Simon MASNOU

Professor

Institut Camille Jordan
CNRS UMR 5208
Université Lyon 1
43, Boulevard du 11 novembre 1918
69622 Villeurbanne Cedex
France

Room 253 (2nd floor)
Phone: + 33 (0)4 72 43 13 86
Fax: + 33 (0)4 72 43 16 87
Email: masnou 'at' math.univ-lyon1.fr

Research interests

Image processing
Shape optimization
Calculus of variations
Geometric Measure Theory

Responsibilities

Representative of the team Mathematical modelling and scientific computing at Institut Camille Jordan (see the activity report for the period 2009-2014)
Member of National University Council (CNU, section 26)
Member of Labex MILyon Executive Committee

Research projects

Member of ANR project GEOMETRYA (Geometric measure theory and its applications, 2012-2017)
Member of ANR project MIRIAM (Restauration multi-images : des mathématiques appliquées à l'industrie de l'imagerie, 2014-2018)
Member of PGMO project COCA (Connexions Optimales, Calcul et Approximations, 2016-2018).

Thesis supervision

PhD thesis
Thuc Trinh Le, 2015- Inpainting vidéo par méthodes non locales (cosupervised with Andrés Almansa (Paris 5) and Yann Gousseau (Telecom ParisTech))
Chih-Kang Huang, 2015- Surfaces de Willmore (cosupervised with Olivier Druet, Lyon)
Simone Parisotto, 2015- Anisotropy in image processing (main supervisor: Carola-Bibiane Schönlieb, Cambridge)
François Dayrens, 2013-2016, Mouvements minimisants et flots-gradient pour des fonctionnelles géométriques d'ordre deux (cosupervised with Matteo Novaga, Pisa).
Blanche Buet, 2011-2014, Approximation de surfaces par des varifolds discrets : représentation, rectifiabilité, courbure (cosupervised with Gian Paolo Leonardi, Modena).
Xiaofang Wang, 2011-2015, Méthodes de graphe pour la segmentation d'images et le suivi d'objets dynamiques (cosupervised with Liming Chen, Centrale Lyon)
Giacomo Nardi, 2008-2011, On a characterization of the relaxation of a generalized Willmore functional

Tesi di laurea of Simone Parisotto, 2013-2014, Variational Methods in Image Processing for Inpainting and Shadow Removal (cosupervised with G. Orlandi, Verona)

Teaching

Fondamentaux des mathématiques I (Cours), L1 Mathématiques générales et applications
Analyse appliquée aux Équations aux dérivées partielles (Cours), M1 Mathématiques générales
Outils d'analyse pour les EDP (Cours), M2 Mathématiques avancées
Analyse matricielle (TD), L3 Mathématiques générales et applications

Manuscripts

Accreditation to supervise research (Habilitation à diriger des recherches): Questions variationnelles autour d'un problème de restauration d'images (defended on Dec 1st, 2008, Univ. Paris 6).
PhD thesis: Filtrage et désocclusion d'images par méthodes d'ensembles de niveau (defended on Dec 15, 1998, Univ. Paris-Dauphine).

Publications / Preprints

E. Bretin, F. Dayrens, S. Masnou, Volume reconstruction from slices, submitted, 2017.
T. Trinh Le, A. Almansa, Y. Gousseau, S. Masnou, Motion-Consistent Video Inpainting, submitted, 2017, see the project page
B. Buet, G.P. Leonardi, and S. Masnou, A varifold approach to surface approximation, Archive for Rational Mechanics and Analysis, accepted, 2017.
E. Bretin and S. Masnou, A new phase field model for inhomogeneous minimal partitions, and applications to droplets dynamics, Interfaces and Free Boundaries, accepted, 2017.
F. Dayrens, S. Masnou, and M. Novaga, Existence, regularity and structure of confined elasticae, ESAIM:COCV, to appear, 2017.
J. Dalphin, A. Henrot, S. Masnou, and T. Takahashi, On the minimization of total mean curvature, J. Geometric Analysis, 26(4):2729-2750, 2016.
X. Wang, B. Gao, S. Masnou, L. Chen, I. Theurkauff, C. Cottin-Bizonne, Y. Zhao, F. Shih, Active colloids segmentation and tracking, Pattern Recognition, 60:177-188, 2016.
B. Buet, G.P. Leonardi, S. Masnou Discrete varifolds: a unified framework for discrete approximations of surfaces and mean curvature, Proc. SSVM2015, LNCS volume 9087, 2015.
X. Wang, Y. Tang, S. Masnou, and L. Chen A Global/Local Affinity Graph for Image Segmentation, IEEE Trans. Image Processing, 24(4): 1399-1411, 2015.
E. Bretin, S. Masnou, and E. Oudet Phase-field approximations of the Willmore functional and flow, Numerische Mathematik, 131(1):115-171, 2015.
Y. Tang, X. Wang, E. Dellandrea, S. Masnou, and L. Chen, Fusing generic objectness and deformable part-based models for weakly supervised object detection, Proc. IEEE International Conference on Image Processing, Paris, pp. 4072-4076. 2014.
E. Bretin, S. Masnou, and E. Oudet Phase-field models for the approximation of the Willmore functional and flow, ESAIM: ProcS 45 118-127, 2014.
X. Wang, H. Li, S. Masnou, and L. Chen Sparse coding and mid-level superpixel-feature for l0-graph based unsupervised image segmentation, Computer Analysis of Images and Patterns, II:160-168, Lecture Notes in Comput. Sci., 8048, 2013.
X. Wang, H. Li, C.-E. Bichot, S. Masnou, and L. Chen A graph-cut approach to image segmentation using an affinity graph based on l0-sparse representation of features, IEEE International Conference on Image Processing, Melbourne (Australia), 2013.
X. Wang, C. Zhu, C.-E. Bichot, S. Masnou Graph-based image segmentation using weighted color patch, IEEE International Conference on Image Processing, Melbourne (Australia), 2013.
S. Masnou and G. Nardi, Gradient Young measures, varifolds, and a generalized Willmore functional, Advances in Calculus of Variations, 6(4):433-482, 2013.
S. Masnou and G. Nardi, A coarea-type formula for the relaxation of a generalized elastica functional, Journal of Convex Analysis, 20(3): 617-653, 2013.
T. Schoenemann, F. Kahl, S. Masnou, and D. Cremers, A linear framework for region-based image segmentation and inpainting involving curvature penalization, International Journal of Computer Vision, 99:1, pages 53-68, 2012.
F. Cao, Y. Gousseau, S. Masnou and P. Pérez, Geometrically guided exemplar-based inpainting, SIAM Journal on Imaging Sciences 4(4), pp. 1143-1179, 2011.
T. Schoenemann, S. Masnou and D. Cremers, The elastic ratio: introducing curvature into ratio-based globally optimal image segmentation, IEEE Transactions on Image Processing, 20(9), pp 2565-2581, 2011.
T. Schoenemann, S. Masnou, and D. Cremers, On a linear programming approach to the discrete Willmore boundary value problem and generalizations, J.-D. Boissonnat et al. (Eds.): Curves and Surfaces 2011, LNCS 6920, pp. 629--646. Springer, Heidelberg (2011).
M. Bertalmío, V. Caselles, S. Masnou, and G. Sapiro, Inpainting, Encyclopedia of Computer Vision, Springer, 2011.
A. Buades, J. Delon, Y. Gousseau, and S. Masnou, Adaptive blotches detection for film restoration, IEEE Int. Conference on Image Processing, Hong-Kong, sept. 2010.
J.-F. Aujol, S. Ladjal and S. Masnou, Exemplar-based inpainting from a variational point of view, SIAM Journal on Mathematical Analysis, 42(3):1246-1285, 2010.
G.P Leonardi and S. Masnou. Locality of the mean curvature of rectifiable varifolds, Advances in Calculus of variations, 2(1):17-42, 2009.
S. Masnou and J.-M. Morel. On a variational theory of image amodal completion. Rendiconti del Seminario Matematico della Università di Padova, 116:211-252, 2006.
G.P. Leonardi and S. Masnou. On the isoperimetric problem in the Heisenberg group Hn. Annali di Matematica Pura ed Applicata, 184(4):533-553, 2005.
L. Ambrosio and S. Masnou. A direct variational approach to a problem arising in image reconstruction, Interfaces and Free Boundaries, 5:63-81, 2003.
L. Ambrosio and S. Masnou. On a variational problem arising in image reconstruction. In Proc. Free Boundary Problems (Trento, 2002). Internat. Series of Num. Math., 147, Birkhaser, Basel, 2004.
S. Masnou. Disocclusion : a variational approach using level lines, IEEE Trans. On Image Processing, 11(2):68-76, 2002.
V. Caselles, S. Masnou, et J.-M. Morel. La vision, une machine géométrique ? La Recherche, Octobre 2001.
L. Ambrosio, V. Caselles, S. Masnou and J.-M. Morel. Connected components of sets of finite perimeter and applications to image processing, Journal of the European Mathematical Society, 3:39-92, 2001.
V. Caselles, S. Masnou, J.-M. Morel and C. Sbert. Image interpolation, Notes du Séminaire Equations aux Dérivées Partielles, vol. XII. Ecole Polytechnique, 1998.
S. Masnou et J.-M. Morel. La formalisation mathématique du traitement des images, C.R. Journée annuelle de la Société Mathématique de France (Trois Applications des Mathématiques), 1-14, 1998.
S. Masnou and J.-M. Morel. Image restoration involving connectedness, Proc. DIP'97 (Wien), vol. 3346, 84-95. SPIE, 1998.
S. Masnou and J.-M. Morel. Level lines based disocclusion, Proc. IEEE ICIP (Chicago 1998), vol.3, 259-263, 1998.
S. Masnou et J.-M. Morel. Restauration d'images et filtres de Yaroslavsky, Proc. Gretsi'97 (Grenoble), 1233-1236, 1997.

Past local events

Thematic period on Calculus of variations, optimal transportation, and geometric measure theory: from theory to applications, Lyon, June 27-- July 15, 2016.
Journées de l'ANR Geometrya / Onzièmes rencontres d'analyse, Oct. 11-12, 2012, Lyon.
Conférence Mathématiques et grandes dimensions -- de la théorie aux développements industriels (Mathematics and High dimensions: from theory to industrial applications), Dec 10, 2012, Lyon
Seconde Semaine d'Etude Mathématiques et Entreprises (SEME, Study Group for Industry), Nov. 28--Dec 2, 2011, Lyon