
URL : https://hal.archives-ouvertes.fr/inria-00071826
Level Set Segmentation With Multiple Regions, IEEE Transactions on Image Processing, vol.15, issue.10, pp.3213-3218, 2006. ,
DOI : 10.1109/TIP.2006.877481
URL : http://www.cs.berkeley.edu/%7Ebrox/pub/brox_pp145.pdf
4D imaging in tomography and optical nanoscopy, 2010. ,
Regularized Regression and Density Estimation based on Optimal Transport, Applied Mathematics Research eXpress, 2011. ,
DOI : 10.1093/amrx/abs007
An Optimization Problem for Mass Transportation with Congested Dynamics, SIAM Journal on Control and Optimization, vol.48, issue.3, pp.1961-1976, 2009. ,
DOI : 10.1137/07070543X
URL : https://hal.archives-ouvertes.fr/hal-00385145
Geodesics for a class of distances in the space of probability measures, Calculus of Variations and Partial Differential Equations, vol.39, issue.1, pp.1-26, 2012. ,
DOI : 10.2140/pjm.1971.39.439
URL : https://hal.archives-ouvertes.fr/hal-00686908
Numerical methods for matching for teams and Wasserstein barycenters, ESAIM: Mathematical Modelling and Numerical Analysis, vol.49, issue.6, 2014. ,
DOI : 10.1007/978-3-540-71050-9
URL : https://hal.archives-ouvertes.fr/hal-00987292
Numerical Simulation of Diffusive and Aggregation Phenomena in Nonlinear Continuity Equations by Evolving Diffeomorphisms, SIAM Journal on Scientific Computing, vol.31, issue.6, pp.314305-4329, 2010. ,
DOI : 10.1137/080739574
Accounting for observation errors in image data assimilation. Tellus A: Dynamic Meteorology and Oceanography , 67:19, 2015. [53] A. Chambolle. An algorithm for mean curvature motion. Interfaces and Free Boundaries, Mathematical Modelling, Analysis and Computation, vol.6, issue.2, pp.195-218, 2004. ,
DOI : 10.3402/tellusa.v67.23629
URL : https://hal.archives-ouvertes.fr/hal-00984508
On Total Variation Minimization and Surface Evolution Using Parametric Maximum Flows, International Journal of Computer Vision, vol.40, issue.9, pp.288-307, 2009. ,
DOI : 10.1006/jctb.2000.1989
URL : https://link.springer.com/content/pdf/10.1007%2Fs11263-009-0238-9.pdf
On the Convergence of the Iterates of the ???Fast Iterative Shrinkage/Thresholding Algorithm???, Journal of Optimization Theory and Applications, vol.155, issue.2, pp.968-982, 2015. ,
DOI : 10.1007/978-1-4419-9467-7
A First-Order Primal-Dual Algorithm for Convex Problems with??Applications to Imaging, Journal of Mathematical Imaging and Vision, vol.60, issue.5, pp.120-145, 2011. ,
DOI : 10.1007/978-3-540-74936-3_22
URL : https://hal.archives-ouvertes.fr/hal-00490826
On the ergodic convergence rates of a first-order primal???dual algorithm, Mathematical Programming, pp.1-35, 2015. ,
DOI : 10.1007/s10444-011-9254-8
URL : https://hal.archives-ouvertes.fr/hal-01151629
Active contours without edges, IEEE Transactions on Image Processing, vol.10, issue.2, pp.266-277, 2001. ,
DOI : 10.1109/83.902291
URL : http://www.math.ucla.edu/~lvese/PAPERS/IEEEIP2001.pdf
Projection onto a simplex, 2011. ,
An Interpolating Distance between Optimal Transport and Fischer-Rao, 2015. ,
DOI : 10.1007/s10208-016-9331-y
Unbalanced Optimal Transport: Geometry and Kantorovich Formulation, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01271981
A block coordinate variable metric forward???backward algorithm, Journal of Global Optimization, vol.6, issue.3, 2014. ,
DOI : 10.1137/120887795
URL : https://hal.archives-ouvertes.fr/hal-00945918
Optimal extended optical flow subject to a statistical constraint, Journal of Computational and Applied Mathematics, vol.234, issue.4, pp.1291-1302, 2010. ,
DOI : 10.1016/j.cam.2009.10.014
URL : https://hal.archives-ouvertes.fr/hal-00443196
A Douglas???Rachford Splitting Approach to Nonsmooth Convex Variational Signal Recovery, IEEE Journal of Selected Topics in Signal Processing, vol.1, issue.4, pp.564-574, 2007. ,
DOI : 10.1109/JSTSP.2007.910264
URL : https://hal.archives-ouvertes.fr/hal-00621820
Proximal Splitting Methods in Signal Processing, Fixed-Point Algorithms for Inverse Problems in Science and Engineering, pp.185-212, 2011. ,
DOI : 10.1007/978-1-4419-9569-8_10
URL : https://hal.archives-ouvertes.fr/hal-00643807
A Primal???Dual Splitting Method for Convex Optimization Involving Lipschitzian, Proximable and Linear Composite Terms, Journal of Optimization Theory and Applications, vol.23, issue.1???2, pp.460-479, 2013. ,
DOI : 10.1081/NFA-120003674
URL : https://hal.archives-ouvertes.fr/hal-00609728
A mass-transportation approach to sharp Sobolev and Gagliardo???Nirenberg inequalities, Advances in Mathematics, vol.182, issue.2, pp.307-332, 2004. ,
DOI : 10.1016/S0001-8708(03)00080-X
URL : https://hal.archives-ouvertes.fr/hal-00157943
Pressure image assimilation for atmospheric motion estimation. Tellus A: Dynamic Meteorology and Oceanography, pp.160-178, 2009. ,
URL : https://hal.archives-ouvertes.fr/inria-00273838
Dense estimation of fluid flows, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.24, issue.3, pp.365-380, 2002. ,
DOI : 10.1109/34.990137
URL : https://hal.archives-ouvertes.fr/hal-00329724
Domain Adaptation with Regularized Optimal Transport, Machine Learning and Knowledge Discovery in Databases, pp.274-289, 2014. ,
DOI : 10.1007/978-3-662-44848-9_18
URL : https://hal.archives-ouvertes.fr/hal-01018698
A Review of Statistical Approaches to Level Set Segmentation: Integrating Color, Texture, Motion and Shape, International Journal of Computer Vision, vol.18, issue.9, p.215, 2007. ,
DOI : 10.1090/conm/313/05378
Geodesic image and video editing, ACM Transactions on Graphics, vol.29, issue.5, pp.1-134, 2010. ,
DOI : 10.1145/1857907.1857910
URL : http://research.microsoft.com/pubs/81528/Criminisi_ACM_TOG2010.pdf
Sinkhorn distances: Lightspeed computation of optimal transport, Conference on Neural Information Processing Systems (NIPS'13), pp.2292-2300, 2013. ,
Ground metric learning, Journal of Machine Learning Research, vol.15, issue.1, pp.533-564, 2014. ,
Fast computation of wasserstein barycenters, International Conference on Machine Learning (ICML'14), pp.685-693, 2014. ,
A Smoothed Dual Approach for Variational Wasserstein Problems, SIAM Journal on Imaging Sciences, vol.9, issue.1, 2015. ,
DOI : 10.1137/15M1032600
URL : https://hal.archives-ouvertes.fr/hal-01188954
Linear Programming and Extensions, 1963. ,
DOI : 10.1515/9781400884179
An Optimal Transport Approach to Robust Reconstruction and Simplification of 2D Shapes, Computer Graphics Forum, vol.26, issue.3, pp.1593-1602, 2011. ,
DOI : 10.1007/s00371-009-0395-4
URL : https://hal.archives-ouvertes.fr/hal-00758019
An augmented Lagrangian approach to the numerical solution of the dirichlet problem for the elliptic Monge-Ampère equation in two dimensions, Electronic Transactions on Numerical Analysis, vol.22, pp.71-96, 2006. ,
Shapes and geometries: analysis, differential calculus , and optimization, Society for Industrial and Applied Mathematics, 2001. ,
DOI : 10.1137/1.9780898719826
Midway Image Equalization, Journal of Mathematical Imaging and Vision, vol.21, issue.2, pp.119-134, 2004. ,
DOI : 10.1023/B:JMIV.0000035178.72139.2d
URL : https://hal.archives-ouvertes.fr/hal-01338124
Movie and video scale-time equalization application to flicker reduction, IEEE Transactions on Image Processing, vol.15, issue.1, pp.241-248, 2006. ,
DOI : 10.1109/TIP.2005.860328
Local Matching Indicators for Transport Problems with Concave Costs, SIAM Journal on Discrete Mathematics, vol.26, issue.2, pp.801-827, 2012. ,
DOI : 10.1137/110823304
URL : https://hal.archives-ouvertes.fr/hal-00525994
Feature-Preserving Surface Reconstruction and Simplification from Defect-Laden Point Sets, Journal of Mathematical Imaging and Vision, vol.40, issue.2, pp.369-382, 2014. ,
DOI : 10.1023/A:1026543900054
URL : https://hal.archives-ouvertes.fr/hal-00706712
A new class of transport distances between measures, Calculus of Variations and Partial Differential Equations, vol.25, issue.9, pp.193-231, 2009. ,
DOI : 10.2140/pjm.1968.25.597
URL : https://hal.archives-ouvertes.fr/hal-00262455
A simple algorithm for a class of nonsmooth convex???concave saddle-point problems, Operations Research Letters, vol.43, issue.2, pp.209-214, 2015. ,
DOI : 10.1016/j.orl.2015.02.001
A gradient flow scheme for nonlinear fourth order equations. Discrete and Continuous Dynamical Systems -Series B, pp.935-959, 2010. ,
On the Douglas???Rachford splitting method and the proximal point algorithm for maximal monotone operators, Mathematical Programming, pp.293-318, 1992. ,
DOI : 10.2140/pjm.1970.33.209
Texture synthesis by non-parametric sampling, Proceedings of the Seventh IEEE International Conference on Computer Vision, pp.1033-1038, 1999. ,
DOI : 10.1109/ICCV.1999.790383
URL : http://http.cs.berkeley.edu/projects/vision/papers/efros-iccv99.pdf
Nonlocal Discrete Regularization on Weighted Graphs: A Framework for Image and Manifold Processing, IEEE Transactions on Image Processing, vol.17, issue.7, pp.1047-060, 2008. ,
DOI : 10.1109/TIP.2008.924284
URL : https://hal.archives-ouvertes.fr/hal-00163573
Regularized discrete optimal transport, SIAM Journal on Imaging Science, vol.7, issue.1, pp.212-238, 2014. ,
DOI : 10.1007/978-3-642-38267-3_36
URL : https://hal.archives-ouvertes.fr/hal-01188963
Regularized discrete optimal transport, Scale Space and Variational Methods in Computer Vision (SSVM'13), pp.428-439, 2013. ,
DOI : 10.1007/978-3-642-38267-3_36
URL : https://hal.archives-ouvertes.fr/hal-01188963
Static and Dynamic Texture Mixing Using Optimal Transport, Proc. SSVM'13, pp.137-148, 2013. ,
DOI : 10.1007/978-3-642-38267-3_12
Mixed finite element methods for a class of nonlinear reaction diffusion problems, Neural, Parallel, and Scientific Computations, pp.91-112, 2002. ,
Application of optimal transport to data assimilation. Special semester on new trends in calculus of variation, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01097190
Dynamic optimal transport with mixed boundary condition for color image processing, 2015 International Conference on Sampling Theory and Applications (SampTA), 2015. ,
DOI : 10.1109/SAMPTA.2015.7148953
Motion Driven Tonal Stabilization, 2015. ,
DOI : 10.1109/icip.2015.7351429
URL : https://hal.archives-ouvertes.fr/hal-01256874
Optimal Transportation for Example-Guided Color Transfer, Asian Conference on Computer Vision (ACCV'14), pp.655-670, 2014. ,
DOI : 10.1007/978-3-319-16811-1_43
A reconstruction of the initial conditions of the Universe by optimal mass transportation, Nature, vol.34, issue.6886, pp.260-262, 2002. ,
DOI : 10.1007/978-1-4757-1693-1
A Numerical Method for the Elliptic Monge--Amp??re Equation with Transport Boundary Conditions, SIAM Journal on Scientific Computing, vol.34, issue.3, pp.1432-1459, 2012. ,
DOI : 10.1137/110822372
Learning with a wasserstein loss, 2015. ,
A dual algorithm for the solution of nonlinear variational problems via finite element approximation, Computers & Mathematics with Applications, vol.2, issue.1, pp.17-40, 1976. ,
DOI : 10.1016/0898-1221(76)90003-1
The geometry of optimal transportation, Acta Mathematica, vol.177, issue.2, pp.113-161, 1996. ,
DOI : 10.1007/BF02392620
Shape recognition via Wasserstein distance, Quarterly of Applied Mathematics, vol.58, issue.4, pp.705-737, 2000. ,
DOI : 10.1090/qam/1788425
URL : http://www.ams.org/qam/2000-58-04/S0033-569X-2000-1788425-X/S0033-569X-2000-1788425-X.pdf
Nonlocal Linear Image Regularization and Supervised Segmentation, Multiscale Modeling & Simulation, vol.6, issue.2, pp.595-630, 2007. ,
DOI : 10.1137/060669358
Sur l'approximation, par ??l??ments finis d'ordre un, et la r??solution, par p??nalisation-dualit?? d'une classe de probl??mes de Dirichlet non lin??aires, Revue fran??aise d'automatique, informatique, recherche op??rationnelle. Analyse num??rique, vol.9, issue.R2, pp.41-76, 1975. ,
DOI : 10.1051/m2an/197509R200411
Segmentation with Non-linear Regional Constraints via Line-Search Cuts, European Conference on Computer Vision (ECCV'12), pp.583-597, 2012. ,
DOI : 10.1007/978-3-642-33718-5_42
URL : http://lmb.informatik.uni-freiburg.de/Publications/2012/Sch12/GSBDW-eccv12.pdf
On the Time-Continuous Mass Transport Problem and Its Approximation by Augmented Lagrangian Techniques, SIAM Journal on Numerical Analysis, vol.41, issue.1, pp.382-399, 2004. ,
DOI : 10.1137/S0036142901386069
An Efficient Numerical Method for the Solution of the $L_2$ Optimal Mass Transfer Problem, SIAM Journal on Scientific Computing, vol.32, issue.1, pp.197-211, 2010. ,
DOI : 10.1137/080730238
Optimal Mass Transport for Registration and Warping, International Journal of Computer Vision, vol.60, issue.3, pp.225-240, 2004. ,
DOI : 10.1023/B:VISI.0000036836.66311.97
URL : http://www.ee.technion.ac.il/courses/048831/downloads/monge_ijcv.pdf
Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface, Physics of Fluids, vol.149, issue.12, pp.2182-2189, 1965. ,
DOI : 10.1098/rsta.1952.0006
Convergence Analysis of Primal-Dual Algorithms for a Saddle-Point Problem: From Contraction Perspective, SIAM Journal on Imaging Sciences, vol.5, issue.1, pp.119-149, 2012. ,
DOI : 10.1137/100814494
Optimal transport using Helmholtz-Hodge decomposition and first-order primal-dual algorithms, 2015 IEEE International Conference on Image Processing (ICIP), 2015. ,
DOI : 10.1109/ICIP.2015.7351708
URL : https://hal.archives-ouvertes.fr/hal-01134194
Segmentation of Vectorial Image Features Using Shape Gradients and Information Measures, Journal of Mathematical Imaging and Vision, vol.18, issue.1, pp.365-386, 2006. ,
DOI : 10.1002/j.1538-7305.1948.tb01338.x
URL : https://hal.archives-ouvertes.fr/hal-00418217
Image analogies, Proceedings of the 28th annual conference on Computer graphics and interactive techniques , SIGGRAPH '01, pp.327-340, 2001. ,
DOI : 10.1145/383259.383295
DC Programming: Overview, Journal of Optimization Theory and Applications, vol.1, issue.1, pp.1-43, 1999. ,
DOI : 10.1287/moor.1.3.251
Mathematical and numerical analysis of the dynamic optimal transport problem, 2015. ,
Multi-physics optimal transportation and image interpolation, ESAIM: Mathematical Modelling and Numerical Analysis, vol.49, issue.6, pp.1671-1692, 2015. ,
DOI : 10.1007/978-1-4419-9467-7
URL : https://hal.archives-ouvertes.fr/hal-00998370
Adaptive image retrieval based on the spatial organization of colors, Computer Vision and Image Understanding, vol.112, issue.2, pp.101-113, 2008. ,
DOI : 10.1016/j.cviu.2007.12.006
URL : https://hal.archives-ouvertes.fr/hal-00430456
A lagrangian scheme for the solution of the optimal mass transfer problem, Journal of Computational Physics, vol.230, issue.9, pp.3430-3442, 2011. ,
DOI : 10.1016/j.jcp.2011.01.037
URL : https://hal.archives-ouvertes.fr/hal-00664718
Aggregating Local Image Descriptors into Compact Codes, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.34, issue.9, pp.1704-1716, 2012. ,
DOI : 10.1109/TPAMI.2011.235
The Variational Formulation of the Fokker--Planck Equation, SIAM Journal on Mathematical Analysis, vol.29, issue.1, pp.1-17, 1998. ,
DOI : 10.1137/S0036141096303359
On the Translocation of Masses, Management Science, vol.5, issue.1, pp.1-4, 1958. ,
DOI : 10.1287/mnsc.5.1.1
A nonparametric statistical method for image segmentation using information theory and curve evolution, IEEE Transactions on Image Processing, vol.14, issue.10, pp.1486-1502, 2005. ,
Multi-marginal optimal transport on Riemannian manifolds, American Journal of Mathematics, vol.137, issue.4, 2013. ,
DOI : 10.1353/ajm.2015.0024
Computing geodesic paths on manifolds, Proc. of the National Academy of Sciences, pp.8431-8435, 1998. ,
DOI : 10.1073/pnas.95.15.8431
URL : http://www.pnas.org/content/95/15/8431.full.pdf
Thresholding RULES and iterative shrinkage/thresholding algorithm: A convergence study, 2014 IEEE International Conference on Image Processing (ICIP), p.2014 ,
DOI : 10.1109/ICIP.2014.7025843
URL : https://hal.archives-ouvertes.fr/hal-01102810
The Hungarian method for the assignment problem, Naval Research Logistics Quarterly, vol.3, issue.1-2, pp.83-97, 1955. ,
DOI : 10.2140/pjm.1953.3.369
URL : http://www.eecs.umich.edu/%7Epettie/matching/Kuhn-hungarian-assignment.pdf
Imaging with Kantorovich--Rubinstein Discrepancy, SIAM Journal on Imaging Sciences, vol.7, issue.4, pp.2833-2859, 2014. ,
DOI : 10.1137/140975528
URL : http://arxiv.org/pdf/1407.0221.pdf
A numerical algorithm for $l_2$ semi-discrete optimal transport in 3d, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01105021
An Efficient Earth Mover's Distance Algorithm for Robust Histogram Comparison, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.29, issue.5, pp.840-853, 2007. ,
DOI : 10.1109/TPAMI.2007.1058
URL : http://www.cs.umd.edu/~hbling/publication/emd_pami_O.pdf
Splitting Algorithms for the Sum of Two Nonlinear Operators, SIAM Journal on Numerical Analysis, vol.16, issue.6, pp.964-979, 1979. ,
DOI : 10.1137/0716071
Numerical solution of the Monge???Amp??re equation by a Newton's algorithm, Comptes Rendus Mathematique, vol.340, issue.4, pp.319-324, 2005. ,
DOI : 10.1016/j.crma.2004.12.018
Eulerian models and algorithms for unbalanced optimal transport, ESAIM: Mathematical Modelling and Numerical Analysis, vol.49, issue.6, pp.1717-1744, 2015. ,
DOI : 10.1090/gsm/058
URL : https://hal.archives-ouvertes.fr/hal-00976501
An Inertial Forward-Backward Algorithm for Monotone Inclusions, Journal of Mathematical Imaging and Vision, vol.23, issue.3, pp.311-325, 2015. ,
DOI : 10.1137/110844805
URL : http://arxiv.org/pdf/1403.3522.pdf
A sharp inequality for transport maps in <mml:math altimg="si1.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mrow><mml:mi>W</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mi>p</mml:mi></mml:mrow></mml:msup><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="double-struck">R</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math> via approximation, Applied Mathematics Letters, vol.25, issue.3, pp.648-653, 2012. ,
DOI : 10.1016/j.aml.2011.10.006
A generalized model for optimal transport of images including dissipation and density modulation, ESAIM: Mathematical Modelling and Numerical Analysis, vol.49, issue.6, 2015. ,
DOI : 10.1007/978-3-540-39903-2_35
Phase Retrieval for the Cauchy Wavelet Transform, Journal of Fourier Analysis and Applications, vol.10, issue.3, 2014. ,
DOI : 10.1080/713817747
URL : http://arxiv.org/pdf/1404.1183
Polar factorization of maps on Riemannian manifolds, Geometric and Functional Analysis, vol.11, issue.3, pp.589-608, 2001. ,
DOI : 10.1007/PL00001679
A convexity principle for interacting gases. advances in mathematics, pp.153-179, 1997. ,
Linearized Multidimensional Earth-Mover's-Distance Gradient Flows, IEEE Transactions on Image Processing, vol.22, issue.12, pp.5322-5335, 2013. ,
DOI : 10.1109/TIP.2013.2279952
A Multiscale Approach to Optimal Transport, Computer Graphics Forum, vol.40, issue.2, pp.1583-1592, 2011. ,
DOI : 10.1007/978-3-540-71050-9
Mémoire sur la théorie des déblais et de remblais, Académie Royale des Sciences de Paris, pp.666-704 ,
Accurate 3D image colour histogram transformation, Pattern Recognition Letters, vol.24, issue.11, pp.1725-1735, 2003. ,
DOI : 10.1016/S0167-8655(02)00328-8
Optimal approximations by piecewise smooth functions and associated variational problems, Communications on Pure and Applied Mathematics, vol.3, issue.5, pp.577-685, 1989. ,
DOI : 10.1109/TPAMI.1984.4767596
The Primal-Dual Hybrid Gradient Method for Semiconvex Splittings, SIAM Journal on Imaging Sciences, vol.8, issue.2, pp.827-857, 2015. ,
DOI : 10.1137/140976601
Integer and Combinatorial Optimization, 1988. ,
DOI : 10.1002/9781118627372
Interior Point Polynomial Methods in Convex Programming: Theory and Algorithms, 1993. ,
DOI : 10.1137/1.9781611970791
Local Histogram Based Segmentation Using the Wasserstein Distance, International Journal of Computer Vision, vol.18, issue.9, pp.97-111, 2009. ,
DOI : 10.1090/gsm/058
URL : https://link.springer.com/content/pdf/10.1007%2Fs11263-009-0234-0.pdf
Algorithms for finding global minimizers of image segmentation and denoising models, SIAM Journal on Applied Mathematics, vol.66, issue.5, pp.1632-1648, 2006. ,
Exact Histogram Specification for Digital Images Using a Variational Approach, Journal of Mathematical Imaging and Vision, vol.51, issue.4, pp.309-325, 2013. ,
DOI : 10.1109/TCE.2005.1561863
URL : https://hal.archives-ouvertes.fr/hal-00723448
Wide stencil finite difference schemes for the elliptic Monge- Ampere equation and functions of the eigenvalues of the hessian. Discrete and Continuous Dynamical Systems -Series B, pp.221-238, 2008. ,
An efficient linear programming method for Optimal Transportation, 2015. ,
iPiano: Inertial Proximal Algorithm for Nonconvex Optimization, SIAM Journal on Imaging Sciences, vol.7, issue.2, pp.1388-1419, 2014. ,
DOI : 10.1137/130942954
URL : http://lmb.informatik.uni-freiburg.de/Publications/2014/OB14/ipiano.pdf
Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations, Journal of Computational Physics, vol.79, issue.1, pp.12-49, 1988. ,
DOI : 10.1016/0021-9991(88)90002-2
URL : http://www.ann.jussieu.fr/~frey/papers/levelsets/Osher S., Fronts propagating with curvature dependent speed.pdf
Assimilation d'images et de structures, Colloque du Groupe d'Etudes du Traitement du Signal et des Images (GRETSI'13), 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00836062
Optimal Transport with Proximal Splitting, SIAM Journal on Imaging Sciences, vol.7, issue.1, pp.212-238, 2014. ,
DOI : 10.1137/130920058
URL : https://hal.archives-ouvertes.fr/hal-00918460
A Variational Model for Histogram Transfer of Color Images, IEEE Transactions on Image Processing, vol.20, issue.6, pp.1682-1695, 2011. ,
DOI : 10.1109/TIP.2010.2095869
URL : https://hal.archives-ouvertes.fr/hal-00596053
A Linear Time Histogram Metric for Improved SIFT Matching, European Conference on Computer Vision (ECCV'08), pp.495-508, 2008. ,
DOI : 10.1109/CVPR.1997.609451
URL : http://www.cs.huji.ac.il/~werman/Papers/ECCV2008.pdf
Fast and robust Earth Mover's Distances, 2009 IEEE 12th International Conference on Computer Vision, pp.460-467, 2009. ,
DOI : 10.1109/ICCV.2009.5459199
URL : http://www.cs.huji.ac.il/~werman/Papers/ICCV2009.pdf
Poisson image editing, ACM Transactions on Computer Graphics and Interactive Techniques (SIGGRAPH'03), pp.313-331, 2003. ,
Wasserstein active contours, 2012 19th IEEE International Conference on Image Processing, p.2012 ,
DOI : 10.1109/ICIP.2012.6467416
Generalized wasserstein distance and its application to transport equations with source. Archive for Rational Mechanics and Analysis, pp.335-358, 2014. ,
DOI : 10.1007/s00205-013-0669-x
URL : http://arxiv.org/pdf/1206.3219.pdf
Luminance-Chrominance Model for Image Colorization, SIAM Journal on Imaging Sciences, vol.8, issue.1, pp.536-563, 2015. ,
DOI : 10.1137/140979368
URL : https://hal.archives-ouvertes.fr/hal-01166919
The linear Monge-Kantorovitch linear colour mapping for example-based colour transfer, IET 4th European Conference on Visual Media Production (CVMP 2007), pp.1-9, 2007. ,
DOI : 10.1049/cp:20070055
Diagonal preconditioning for first order primal-dual algorithms in convex optimization, 2011 International Conference on Computer Vision, pp.1762-1769, 2011. ,
DOI : 10.1109/ICCV.2011.6126441
Global Solutions of Variational Models with Convex Regularization, SIAM Journal on Imaging Sciences, vol.3, issue.4, pp.1122-1145, 2010. ,
DOI : 10.1137/090757617
URL : http://gpu4vision.icg.tugraz.at/papers/2009/pock_convex.pdf
A parametric texture model based on joint statistics of complex wavelet coefficients, International Journal of Computer Vision, vol.40, issue.1, pp.49-71, 2000. ,
DOI : 10.1023/A:1026553619983
Progressive color transfer for images of arbitrary dynamic range, Computers & Graphics, vol.35, issue.1, pp.67-80, 2011. ,
DOI : 10.1016/j.cag.2010.11.003
A Convex Max-Flow Approach to Distribution-Based Figure-Ground Separation, SIAM Journal on Imaging Sciences, vol.5, issue.4, pp.1333-1354, 2012. ,
DOI : 10.1137/110850372
Removing Artefacts From Color and Contrast Modifications, IEEE Transactions on Image Processing, vol.20, issue.11, pp.3073-3085, 2011. ,
DOI : 10.1109/TIP.2011.2142318
Adaptive color transfer with relaxed optimal transport, 2014 IEEE International Conference on Image Processing (ICIP), p.2014 ,
DOI : 10.1109/ICIP.2014.7025983
URL : https://hal.archives-ouvertes.fr/hal-01002830
Convex Color Image Segmentation with Optimal Transport Distances, Scale Space and Variational Methods in Computer Vision (SSVM'15), pp.241-252, 2015. ,
DOI : 10.1007/978-3-319-18461-6_21
URL : https://hal.archives-ouvertes.fr/hal-01133447
Cosegmentation d'images non-supervisée utilisant les distances de sinkhorn, Colloque du Groupe d'Etudes du Traitement du Signal et des Images (GRETSI'15), 2015. ,
Non-convex relaxation of optimal transport for color transfer, Conference on Geometric Science of Information (GSI'15, p.2015 ,
DOI : 10.1007/978-3-319-25040-3_10
Wasserstein regularization of imaging problem, 2011 18th IEEE International Conference on Image Processing, pp.1541-1544, 2011. ,
DOI : 10.1109/ICIP.2011.6115740
Wasserstein Barycenter and Its Application to Texture Mixing, Scale Space and Variational Methods in Computer Vision (SSVM'11), pp.435-446, 2011. ,
DOI : 10.1109/18.119725
Geodesic Shape Retrieval via Optimal Mass Transport, European Conference on Computer Vision (ECCV'10), pp.771-784, 2010. ,
DOI : 10.1007/978-3-642-15555-0_56
URL : https://hal.archives-ouvertes.fr/hal-00498607
A Generalized Forward-Backward Splitting, SIAM Journal on Imaging Sciences, vol.6, issue.3, pp.1199-1226, 2013. ,
DOI : 10.1137/120872802
URL : https://hal.archives-ouvertes.fr/hal-00613637
A convergence proof for the softassign quadratic assignment algorithm, Neural Information Processing Systems (NIPS'96), pp.620-626, 1996. ,
DOI : 10.1162/089976699300016313
URL : http://www.cis.ufl.edu/~anand/ps/nc.ps.gz
Color transfer between images, IEEE Computer Graphics and Applications, vol.21, issue.4, pp.34-41, 2001. ,
DOI : 10.1109/38.946629
Cosegmentation of Image Pairs by Histogram Matching - Incorporating a Global Constraint into MRFs, 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, Volume 1 (CVPR'06), pp.993-1000, 2006. ,
DOI : 10.1109/CVPR.2006.91
Active unsupervised texture segmentation on a diffusion based feature space, 2003 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2003. Proceedings., 2003. ,
DOI : 10.1109/CVPR.2003.1211535
URL : https://hal.archives-ouvertes.fr/inria-00071891
A metric for distributions with applications to image databases, Sixth International Conference on Computer Vision (IEEE Cat. No.98CH36271), pp.59-66, 1998. ,
DOI : 10.1109/ICCV.1998.710701
URL : http://vision.stanford.edu/public/publication/rubner/rubnerIccv98.pdf
Evaluation of a convex relaxation to a quadratic assignment matching approach for relational object views, Image and Vision Computing, vol.25, issue.8, pp.251301-1314, 2007. ,
DOI : 10.1016/j.imavis.2006.08.005
A sparse algorithm for dense optimal transport, Scale Space and Variational Methods in Computer Vision (SSVM'15), pp.629-641, 2015. ,
DOI : 10.1007/978-3-319-18461-6_50
URL : https://hal.archives-ouvertes.fr/hal-01385274
A Hierarchical Approach to Optimal Transport, Scale Space and Variational Methods in Computer Vision (SSVM'13), pp.452-464, 2013. ,
DOI : 10.1007/978-3-642-38267-3_38
Modelling Convex Shape Priors and Matching Based on the Gromov-Wasserstein Distance, Journal of Mathematical Imaging and Vision, vol.123, issue.1, pp.143-159, 2013. ,
DOI : 10.1007/978-3-540-71050-9
Globally Optimal Joint Image Segmentation and Shape Matching Based on Wasserstein Modes, Journal of Mathematical Imaging and Vision, vol.9, issue.1, pp.436-458, 2015. ,
DOI : 10.1007/978-3-642-12055-8
URL : http://arxiv.org/pdf/1407.3956
Theory of linear and integer programming, 1986. ,
An Algorithmic Approach to Compute Principal Geodesics in the Wasserstein Space, 2015. ,
A fast marching level set method for monotonically advancing fronts., Proc. of the National Academy of Sciences, pp.1591-1595, 1996. ,
DOI : 10.1073/pnas.93.4.1591
URL : http://www.pnas.org/content/93/4/1591.full.pdf
Expanded Parts Model for Human Attribute and Action Recognition in Still Images, 2013 IEEE Conference on Computer Vision and Pattern Recognition, pp.652-659, 2014. ,
DOI : 10.1109/CVPR.2013.90
URL : https://hal.archives-ouvertes.fr/hal-00816144
Approximate earth mover's distance in linear time, IEEE Conference on Computer Vision and Pattern Recognition (CVPR'08), pp.1-8, 2008. ,
DOI : 10.1109/cvpr.2008.4587662
Diagonal Equivalence to Matrices with Prescribed Row and Column Sums, The American Mathematical Monthly, vol.74, issue.4, pp.402-405, 1967. ,
DOI : 10.2307/2314570
Convolutional wasserstein distances, ACM Transactions on Graphics, vol.34, issue.4, p.2015 ,
DOI : 10.1145/563858.563893
URL : https://hal.archives-ouvertes.fr/hal-01188953
Wasserstein propagation for semi-supervised learning, International Conference on machine Learning (ICML'14), pp.306-314, 2014. ,
Linear Algebra and Its Applications, 1988. ,
Convex Relaxation of Vectorial Problems with Coupled Regularization, SIAM Journal on Imaging Sciences, vol.7, issue.1, pp.294-330, 2014. ,
DOI : 10.1137/130908348
Corruptive Artifacts Suppression for Example-Based Color Transfer, IEEE Transactions on Multimedia, vol.16, issue.4, pp.988-999, 2014. ,
DOI : 10.1109/TMM.2014.2305914
URL : http://doi.org/10.1109/tmm.2014.2305914
Optimal mass transport for higher dimensional adaptive grid generation, Journal of Computational Physics, vol.230, issue.9, pp.3302-3330, 2011. ,
DOI : 10.1016/j.jcp.2011.01.025
Convex Variational Image Restoration with Histogram Priors, SIAM Journal on Imaging Sciences, vol.6, issue.3, pp.1719-1735, 2013. ,
DOI : 10.1137/120897535
Variational Image Segmentation and Cosegmentation with the Wasserstein Distance, International Workshop on Energy Minimization Methods in Computer Vision and Pattern Recognition (EMMCVPR'13), pp.321-334, 2013. ,
DOI : 10.1007/978-3-642-40395-8_24
Local color transfer via probabilistic segmentation by expectation-maximization, IEEE Conference on Computer Vision and Pattern Recognition (CVPR'05), pp.747-754, 2005. ,
A Global Geometric Framework for Nonlinear Dimensionality Reduction, Science, vol.290, issue.5500, pp.2902319-2323, 2000. ,
DOI : 10.1126/science.290.5500.2319
Assimilation of Image Sequences in Numerical Models. Tellus A: Dynamic Meteorology and Oceanography, pp.30-47, 2010. ,
URL : https://hal.archives-ouvertes.fr/inria-00391876
Convergence of a Block Coordinate Descent Method for Nondifferentiable Minimization, Journal of Optimization Theory and Applications, vol.109, issue.3, pp.475-494, 2001. ,
DOI : 10.1023/A:1017501703105
Efficient algorithms for globally optimal trajectories, IEEE Transactions on Automatic Control, vol.40, issue.9, pp.1528-1538, 1995. ,
DOI : 10.1109/9.412624
URL : http://www.mit.edu/people/jnt/Papers/J058-95-jnt-traj.pdf
A splitting algorithm for dual monotone inclusions involving cocoercive operators, Advances in Computational Mathematics, vol.38, issue.3, pp.667-681, 2013. ,
A multiphase level set framework for image segmentation using the mumford and shah model, International Journal of Computer Vision, vol.50, issue.3, pp.271-293, 2002. ,
DOI : 10.1023/A:1020874308076
Joint optimization of segmentation and appearance models, 2009 IEEE 12th International Conference on Computer Vision, pp.755-762, 2009. ,
DOI : 10.1109/ICCV.2009.5459287
Cosegmentation Revisited: Models and Optimization, European Conference on Computer Visio (ECCV'10), pp.465-479, 2010. ,
DOI : 10.1007/978-3-642-15552-9_34
URL : http://www0.cs.ucl.ac.uk/staff/S.Vicente/papers/ECCV2010.pdf
Topics in Optimal Transportation, 2003. ,
DOI : 10.1090/gsm/058
Optimal Transport: Old and New. Grundlehren der mathematischen Wissenschaften, 2008. ,
DOI : 10.1007/978-3-540-71050-9
The Use of Entropy Maximising Models, in the Theory of Trip Distribution, Mode Split and Route Split, Journal of Transport Economics and Policy, vol.3, issue.1, pp.108-126, 1969. ,
Synthesizing and Mixing Stationary Gaussian Texture Models, SIAM Journal on Imaging Sciences, vol.7, issue.1, pp.476-508, 2014. ,
DOI : 10.1137/130918010
URL : https://hal.archives-ouvertes.fr/hal-00816342
Color transfer in correlated color space, Proceedings of the 2006 ACM international conference on Virtual reality continuum and its applications, VRCIA '06, pp.305-309, 2006. ,
DOI : 10.1145/1128923.1128974
URL : http://cgm.cs.ntust.edu.tw/kay/2007-01-04 abstract/color transfer in correlated color space.pdf
Active contours without level sets, IEEE International Conference on Image Processing (ICIP'12), pp.2549-2552, 2012. ,
A Convex Formulation for Global Histogram Based Binary Segmentation, International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition (EMMCVPR'13), pp.335-349, 2013. ,
DOI : 10.1007/978-3-642-40395-8_25
Discrete Orthogonal Decomposition and Variational Fluid Flow Estimation, Journal of Mathematical Imaging and Vision, vol.34, issue.2, pp.67-80, 2007. ,
DOI : 10.1137/1.9780898718003
A fast global optimization-based approach to evolving contours with generic shape prior, UCLA Tech. Report CAM, pp.12-38, 2012. ,
A Path Following Algorithm for the Graph Matching Problem, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.31, issue.12, pp.312227-2242, 2009. ,
DOI : 10.1109/TPAMI.2008.245
URL : https://hal.archives-ouvertes.fr/hal-00433567
Many-to-Many Graph Matching: A Continuous Relaxation Approach, European Conference on Machine Learning and Practice of Knowledge Discovery in Databases (ECML PKDD'10), pp.515-530, 2010. ,
DOI : 10.1007/978-3-642-15939-8_33
URL : https://hal.archives-ouvertes.fr/hal-00465916
Robust point matching for nonrigid shapes by preserving local neighborhood structures, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.28, issue.4, pp.643-649, 2006. ,
DOI : 10.1109/TPAMI.2006.81
Region competition: unifying snakes, region growing, energy/Bayes/MDL for multi-band image segmentation, Proceedings of IEEE International Conference on Computer Vision, pp.416-423, 1995. ,
DOI : 10.1109/ICCV.1995.466909