Drafts in preparation

• J. Darbon, T. Kim. A Newton-based algorithm for computing projections on Minkowski sum of Ellipsoids. 23 pages (as of 1/24/2020).

Preprints

• J. Darbon, G. P. Langlois. On Bayesian posterior mean estimators in imaging sciences Hamilton-Jacobi Partial Differential Equations. 33 pages. (March 2020, to be sumbitted) arxiv link
• J. Darbon, T. Meng. On some neural network architectures that can represent viscosity solutions of certain high dimensional Hamilton--Jacobi partial differential equations. 20 pages. (February 2020, submitted) arxiv link
• Y. Tendero, I. Ciril, J. Darbon,S. Serna. An Exact Algorithm Solving Compressive Sensing Problems Based On Maximal Monotone Operators. (May 2019, submitted).
• J. Darbon, G. P. Langlois, T. Meng. Overcoming the curse of dimensionality for some Hamilton--Jacobi partial differential equations via neural network architectures. arxiv link (October 2019, submitted).

Journal papers

• J. Darbon, T. Meng: On Decomposition Models in Imaging Sciences and Multi-time Hamilton-Jacobi Partial Differential Equations. SIAM J. Imaging Sciences (Accepted in December 2019. In press). arxiv link
• Y. T. Chow, J. Darbon, S. J. Osher, W. Yin: Algorithm for overcoming the curse of dimensionality for state-dependent Hamilton-Jacobi equations. J. Comput. Physics 387: 376-409 (2019)
• M. R. Kirchner, R. T. Mar, G. A. Hewer, J. Darbon, S. J. Osher, Y. T. Chow: Time-Optimal Collaborative Guidance Using the Generalized Hopf Formula. IEEE Control Systems Letters 2(2): 201-206 (2018)
• Y. T. Chow, J. Darbon, S. J. Osher, W. Yin: Algorithm for Overcoming the Curse of Dimensionality for Certain Non-convex Hamilton-Jacobi Equations, Projections and Differential Games. Annals of Mathematical Sciences and Applications 3(2): 369-403 (2018).
• M. Lebrun, Miguel Colom, J. Darbon, J.-M. Morel: Numerical Simulation of Landscape Evolution Models. IPOL Journal 8: 219-250 (2018)
• Y. T. Chow, J. Darbon, S. J. Osher, W.x Yin: Algorithm for Overcoming the Curse of Dimensionality For Time-Dependent Non-convex Hamilton-Jacobi Equations Arising From Optimal Control and Differential Games Problems. J. Sci. Comput. 73(2-3): 617-643 (2017)
• B. Lee, J. Darbon, S. J. Osher, M. Kang: Revisiting the redistancing problem using the Hopf-Lax formula. J. Comput. Physics 330: 268-281 (2017)
• J. Darbon, S. Osher: Algorithms for Overcoming the Curse of Dimensionality for Certain Hamilton-Jacobi Equations Arising in Control Theory and Elsewhere. Research in the Mathematical Sciences 3(1): 19 (2016)
• J. Darbon: On Convex Finite-Dimensional Variational Methods in Imaging Sciences and Hamilton-Jacobi Equations. SIAM J. Imaging Sciences 8(4): 2268-2293 (2015)
• A. Chen, J. Darbon, C. De Franchis, G. Facciolo, E. Meinhardt, J.-M. Morel: Numerical simulation of landscape evolution and water run-off on digital elevation models obtained from Pleiades. Revue Française de Photogrammétrie et de Télédection 209: 117-123 (2015)
• A. Chen, J. Darbon, J.-M. Morel: Landscape evolution models: a review of their fundamental equations. Geomorphology 219: 68-86 (2014)
• A. Chen, J. Darbon, G. Buttazo, F. Santambrogio, J.-M. Morel. On the equations of landscape formation. Interfaces and Free Boundaries 16(1): 105-136, 2014
• Braxton Osting, J. Darbon, S. Osher. Statistical ranking using the l1-norm on graphs. AIMS Journal on Inverse Problems and Imaging 7(3): 907-926, 2013
• V. Israel-Jost, J. Darbon, Elsa D. Angelini, Isabelle Bloch: Conciliating syntactic and semantic constraints for multi-phase and multi-channel region segmentation. Computer Vision and Image Understanding 117(8): 819-826 (2013)
• A. Shabou, J. Darbon, F. Tupin: Multilabel partition moves for MRF optimization. Image Vision Comput. 31(1): 14-30 (2013)
• A. Borghi, J. Darbon, S. Peyronnet, T. F. Chan, S. J. Osher: A Simple Compressive Sensing Algorithm for Parallel Many-Core Architectures. Signal Processing Systems 71(1): 1-20 (2013)
• L. Likforman-Sulem, J. Darbon, Elisa H. Barney Smith: Enhancement of historical printed document images by combining Total Variation regularization and Non-local Means filtering. Image Vision Comput. 29(5): 351-363 (2011)
• A. Borghi, J. Darbon, S. Peyronnet: Exact optimization for the l1-Compressive Sensing problem using a modified Dantzig-Wolfe method. Theor. Comput. Sci. 412(15): 1325-1337 (2011)
• S. Bausson, V. Thomas, P.-Y. Joubert, L. Blanc-Féraud, J. Darbon, G. Aubert: Regularized inversion of a distributed point source model for the reconstruction of defects in Eddy current imaging. COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 30(6): 1777-1791 (2011)
• A. Shabou, J. Darbon, F. Tupin: A Markovian Approach for InSAR Phase Reconstruction With Mixed Discrete and Continuous Optimization. IEEE Geosci. Remote Sensing Lett. 8(3): 527-531 (2011)
• J. Darbon: Global optimization for first order Markov Random Fields with submodular priors. Discrete Applied Mathematics 157(16): 3412-3423 (2009)
• L. Denis, F. Tupin, J. Darbon, M. Sigelle: Joint Regularization of Phase and Amplitude of InSAR Data: Application to 3-D Reconstruction. IEEE Trans. Geoscience and Remote Sensing 47(11): 3774-3785 (2009)
• A. Chambolle, J. Darbon: On Total Variation Minimization and Surface Evolution Using Parametric Maximum Flows. International Journal of Computer Vision 84(3): 288-307 (2009)
• L. Denis, F. Tupin, J. Darbon, M. Sigelle: SAR Image Regularization With Fast Approximate Discrete Minimization. IEEE Trans. Image Processing 18(7): 1588-1600 (2009)
• W. Yin, S. Osher, D. Goldfarb, J. Darbon: Bregman Iterative Algorithms for \ell1-Minimization with Applications to Compressed Sensing. SIAM J. Imaging Sciences 1(1): 143-168 (2008)
• J. Darbon, M. Sigelle: Image Restoration with Discrete Constrained Total Variation Part I: Fast and Exact Optimization. Journal of Mathematical Imaging and Vision 26(3): 261-276 (2006)
• J. Darbon, M. Sigelle: Image Restoration with Discrete Constrained Total Variation Part II: Levelable Functions, Convex Priors and Non-Convex Cases. Journal of Mathematical Imaging and Vision 26(3): 277-291 (2006)
• E. Yoruk, E. Konukoglu, B. Sankur, J. Darbon: Shape-Based Hand Recognition. IEEE Trans. Image Processing 15(7): 1803-1815 (2006)

Conference papers

• M. Coupechoux, J. Darbon, J.-M. Kelif, M. Sigelle: Optimal Trajectories of a UAV Base Station Using Lagrangian Mechanics. INFOCOM Workshops (MiSARN) 2019: 626-631
• M. R. Kirchner, G. A. Hewer, J. Darbon, S. Osher: A Primal-Dual Method for Optimal Control and Trajectory Generation in High-Dimensional Systems. CCTA 2018: 1583-1590
• I. Ciril, J. Darbon, Y. Tendero: A Simple and Exact Algorithm to Solve l1 Linear Problems - Application to the Compressive Sensing Method. VISIGRAPP (4: VISAPP) 2018: 54-62
• V. Israel-Jost, J. Darbon, E. D. Angelini, I. Bloch: On the implementation of the multi-phase region segmentation, solving the hidden phase problem. ICIP 2014: 4338-4342
• I. Ciril, J. Darbon: Image Denoising with a Constrained Discrete Total Variation Scale Space. DGCI 2011: 465-476
• Elisa H. Barney Smith, J. Darbon, L. Likforman-Sulem: A mask-based enhancement method for historical documents. DRR 2011: 787414
• A. Borghi, J. Darbon, S. Peyronnet, T. F. Chan, S. J. Osher: A Compressive Sensing Algorithm for Many-Core Architectures. ISVC (2) 2010: 678-686
• A. Borghi, J. Darbon, S. Peyronnet: l1-compressive sensing: exact optimization a la Dantzig-Wolfe. IEEE Workshop on Signal Processing Systems (SiPS’10), pages 7-12, San Francisco Bay area, USA, October 2010.
• S. Bausson, V. Thomas, P.-Y. Joubert, L. Blanc-Féraud, J. Darbon, G. Aubert: Regularized inversion of a distributed point source model for the reconstruction of defects in Eddy current imaging. In the proceedings of the 14th International IGTE Symposium on Numerical Field Calculation in Electrical Engineering (IGTE 10), Graz, Austria, September 2010
• E. H. Barney Smith, L. Likforman-Sulem, J. Darbon. Effect of pre-processing on binarization. In the proceedings of the Electronic Imaging- Document Recognition and Retrieval (DRR 10) 2010.
• J. Darbon, I. Ciril, A. Marquina, T.F. Chan, S. Osher. A Note on the Bregmanized Total Variation and Dual Forms. ICIP 2009: 2965-2968.
• J. Atif, J. Darbon: Copula-set measures on topographic maps for change detection. ICIP 2009: 2881-2884
• A. Shabou, F. Tupin, J. Darbon: A graph-cut based algorithm for approximate MRF optimization. ICIP 2009: 2413-2416
• L. Likforman-Sulem, J. Darbon, E. H. Barney Smith: Pre-Processing of Degraded Printed Documents by Non-local Means and Total Variation. ICDAR 2009: 758-762
• L. Denis, F. Tupin, J. Darbon, M. Sigelle: A Regularization Approach for InSAR and Optical Data Fusion. IGARSS (2) 2008: 97-100
• L. Denis, F. Tupin, J. Darbon, M. Sigelle: Joint Filtering of SAR Interferometric and Amplitude Data in Urban Areas by TV Minimization. IGARSS 2008: 471-474
• J. Darbon, A. Cunha, T.F. Chan, S. Osher, G. Jensen. An Efficient Neighborhood Filtering Algorithm and its application to Biological Images. IEEE International Symposium on Biomedical Imaging (ISBI) 2008: 1331-1334.
• L. Denis, F. Tupin, J. Darbon, M. Sigelle, C. Tison. SAR Amplitude filtering using TV prior and its application to building delineation. European Conference on Synthetic Aperture Radar (EUSAR) 2008.
• J. Darbon: Global Optimization for First Order Markov Random Fields with Submodular Priors. In the proceedings of the twelve International Workshop on Combinatorial Image Analysis (IWCIA) 2008: 229-237.
• A. Cunha, J. Darbon: A Fast and Accurate Total Variation Based Feature Detection and Triangulation of Biological Images. IEEE International Symposium on Biomedical Imaging (ISBI) 2007: 680-683.
• J. Darbon, S. Lefebvre, S. Esedoglu, T.F. Chan. TV Optimization and Graph-cuts. Proceedings in Applied Mathematics and Mechanics, 7(1), 2007: 1042303-1042304
• G. Fouquier, L. Likforman, J. Darbon, B. Sankur. The BIOSECURE Geometry-Based System for Hand Modality. IEEE International Conference on Accoustic, Sppech and Siganl Processing (ICASSP) 2007.
• J. Darbon. A Note on the Discrete Binary Mumford-Shah Model. In the proceedings of MIRAGE 2007, Springer-Verlag, LNCS Series INRIA Rocquencourt, 2007.
• J. Darbon, M. Sigelle, F. Tupin. The use of levelable regularization functions for MRF restoration of SAR images while preserving reflectivity. in IS&T/SPIE 19th Annual Symposium Electronic Imaging. Conference on Computational Imaging (E112), 2007.
• D. Lesage, J. Darbon, C.B. Akgul. An Efficient Algorithm for Connected Attribute Thinnings and Thickenings. In International Symposium on Visual Computing (ISVC), LNCS Series vol. 4292, pages 393-404, Lake Tahoe, Nevada, USA, November 6-8, 2006.
• J. Darbon, R. Lassaigne, S. Peyronnet. Approximate Probabilistic Model Checking for Programs. In the electronic proceedings of the second IEEE International Conference on Intelligent Computer Communication and Processing (ICCP), Cluj-Napoca, Romania, September 2006.
• M. Chekroun, J. Darbon, I. Ciril. On a Polynomial Vector Field Model for Shape Representation. In the proceedings to the International Conference on Image Analysis and Recognition (ICIAR), LNCS Series vol. 4142, pages 386-397, Povoa de Varzim, Portugal, September 2006.
• J. Darbon, S. Peyronnet. A Vectorial Self-Dual Morphological Filter based on Total Variation Minimization. In the 1st International Symposium on Visual Computing (ISVC), LNCS Series vol. 3804, pages 388-395, Lake Tahoe, Nevada, December 2005.
• J. Darbon. Total Variation Minimization with L1 Data Fidelity as a Contrast Invariant Filter. In the IEEE proceedings of the 4th International Symposium on Image and Signal Processing and Analysis (ISPA), pages 221-226 , Zagreb, Craotia, September 2005.
• J. Darbon, C. Akgul. An Efficient Algorithm for Attribute Openings and Closings. In the electronic proceedings of the European Signal Processing Conference (EUSIPCO), Antalya, Turkey, Septem- ber 2005.
• J. Darbon, M. Sigelle. A Fast and Exact Algorithm for Total Variation Minimization. In the proceedings of the Second Iberian Conference on Pattern Recognition and Image Analysis (IbPRIA), LNCS Series vol. 3522, pages 351-359, Estoril, Protugal, June 2005.
• J. Darbon, M. Sigelle. Exact Optimization of Discrete Constrained Total Variation Minimization Problems. In the proceedings of Intenartional Workshop on Combinatorial Image Analysis (IWCIA), LNCS series vol. 3322, pages 548-557, Auckland, New-Zealand, December 2004.
• E. Yoruk, E. Konukoglu, B. Sankur, J. Darbon. Person Authentication based on hand shape. In the electronic proceedings of European Signal Processing Conference (EUSIPCO), Austria, September 2004.
• E. Yoruk, E. Konukoglu, B. Sankur, J. Darbon. Shape Based Hand Recognition. In the electronic proceedings of 12th IEEE Signal Processing and Telecommunication Applications Conference (IEEE- SIU), Kusadasi, Turkey, April 28-30, 2004.
• J. Darbon, T.Geraud, A. Duret-Lutz. Generic Implementation of Morphological Image Operators. In the proceedings of the International Symposium on Mathematical Morphology VI (ISMM), pages 175-184, Sydney, New South Wales, Australia, Avril 2002.
• T. Geraud, P. Strub, J. Darbon. Color Image Segmentation Based on Automatic Morphological Clustering. In the Proceedings of the IEEE International Conference on Image Processing (ICIP), vol. 3, pages 70-73, Thessa- loniki, Greece, October 2001.
• J. Darbon, B. Sankur, H. Maitre. Error Correcting Code Performance for Watermark Protection. In the Proceedings of Electronic Imaging 2001 (EI) - Security and Watermarking of Multimedia Contents III (EI27), vol. 4314, pages 663-672, San Jose, CA, USA, January 2001.

Book Chapters

• Y. Tendero, I.Ciril, J. Darbon. A Simple and Exact Algorithm to Solve Linear Problems with l1-based Regularizers. Computer Vision, Imaging and Computer Graphics Theory and Applications - 13th International Joint Conference, VISIGRAPP 2018, Funchal, Madeira, Portugal, January 27-29, 2018, Revised Selected Papers. Communications in Computer and Information Science 997, Springer 2019.
• J. Darbon, S. Osher. Splitting Enables Overcoming the Curse of Dimensionality. Chapter in the book Splitting Methods in Communication, Imaging, Science, and Engineering p. 427-432, 2017.
• A. Chambolle, J. Darbon. Parametric Maximum-flows and Total Variation Minimization. Chapter in the book Image Processing and Analysis with Graphs: Theory and Practice, CRC Press, 2012.
• H. Dutagaci, G. Fouquier, B. Sankur, L. Likforman, J. Darbon. A Reference Biometric System Based on Hand-Modality. chapter in the book "Guide to Biometric Reference Systems and Performance Evaluation"; Publisher Springer-Verlag, London, 2008.

Patent

• A. Cunha, J. Darbon. A fast computational method for noise reduction in digital images and videos. Joint patent between UCLA and California Institute of California, Co-inventor Alexandre Cunha (California Institute of Technology, Center for Advanced Computing Research). See publications. Provisional application on Aug. 7, 2008. Patent Number: US 8,139,650 B2. Date of patent: March 20, 2012.

Reports and other papers

• G. Gilboa, J. Darbon, S. Osher, T. Chan. Nonlocal Convex Functionals for Image Regularization. UCLA CAM report 06-57. October 2006.
• J. Darbon. Composants logiciels et algorithmes de minimisation exactes d'énergies dédiés au traitement des images. PhD Thesis, October 2005.
• J. Darbon, T. Geraud, P. Bellot. Generic Algorithmic Blocks dedicated to Image Processing. In the electronic Proceedings of the PhD Workshop of European Conference on Object Oriented Programming, 2004.
• S. Lefebvre, J. Darbon, F. Neyret. Unified Texture Management for Arbitrary Meshes INRIA research report RR-5210, May 2004.
• T. Geraud, P. Strub, J. Darbon. Segmentation d'Images en Couleur par Classification Morphologique Non Supervisée. In the Proceedings of the 1st International Conference on Image and Signal Processing (ICISP'2001), pages 387-394, Agadir, Moroco, May 2001.