Research

Research Themes

• image analysis, modeling, and processing
• image restoration
• image sampling, image quality, sub-pixel information
• texture models, texture analysis and synthesis
• a-contrario detection of structures in images
• mathematical formalization of visual perception

Mathematical areas

• probabilities, statistical inference, decision theory
• stochastic processes, Monte-Carlo Markov Chains
• variational models
• optimization and numerical analysis
• partial differential equations

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Publications

2024




• ``Hyperspectral signal reconstruction from interferometric measurements with enriched Fourier bases'' (Yassine Mhiri, Rémy Abergel, Andrés Almansa, Lionel Moisan), preprint MAP5, 2024, accepted for presentation at Eusipco 2024.
  download: preprint
  
  
• ``Linear Super-Resolution Through Translational Motion'' (Rémy Abergel, Andrés Almansa, Lionel Moisan, Camille Noûs), preprint MAP5, 2024.
  download: preprint
  
  
  

  2023

  
  
  
• ``The Reissner fiber under tension in vivo shows dynamic interaction with ciliated cells contacting the cerebrospinal fluid'' (Céline Bellegarda, Guillaume Zavard, Lionel Moisan, Françoise Brochard-Wyart, Jean-François Joanny, Ryan S Gray, Yasmine Cantaut-Belarif, Claire Wyart), Elife, vol. 12, p. e86175, 2023.
  download: published version / preprint (DOI: 10.7554/elife.86175)
  
  
  

  2022

  
  
  
• ``A Non Intrusive Audio Clarity Index (NIAC) and its Application to Blind Source Separation'' (Gaël Mahé, Giulio Suzumura, Lionel Moisan, Ricardo Suyama), Signal Processing, no. 194, p. 108448, 2022.
  download: published version / preprint (DOI: 10.1016/j.sigpro.2021.108448)
  
  
• Informatique Tronc Commun prépas scientifiques, in french (Alain Caignot, Lionel Moisan, David Violeau, Alain Camanes, Vuibert prépas scientifiques, 2022. (ISBN : 978-2-311-21299-0)
  
  
  

  2021

  
  
  
• ``Procédé de construction d'un signal ou d'une image fusionné(e) haute résolution à partir d'une pluralité de signaux ou d'une pluralité d'images basse résolution'' (inventors: Rémy Abergel, Andrés Almansa, Gwendoline Blanchet, Christophe Latry, Lionel Moisan), patent number WO2021250356A1, december 2021.
  
  
• ``Optical measuring device and process'' (inventors: Gabriel Y. Sirat, Lionel Moisan, Clément Fallet, Julien Caron, Maxime Dubois), patent number US10921255B2, february 2021.
  
  
  

  2020

  
  
  
• ``Fast and accurate evaluation of a generalized incomplete gamma function'' (Rémy Abergel, Lionel Moisan), ACM Transactions on Mathematical Software, vol. 46, no. 1, 2020.
  download: published version / revised preprint / open-source C software (DOI: 10.1145/3365983)
  
  
  

  2019

  
  
  
• ``Détection indirecte de changements en imagerie satellitaire haute résolution'' (Vincent Vidal, Lionel Moisan), actes du Gretsi, 2019.
  download: revised preprint
  
  
• ``Aggregated primary detectors for generic change detection in satellite images'' (Vincent Vidal, Matthieu Limbert, Tugdual Ceillier, Lionel Moisan), proceedings of IEEE International Symposium on Geoscience and Remote Sensing (IGARSS), pp. 59-62, 2019.
  download: published version / revised preprint (DOI: 10.1109/IGARSS.2019.8898833)
  
  
  

  2017

  
  
  
• ``The Shannon Total Variation'' (Rémy Abergel, Lionel Moisan), Journal of Mathematical Imaging and Vision, vol. 59, no. 2, pp. 341-370, 2017.
  download: published version SharedIt / revised preprint
  
  
• ``An Image-Inspired Audio Sharpness Index'' (Gaël Mahé, Lionel Moisan, Mihai Mitrea), proceedings of the European Signal Processing Conference (Eusipco), IEEE, pp. 713-717, 2017.
  download: published version / revised preprint
  
  
• ``Texton noise'' (Bruno Galerne, Arthur Leclaire, Lionel Moisan), Computer Graphics Forum, vol. 36, no. 8, pp. 205-218, 2017.
  download: published version / preprint (DOI: 10.1111/cgf.13073)
  
  
• ``The Billard Theorem for Multiple Random Fourier Series'' (Samuel Ronsin, Hermine Biermé, Lionel Moisan), Journal of Fourier Analysis and Applications 23(1), pp. 207-228, 2017.
  download: published version / revised version (DOI: 10.1007/s00041-016-9467-9)
  
  
• ``Procédé et dispositif de traitement d'image numérique contenant des artefacts dus à un repliement spectral'' (inventors: Gwendoline Blanchet, Baptiste Coulange, Lionel Moisan, Jonathan Guinet), patent FR3029332, january 2017.
  
  
  

  2016

  
  
  
• ``Fundamental Matrix of a Stereo Pair, with A Contrario Elimination of Outliers'' (Lionel Moisan, Pierre Moulon, and Pascal Monasse), Image Processing On Line, 6, pp. 89-113, 2016.
  download: revised version (DOI: 10.5201/ipol.2016.147)
  
  
• ``Particle detection and tracking in fluorescence time-lapse imaging: a contrario approach'' (Mariella Dimiccoli, Jean-Pascal Jacob, Lionel Moisan), Machine Vision and Applications, vol. 27, no. 4, pp. 511-527, 2016.
  download: published version (DOI: 10.1007/s00138-016-0757-7)
  
  
• ``Microtexture Inpainting through Gaussian Conditional Simulation'' (Bruno Galerne, Arthur Leclaire, Lionel Moisan), proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), 2016.
  download: published version / revised preprint (DOI: 10.1109/ICASSP.2016.7471867)
  
  
• ``Active skeleton for bacteria modelling'' (Jean-Pascal Jacob, Mariella Dimiccoli, Lionel Moisan), Computer Methods in Biomechanics and Biomedical Engineering: Imaging & Visualization, 2016.
  download: published version (DOI: 10.1080/21681163.2015.1100099)
  
  
  

  2015

  
  
  
• Informatique pour tous, in french (Alain Cagnot, Marc Dérumaux, Johann Labasque, Lionel Moisan), Vuibert prépas (classes préparatoires scientifiques 1ère et 2e années, 2015. (ISBN : 978-2-311-40099-1)
  
  
• ``A turning-band method for the simulation of anisotropic fractional Brownian fields'' (Hermine Biermé, Lionel Moisan, Frédéric Richard), Journal of Computational and Graphical Statistics, vol. 24, no. 3, pp. 885-904, 2015.
  download: published version / preprint (DOI: 10.1080/10618600.2014.946603)
  
  
• ``No-reference image quality assessment and blind deblurring with sharpness metrics exploiting Fourier phase information'' (Arthur Leclaire, Lionel Moisan), Journal of Mathematical Imaging and Vision, vol. 52, no. 1, pp. 145-172, 2015.
  download: published version / revised preprint   web page with source codes and images (DOI: 10.1007/s10851-015-0560-5)
  
  
• ``Total Variation Restoration of Images Corrupted by Poisson Noise with Iterated Conditional Expectations'' (Rémy Abergel, Cécile Louchet, Lionel Moisan, Tieyong Zeng), proceedings of the 5th International Conference on Scale Space and Variational Methods in Computer Vision (SSVM), Lecture Notes in Computer Science, vol. 9087, pp 178-190, 2015.
  download: published version / revised preprint    (DOI: 10.1007/978-3-642-38267-3_8)
  
  
  

  2014

  
  
  
• ``Conical diffraction illumination opens the way for low phototoxicity super-resolution imaging'' (Julien Caron, Clément Fallet, Jean-Yves Tinevez, Lionel Moisan, L. Philippe Braitbart, Gabriel Y. Sirat, Spencer L. Shorte), Cell Adhesion & Migration 8(5), pp. 430-439, 2014.
  download: published version (DOI: 10.4161/cam.29358)
  
  
• ``Conical diffraction as a versatile building block to implement new imaging modalities for superresolution in fluorescence microscopy'' (Clément Fallet, Julien Caron, St´phane Oddos, Jean-Yves Tinevez, Lionel Moisan, Gabriel Y. Sirat, Philippe O. Braitbart, Spencer L. Shorte), proceedings SPIE NanoScience and Engineering: Nanoimaging and Nanospectroscopy II, vol. 9169, 2014.
  download: published version (DOI: 10.1117/12.2061059)
  
  
• ``Total Variation denoising using iterated conditional expectation'' (Cécile Louchet, Lionel Moisan), proceedings of the European Signal Processing Conference (Eusipco), IEEE, pp. 1592-1596, 2014.
  download: published version / revised preprint
  
  
• ``A Stable Method Solving the Total Variation Dictionary Model with L-infinity Constraints'' (Liyan Ma, Lionel Moisan, Jian Yu, Tieyong Zeng), Inverse Problems and Imaging, vol. 8, no. 2, pp. 507-535, 2014.
  download: published version / revised preprint (DOI: 10.3934/ipi.2014.8.507)
  
  
• ``Accelerated A-contrario Detection of Smooth Trajectories'' (Rémy Abergel, Lionel Moisan), proceedings of the European Signal Processing Conference (Eusipco), IEEE, pp. 2200-2204, 2014.
  download: published version / revised preprint
  
  
• ``A Texton for Fast and Flexible Gaussian Texture Synthesis'' (Bruno Galerne, Arthur Leclaire, Lionel Moisan), proceedings of the European Signal Processing Conference (Eusipco), IEEE, pp. 1686-1690, 2014.
  download: published version / revised preprint
  
  
• ``Conical diffraction as a versatile building block to implement new imaging modalities for superresolution in fluorescence microscopy'' (Clément Fallet, Julien Caron, Stéphane Oddos, Jean-Yves Tinevez, Lionel Moisan, Gabriel Y. Sirat, Philippe O. Braitbart, Spencer L. Shorte), proceedings SPIE 9169, Nanoimaging and Nanospectroscopy II, 916905, 2014.
  download: published version (DOI: 10.1117/12.2061059)
  
  
  

  2013

  
  
  
• ``Posterior Expectation of the Total Variation model: Properties and Experiments'' (Cécile Louchet, Lionel Moisan), SIAM Journal on Imaging Sciences, vol 6:4, pp. 2640-2684, 2013.
  download: published version (DOI: 10.1137/120902276)
  
  
• ``Conical Diffraction Based Super-resolution System for Fluorescence Microscopy: System Description and Demonstration visualizing Biological Objects'' (G.Y. Sirat, S. Shorte, L.P.O. Braitbart, L. Moisan, J.Y. Tinevez, J. Caron, C. Fallet), Microscopy and Microanalysis 19 (Suppl. 2), pp 1178-1179, 2013.
  download: published version
  
  
• ``A New A Contrario Approach for the Robust Determination of the Fundamental Matrix'' (Ferran Espuny, Pascal Monasse, Lionel Moisan), proceedings of GCCV'2013 (Workshop on Geometric Computation in Computer Vision), Lecture Notes in Computer Science 8334, pp. 181-192, 2013.
  download:
  
  
• ``Une Variante non Périodique du Sharpness Index'', in french (Arthur Leclaire, Lionel Moisan), actes du GRETSI, 2013.
  download:
  
  
• ``The Non-Accidentalness Principle for Visual Perception'' (Agnès Desolneux, Lionel Moisan, Jean-Michel Morel), in Handbook of Experimental Phenomenology: Visual Perception of Shape, Space and Appearance (ed L. Albertazzi), John Wiley & Sons, 2013.
  download: published version (DOI: 10.1002/9781118329016.ch21)
  
  
• ``A Dictionary Learning Approach for Poisson Image Deblurring'' (Liyan Ma, Lionel Moisan, Jian Yu, Tieyong Zeng), IEEE Transactions on Medical Imaging, vol. 32:7, pp. 1277-1289, 2013.
  download: published version / revised preprint (DOI: 10.1109/TMI.2013.2255883)
  
  
• ``Localization of protein aggregation in Escherichia coli is governed by diffusion and nucleoid macromolecular crowding effect'' (Anne-Sophie Coquel, Jean-Pascal Jacob, Maël Primet, Alice Demarez, Mariella Dimiccoli, Thomas Julou, Lionel Moisan, Ariel B. Lindner, Hugues Berry), PLOS Computational Biology 9(4):e1003038, 2013.
  download: (open source) published version (DOI: 10.1371/journal.pcbi.1003038)
  
  
• ``Blind Deblurring Using a Simplified Sharpness Index'' (Arthur Leclaire, Lionel Moisan), proceedings of the fourth International Conference on Scale Space and Variational Methods in Computer Vision (SSVM), Lecture Notes in Computer Science, vol. 7893, pp 86-97, 2013.
  download: published version / revised preprint   web page with source codes and images (DOI: 10.1007/978-3-642-38267-3_8)
  
  
• ``Optical measurement method and device'' (inventors: Gabriel Y. Sirat, Lionel Moisan, Louis Philippe Braitbart), patent number WO2013153294A1, november 2013.
  
  
  

  2012

  
  
  
• ``Multiparametric Analyses Reveal the pH-Dependence of Silicon Biomineralization in Diatoms'' (Vincent Hervé, Julien Derr, Stéphane Douady, Michelle Quinet, Lionel Moisan, Pascal Lopez), PLoS ONE 7(10): e46722, 2012.
  download: (open source) published version (DOI: 10.1371/journal.pone.0046722)
  
  
• ``Multiplicative Noise Removal via a Learned Dictionary'' (Yu-Mei Huang, Lionel Moisan, Michael K. Ng, Tieyong Zeng), IEEE Transactions on Image Processing vol 21:11, pp. 4534-4543, 2012.
  download: published version (DOI: 10.1109/TIP.2012.2205007)
  
  
• ``Automatic Homographic Registration of a Pair of Images, with A Contrario Elimination of Outliers'' (Lionel Moisan, Pierre Moulon, Pascal Monasse), Image Processing On Line, 2012.
  download:   web page with source code, online demo, and examples (DOI: 10.5201/ipol.2012.mmm-oh)
  
  
• ``Point tracking: an a-contrario approach'' (Maël Primet, Lionel Moisan), preprint MAP5 nº2012-06.
  download:   web page with source code, data and examples
  
  
• ``Intrinsic nonlinear multiscale image decomposition: A 2D empirical mode decomposition-like tool'' (El Hadji S. Diop, Radjesvarane Alexandre, Lionel Moisan), Computer Vision and Image Understanding, vol. 116:1, pp. 102-119, 2012.
  download: (DOI: 10.1016/j.cviu.2011.09.003)
  
  
• ``A Compact Representation of Random Phase and Gaussian Textures'' (Agnès Desolneux, Lionel Moisan, Samuel Ronsin), proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), pp. 1381-1384, 2012.
  download: published version / preprint (DOI: 10.1109/ICASSP.2012.6288148)
  
  
• ``An explicit Sharpness Index related to Global Phase Coherence'' (Gwendoline Blanchet, Lionel Moisan), proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), pp. 1065-1068, 2012.
  download: published version / preprint   web page with source codes and images (DOI: 10.1109/ICASSP.2012.6288070)
  
  
  

  2011

  
  
  
• ``Vers un texton pour les micro-textures'', in french (Agnès Desolneux, Lionel Moisan, Samuel Ronsin), actes du GRETSI, 2011.
  download:
  
  
• ``Total Variation as a local filter'' (Cécile Louchet, Lionel Moisan), SIAM Journal on Imaging Sciences, vol 4:2, pp. 651-694, 2011.
  download: published version   web page with examples (DOI: 10.1137/100785855)
  
  
• ``Periodic plus smooth image decomposition'' (Lionel Moisan), Journal of Mathematical Imaging and Vision, vol 39:2, pp. 161-179, 2011.
  download: published version (with a minor erratum here) / revised preprint   web page with source code (DOI: 10.1007/s10851-010-0227-1)
  
  
  

  2010

  
  
  
• ``Review of low-baseline stereo algorithms and benchmarks'' (Neus Sabater, Gwendoline Blanchet, Lionel Moisan, Andrés Almansa, Jean-Michel Morel), proceedings of SPIE, vol. 7830 (Image and Signal Processing for Remote Sensing XVI), 2010.
  download: published version (DOI: 10.1117/12.865087)
  
  
• ``An aliasing detection algorithm based on suspicious colocalizations of Fourier coefficients'' (Baptiste Coulange, Lionel Moisan), proceedings of the International Conference on Image Processing, pp. 2013-2016, 2010.
  download: published version / (revised preprint) (DOI: 10.1109/ICIP.2010.5651195)
  
  
• ``MAC-RANSAC: a robust algorithm for the recognition of multiple objects'' (Julien Rabin, Julie Delon, Yann Gousseau, Lionel Moisan), proceedings of 3DPTV'2010, 2010.
  download: (final version)   conference web page
  
  
• ``MAC-RANSAC : reconnaissance automatique d'objets multiples'', in french (Julien Rabin, Julie Delon, Yann Gousseau, Lionel Moisan), actes du congrès Reconnaissance des Formes et Intelligence Artificielle (RFIA), 2010.
  download:
  
  
• ``Automatic detection of well sampled images via a new ringing measure'' (Gwendoline Blanchet, Lionel Moisan, Bernard Rougé), proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), pp. 1030-1033, 2010 (this is a revised version of the MAP5 preprint 2009-10 entitled ``A-contrario Ringing Detection and Shannon-Compliant Images'')
  download: published version / revised preprint (DOI: 10.1109/ICASSP.2010.5495324)
  
  
• ``An a-contrario approach for sub-pixel change detection in satellite imagery'' (Amandine Robin, Lionel Moisan, Sylvie Le Hégarat-Mascle), IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 32:11, pp. 1977-1993, 2010.
  download: published version / preprint (DOI: 10.1109/TPAMI.2010.37)
  
  
  

  2009

  
  
  
• ``Débruitage Bayésien par Variation Totale'' (Cécile Louchet, Lionel Moisan), actes du colloque ``Méthodes mathématiques pour l'Image'', presses Universitaires d'Orléans pp. 83-102, 2009.
  
  
• ``A-contrario detectability of spots in textured backgrounds'' (Bénédicte Grosjean, Lionel Moisan), Journal of Mathematical Imaging and Vision, vol 33:3, pp. 313-337, 2009.
  download: published version / revised preprint (DOI: 10.1007/s10851-008-0111-4)
  
  
  

  2008

  
  
  
• ``Measuring the global phase coherence of an image'' (Gwendoline Blanchet, Lionel Moisan, Bernard Rougé), proceedings of the International Conference on Image Processing, pp. 1176-1179, 2008 (winner of the DoCoMo USA Labs Innovative Paper Awards at ICIP'08).
  download: published version / revised preprint   web page with source codes and images (DOI: 10.1109/ICIP.2008.4711970)
  
  
• ``Total Variation denoising using posterior expectation'' (Cécile Louchet, Lionel Moisan), proceedings of the European Signal Processing Conference (Eusipco), pp. 1-5, 2008 (best student paper award for Cécile Louchet at EUSIPCO 2008).
  download: published version / revised preprint
  
  
• From Gestalt Theory to Image Analysis. A Probabilistic Approach (Agnès Desolneux, Lionel Moisan, Jean-Michel Morel), Springer-Verlag, collection ``Interdisciplinary Applied Mathematics'', vol. #34, 275 pages, 2008. (DOI: 10.1007/978-0-387-74378-3)
  
  
• ``Tracking of Cells in a Sequence of Images Using a Low-Dimension Image Representation'' (Maël Primet, Alice Demarez, François Taddei, Ariel B. Lindner, Lionel Moisan), proceedings of IEEE International Symposium on Biomedical Imaging (ISBI'08), pp. 995-998, 2008.
  download: published version / preprint (DOI: 10.1109/ISBI.2008.4541166)
  
  
• ``Unsupervised sub-pixelic classification using coarse resolution time series and structural information'' (Amandine Robin, Sylvie Le Hégarat-Mascle, Lionel Moisan), IEEE Transactions on Geosciences and Remote Sensing 46:5 (special issue on Data fusion), pp. 1359-1374, 2008.
  download: published version / preprint (DOI: 10.1109/TGRS.2008.916477)
  
  
  

  2007

  
  
  
• ``How to discretize the Total Variation of an image?'' (Lionel Moisan), proceedings of ICIAM'07, Proc. Appl. Math. Mech. 7:1, pp. 1041907-1041908, 2007.
  download: published version (DOI: 10.1002/pamm.200700424)
  
  
• ``An unsupervised approach for subpixelic land-cover change detection'' (Amandine Robin, Lionel Moisan, Sylvie Le Hégarat-Mascle), proceedings of the International Workshop on the Analysis of Multi-temporal Remote Sensing Images (MultiTemp'07), pp. 1-6, 2007.
  download: published version / preprint (DOI: 10.1109/MULTITEMP.2007.4293061)
  
  
  

  2005

  
  
  
• ``A linear prefilter for image sampling with ringing artifact control'' (Gwendoline Blanchet, Lionel Moisan, Bernard Rougé), proceedings of the International Conference on Image Processing, vol. 3, pp. 577-580, 2005.
  download:
  
  
• ``A multiscale multitemporal land cover classification method using a Bayesian approach'' (Amandine Robin, Sylvie Le Hégarat-Mascle, Lionel Moisan), proceedings of SPIE Remote Sensing (Bruges), vol. 5982, pp. 598204.1-598204.12, 2005.
  download: (DOI: 10.1117/12.627604)
  
  
• ``Approche a contrario pour la détection de changements à partir d'images satellite basse résolution'' (Amandine Robin, Lionel Moisan, Sylvie Le Hégarat-Mascle), actes du GRETSI (Louvain-la-Neuve), 2005.
  download:
  
  
• ``Land cover classification from coarse resolution time series'' (Amandine Robin, Sylvie Le Hégarat-Mascle, Lionel Moisan, Hervé Poilvé), proceedings of the 31st International Symposium on Remote Sensing of Environment (St Petersbourg), 2005.
  download:
  
  
• ``Shape Smoothing and PDE's'' (Frédéric Guichard, Lionel Moisan, Jean-Michel Morel), book chapter in Handbook of Image and Video Processing, Al Bovik ed., pp. 573-586, 2005.
  
  
  

  2004

  
  
  
• ``A probabilistic criterion to detect rigid point matches between two images and estimate the fundamental matrix'' (Lionel Moisan, Bérenger Stival) , International Journal of Computer Vision, vol. 57:3, pp. 201-218, 2004.
  download: preprint      abstract   web page with source code
  
  
• ``Les mathématiques de l'image numérique'' (Lionel Moisan), Dossiers de l'ingénierie éducative : Les images numériques, Centre National de Documentation Pédagogique (CNDP), no. 47-48, juin-octobre 2004.
  download: (pre-version)    (final version with poor quality images)
  
  
• ``Gestalt Theory and Computer Vision'' (Agnès Desolneux, Lionel Moisan, Jean-Michel Morel), book chapter in Seeing, Thinking and Knowing, A. Carseti ed., pp. 71-101, Kluwer, 2004 (Abstract, PostScript of preprint, PDF of preprint).
  
  
  

  2003

  
  
  
• ``Computational Gestalts and Perception Thresholds'' (Agnès Desolneux, Lionel Moisan, Jean-Michel Morel), Journal of Physiology, Paris, vol. 97:2-3, special issue on neurogeometry and visual perception, pp. 311-324, 2003 (Abstract, HTML, PDF).
  
  
• ``On the Theory of Planar Shape'' (Jose-Luis Lisani, Lionel Moisan, Pascal Monasse, Jean-Michel Morel), SIAM Journal on Multiscale Modeling and Simulation, vol. 1, no. 1, pp. 1-24, 2003 (PostScript, PDF).
  
  
• ``Modèles continus, numériques et statistiques pour l'analyse d'images'' (Lionel Moisan), mémoire d'Habilitation à diriger des Recherches, Université Paris 11, 2003.
  
  
• ``Variational Snake Theory'' (Agnès Desolneux, Lionel Moisan, Jean-Michel Morel), book chapter in Geometric Level Set Methods in Imaging, Vision and Graphics, S. Osher and N. Paragios eds, Springer Verlag, pp. 79-99, 2003 (Abstract, PostScript of preprint, PDF of preprint).
  
  
• ``A Grouping Principle and Four Applications'' (Agnès Desolneux, Lionel Moisan, Jean-Michel Morel), IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 25, no. 4, 2003 (earlier version as a preprint CMLA Nº 2001-22 under the name ``Partial Gestalts'' Abstract, PostScript of preprint, PDF of preprint).
  
  
• ``Maximal Meaningful Events and Applications to Image Analysis'' (Agnès Desolneux, Lionel Moisan, Jean-Michel Morel), Annals of Statistics, vol. 31:6, pp. 1822-1851, 2003 (Abstract, PostScript of preprint, PDF of preprint).
  
  
• ``Method and system for producing formatted data related to defects of at least an appliance of a set, in particular, related to blurring'' (inventors: Laurent Chanas, Frédéric Guichard, Lionel Moisan, Bruno Liège), patent PCT WO 03/007242-A2, january 2003.
  
  
• ``Method and system for modifying a digital image taking into account its noise'' (inventors: Laurent Chanas, Frédéric Guichard, Lionel Moisan, Bruno Liège), patent PCT WO 03/007243-A2, january 2003.
  
  
  

  2002

  
  
  
• ``Automatic detection of rigid point matches'' (Lionel Moisan, Bérenger Stival), proceeding of the IEEE workshop on Motion and Video Computing, Orlando, pp. 235-240, 2002.
  
  
• ``A review of P.D.E. models in image processing and image analysis'', (Frédéric Guichard, Lionel Moisan, Jean-Michel Morel), Journal de Physique IV, vol. 12, pp. 137-154, 2002 (Abstract, PostScript of preprint, PDF of preprint).
  
  
• ``Dequantizing image orientation'' (Agnès Desolneux, Saïd Ladjal, Lionel Moisan, Jean-Michel Morel) , IEEE Transactions on Image Processing, vol. 11:10, pp. 1129-1140, 2002 (Abstract, PostScript, PDF).
  
  
• ``Geometric Computation of Curvature Driven Plane Curve Evolutions'' (Frédéric Cao, Lionel Moisan) , SIAM Journal on Numerical Analysis, vol. 39:2, pp. 624-646, 2002 (Abstract, PostScript of preprint, PDF of preprint).
  
  
  

  2001

  
  
  
• ``Automatic image analysis: a challenge for computer vision'' (Agnès Desolneux, Lionel Moisan, Jean-Michel Morel), actes du GRETSI, 2001 (PDF).
  
  
• ``Extrapolation de Spectre et Variation Totale Pondérée'' (Lionel Moisan), actes du GRETSI, 2001 (PDF, PostScript, PDF).
  
  
• ``Les défauts du DVD sous l'oeil de l'équation'' (Lionel Moisan, Jean-Michel Morel), La Recherche, mai 2001.
  
  
• ``Edge Detection by Helmholtz Principle'' (Agnès Desolneux, Lionel Moisan, Jean-Michel Morel), Journal of Mathematical Imaging and Vision, vol 14:3, pp 271-284, 2001 (PostScript, PDF).
  
  
  

  2000

  
  
  
• ``Shape Recognition Algorithm Robust under Partial Occlusions and Affine Deformations'' (José-Luis Lisani, Lionel Moisan, Pascal Monasse, Jean-Michel Morel), Proceedings of AMDO'2000 (Palma de Mallorca, Spain), Lecture Notes in Computer Science 1899, Springer, 2000.
  
  
• ``A stable numerical algorithm for generalized curve shortening flow'' (Frédéric Cao, Lionel Moisan), in Free Boundary Problems: Theory and Applications, Gatuko International Series, Mathematical Sciences and Applications 14, pp. 61-76, 2000.
  
  
• Petits problèmes de mathématiques appliquées et de modélisation, in french (Brigitte Bidégaray, Lionel Moisan), Springer, 2000, 145 p.
  
  
• ``Affine Invariant Mathematical Morphology Applied to a Generic Shape Recognition Algorithm'' (José-Luis Lisani, Lionel Moisan, Pascal Monasse, Jean-Michel Morel), Proceedings of the International Symposium on Mathematical Morphology (ISSM'2000, Palo Alto), 2000 (Abstract, PostScript of preprint, PDF of preprint).
  
  
• ``Meaningful Alignments'' (Agnès Desolneux, Lionel Moisan, Jean-Michel Morel), International Journal of Computer Vision, vol. 40:1, pp. 7-23, 2000 (PostScript, PDF).
  
  
  

  1999

  
  
  
• ``Geometric Multiscale Representation of Numerical Images'' (Georges Koepfler, Lionel Moisan), Proceedings of the Second International Conference on Scale-Space Theories in Computer Vision, Corfu, Greece, in Springer Lecture Notes in Computer Science, vol. 1682, pp. 339-350, 1999 (Abstract , PostScript, PDF).
  
  
  

  1998

  
  
  
• ``A Depth-Compatible Multiscale Analysis of Movies'' (Lionel Moisan), preprint CMLA Nº 9803 (Abstract , PostScript, PDF of preprint).
  
  
• ``PDE's, motion analysis, and 3D reconstruction from movies'' (Lionel Moisan), Proceedings of PDE Prague'98, in Partial Differential Equations - Theory and numerical solution, Chapman & Hall/CRC Research Notes in Mathematics, vol. 406, pp. 273-282, 1998 (PostScript, PDF).
  
  
• ``Affine Plane Curve Evolution: a Fully Consistent Scheme'' (Lionel Moisan), IEEE Transactions On Image Processing, vol. 7:3, pp. 411-420, 1998 (PostScript, PDF).
  
  
  

  1997

  
  
  
• ``Traitement numérique d'images et de films : équations aux dérivées partielles préservant forme et relief'' (Lionel Moisan), PhD dissertation, Ceremade, Paris-Dauphine University, 1997 (more information here)
  
  
  

  1995

  
  
  
• ``Traitement d'images'' (Lionel Moisan), Pour La Science, février 1995.
  
  
• ``Multiscale Analysis of Movies for Depth Recovery'' (Lionel Moisan), International Conference on Image Processing (ICIP'95, Washington), vol. 3, pp. 25-28, 1995.
  
  
• ``Perspective invariant multiscale analysis of movies'' (Lionel Moisan), International Symposium on Optical Science Engineering (SPIE'95, San Diego), vol. 2567, pp. 84-94, 1995 (PostScript, PDF).
  
  
• ``Analyse Multiéchelle de films pour la reconstruction du relief'' (Lionel Moisan), note au Compte rendu de l'Académie des Sciences, Paris, tome 320, série I, pp. 279-284, février 1995 (PostScript, PDF).

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