Vicent Caselles

RECENT PUBLICATIONS:

http://gpi.upf.edu/V. Caselles

- Analysis of a Variational Framework for Exemplar-Based Image Inpainting. P. Arias, V. Caselles, G. Facciolo. Submitted. 2012.

V Caselles, Flux limited generalized porous media diffusion equations

A NARROW BAND METHOD FOR THE CONVEX FORMULATION OF DISCRETE MULTI-LABEL PROBLEMS (BCGP_MMS09.pdf)

Multi-label depth estimation for graph cuts stereo problems. Technical report: technicalreport2Web.pdf

2007

- V. Caselles.
``Convergence of the 'relativistic' heat equation to the heat
equation as $c\to\infty$''. Publicacions Matemŕtiques 2007

- M. Alemán, L. Álvarez and V. Caselles.
``Texture-Oriented Anisotropic Filtering and Geodesic Active
Contours in Breast Tumor Ultrasound Segmentation''. To appear in
Journal of Mathematical Imaging and Vision.

- M. Bernot, V. Caselles, J.M. Morel. ``Branched Transportation Networks''.
Book submitted as Springer Lecture Notes.

- F. Alter, V. Caselles, ``Uniqueness of the Cheeger set of a convex  body''.

- V. Caselles, A. Chambolle, M. Novaga, ``The discontinuity set
of solutions of the TV denoising problem and some extensions''. To appear at SIAM
Multiscale Modeling and Simulation.

- V. Caselles, E. Meinhardt, P. Monasse, ``Constructing the tree of shapes of an image by fusion
of the trees of connected components of upper and lower level
sets''.

- G. Bellettini, V. Caselles, A. Chambolle, M. Novaga,
``The volume preserving crystalline mean curvature flow''.

2006

- V. Caselles, A. Chambolle and M. Novaga.
``Uniqueness of the Cheeger set of a convex body''. To appear in
Pacific Journal of Mathematics.

- M. Bertalmío, V. Caselles, E. Provenzi and A. Rizzi.
``Perceptual Color Correction Through Variational Techniques''.
To appear in IEEE Transactions on Image Processing.

- A. Almansa, V. Caselles and G. Haro, ``Total Variation
Regularized Image Restoration: the case of Perturbed Sampling''.
Multiscale Modeling and Simulation, 5(1) (2006), no. 1, 235 - 272.

- L. Igual, J. Preciozzi, L. Garrido, A. Almansa, V. Caselles, B. Rougé.
Automatic low baseline stereo in urban areas. Aceptado en Inverse
Problems and Imaging IPI.

- C. Ballester, V. Caselles, L. Igual, J. Verdera, and B. Rougé,
``A Variational Model for P+XS Image Fusion ''. IJCV, Vol 69 (1), pp 43-58, 2006.

- M. Bernot, V. Caselles, J.M. Morel. ``The structure of branched transportation
networks''. To appear in Calculus of Variations.

- F. Andreu, V. Caselles, J.M. Mazón, and S. Moll,
``A Diffusion Equation in Transparent Media''. To appear in
Journal of Evolution Equations.

- G. Facciolo, F. Lecumberry, A. Almansa, A. Pardo, V.
Caselles, ``Constrained Anisotropic Diffusion and some
Applications''.

- C. Ballester, V. Caselles, L. Igual, and L. Garrido, 'Level Lines Selection
with Variational Models for Segmentation and Encoding'.
Journal of Mathematical Imaging and Vision, Vol 27 (1), pp 5-27, 2006.

- V. Caselles, ``Total Variation based image denoising and
restoration''. International Congress of Mathematicians, August
2006. Madrid.

- A. Almansa, C. Ballester, V. Caselles, G. Haro. ``A TV based restoration model with local
constraints''. To appear at Journal Scientific Computing

- C. Ballester, M. Bertalmío, V. Caselles, L. Garrido, A. Marqués,
F. Ranchin. ``An Inpainting-based deinterlacing method''.
To appear in IEEE Transactions on Image Processing.

- M. Bertalmío, V. Caselles, A. Pardo, ``Movie Denoising by Average of Warped
Regions''. To appear in IEEE Transactions on Image Processing.

- V. Caselles, A. Chambolle, M. Novaga and S. Moll.
``A characterization of convex calibrable sets in $\R^N$ with
respect to anisotropic norms''.

2005

- F. Andreu, V. Caselles, J.M. Mazón, and S. Moll,
``Finite Propagation Speed for Limited Flux Diffusion Equations''.
Archive for Rational Mathematics and Mechanics 182 (2),
pp. 269-297, October 2006.

- V. Caselles, R. Kimmel ad G. Sapiro,
``Geometric Active Contours and Surfaces for Image
Segmentation''. Handbook of Image Processing, to appear.

-M. Bertalmio, J. Cardelino, V. Caselles and G. Randall, Region Based Segmentation Using the Tree of Shapes.

- A. Almansa, V. Caselles and G. Haro, ``Total Variation Regularized Image Restoration: the case of Perturbed Sampling''.,
To appear in Multiscale Modeling and Simulation.

- M. Aleman, L. Alvarez and V. Caselles, Texture-Oriented Anisotropic Filtering and Geodesic Active Contours in Breast Tumor Ultrasound Segmentation.

2004

- V. Caselles, G. Haro, G. Sapiro and J. Verdera,
   "On geometric variational models for inpainting surface holes",
   Preprint.

- V. Caselles, R. Donat, G. Haro, ``Flux-gradient and source term balancing for
certain high resolution shock-capturing schemes''. Preprint 2004.

- M. Bertalmío, V. Caselles, G. Haro, and G. Sapiro,
``PDE-Based Image and Surface Inpainting''. To appear in
Mathematical Models of Computer Vision: The Handbook. Nikos
Paragios, Yunmei Chen  and Olivier Faugeras, editors.

- V. Caselles, L. Igual and L. Garrido, ``A Contrast Invariant
Approach to Motion Estimation''. Scale-Space 2005. Copyright: Springer-Verlag.
http://www.springer.de/comp/lncs/index.html

-  M. Bernot, V. Caselles, and J.M. Morel,
   ''Traffic plans'',
   Preprint.

-  G. Bellettini, V. Caselles, A. Chambolle and M. Novaga,
   ''Crystalline mean curvature flow of convex sets'',
   Preprint.
    

-  F. Andreu, V. Caselles, J.M. Mazón, and S. Moll,
   ''On the relativistic heat equation and an asymptotic regime of it'',
   Preprint.

-  F. Andreu, V. Caselles, J.M. Mazón,
   ''The Cauchy Problem for a Strongly Degenerate Quasilinear Equation'',
   Preprint.
    ( paper)

-  V. Caselles, L. Igual, O. Sander,
   ''An Axiomatic Approach to Scalar Data Interpolation on Surfaces'',
   Preprint.
    ( paper)

-  C. Ballester, V. Caselles, B. Rougé, J. Verdera,
   ''A Variational Model for P+XS Image Fusion'',
   Preprint.
    ( paper)

-  G. Haro, M. Bertalmío and V. Caselles,
   ''Visual Acuity in Day for Night'',
   Preprint.
    ( paper)

- V. Caselles, A. Chambolle
  "Anisotropic curvature-driven flow of convex sets"
 Preprint
 (paper)

2003

-  F. Andreu, V. Caselles, J.M. Mazón,
   ''A Strongly Degenerate Quasilinear Equation: the Elliptic Case'',
   Preprint.
    ( paper)

-  F. Andreu, V. Caselles, J.M. Mazón,
   ''A Strongly Degenerate Quasilinear Equation: the Parabolic Case'',
   Preprint.
    ( paper)

-  F. Alter, V. Caselles, A. Chambolle,
   ''A characterization of convex calibrable sets in R^N'',
     Preprint.
    ( paper)

-  M. Bernot, V. Caselles, J.M. Morel,
   ''Are there infinite irrigation trees ?'',
   Preprint.
    ( paper)

- G. Bellettini, V. Caselles and M. Novaga,
   ``Explicit Solutions of the Eigenvalue Problem  -div(\frac{Du}{|Du|}) = u ''.
     Preprint.
    ( paper)

-  F. Alter, V. Caselles, A. Chambolle,
   ''Evolution of Convex Sets in the Plane by the Minimizing Total Variation Flow'',
     Preprint.
    ( paper )

-  C Ballester, V. Caselles and J.Verdera,
   ''Disocclusion by Joint Interpolation of Vector Fields and Gray Levels"
    SIAM journal: "Multiscale Modelling and Simulation", Volume 2, Number 1, Pages 80-123, 2003.
    ( paper)

-  J. Verdera, V. Caselles, M. Bertalmío and G. Sapiro,
   ''Inpainting Surface Holes''.
    Preprint.
    ( paper)

2002

-  Andrés Solé, Vicent Caselles, Guillermo Sapiro and Francisco Arándiga,
   ''Morse Description and Geometric Encoding of Digital Elevation Maps'',
    Preprint.
    ( paper )

-  F. Andreu, V. Caselles, J.M. Mazón,
   ''The Cauchy problem for linear growth functionals'',
   To appear in Journal of Evolution Equations.
    ( paper)

-  V. Caselles, J.M. Morel,
   ''Irrigation'',
   Preprint.
   ( paper)

-  F. Andreu, V. Caselles, J.M. Mazón and S. Moll,
   ''The Minimizing Total Variation Flow with measure initial conditions'',
   Preprint.
   ( paper)

-  C Ballester, V. Caselles, B. Rougé and J.Verdera,
   ''Une méthode géométrique de fusion pour des images P+XS'',
   Société Française de Photogrammétrie et de Télédétection (Bulletin No.169).
    ( paper)

-  M. Bertalmío, V. Caselles, B. Rougé and A. Solé,
   ''TV based image restoration with local constraints'',
   To appear in Journal Scientific Computing.
   ( paper)

-  Andrés Solé, Vicent Caselles, Guillermo Sapiro and Francisco Arándiga,
   ''Morse Description and Geometric Encoding of Digital Elevation Maps'',
    Preprint.
    (paper )

2001

-  L. Ambrosio, V. Caselles, S. Masnou and J.M. Morel,
   ''The Connected Components of Sets of Finite Perimeter'',
    European Journal of Mathematics, 3, pp. 39-92, 2001.
    ( paper )

-  F. Andreu, C Ballester, V. Caselles and J.M. Mazón,
   ''The Dirichlet Problem for the Total Variation Flow'',
   Journal Functional Analysis,180, pp. 347-403, 2001.
    ( paper)

-  F. Andreu, V. Caselles  and J.M. Mazón,
   ''A Parabolic Quasilinear Problem for Linear Growth Functionals'',
   To appear in Revista Matemática Iberoamericana. 2001.
     ( paper )

-  F. Andreu, C. Ballester, V. Caselles and J. M. Mazón,
    ''Minimizing Total Variation Flow'',
    Differential and Integral Equations, 14 (3), pp. 321-360, 2001.
    ( paper )

-  F. Andreu-Vaillo, V. Caselles and J.M. Mazón,
   ''Existence and Uniqueness of solutions for a Parabolic
   Quasilinear Problem for Linear Growth Functionals with L1 data'',
   To appear in Mathematisches Annalen. 2001.
     ( paper)

- G. Bellettini, V. Caselles and M. Novaga,
   ``The Total Variation Flow in R^N''. Preprint 2001.
    ( Abstract ) ( paper )

-  F. Andreu, V. Caselles, J.I. Diaz and J.M. Mazon,
   ''Qualitative Properties of the Total Variation Flow''.
   To appear in Journal Functional Analysis. 2001.
     ( paper)

-   C. Ballester, M. Bertalmío, V. Caselles, G. Sapiro and J. Verdera,
    ''Filling-In by Joint Interpolation of Vector Fields and Grey Levels'',
    IEEE Transactions on Image Processing, 10 (8), pp. 1200-1211, 2001.
    ( paper) ( images )

-   C. Ballester and V. Caselles,
    ''The M-components of level sets of continuous functions in WBV'',
    Publ. Mat, 45, pp. 477-527, 2001.
    ( paper) ( images )

-   C. Ballester, V. Caselles and P. Monasse,
    ''The tree of shapes of an image'',
    Preprint, C.M.L.A., No. 2001-02, ENS-Cachan, 2001.
    ( paper) ( images )

-  V. Caselles and P. Monasse,
     ``Grain Filters''.
     Preprint 2001.
     ( Abstract ) ( paper )

-  V. Caselles, B. Coll and J-M. Morel,
    ''Geometry and Color in Natural Images'',
    To appear in Journal of Mathematical Imaging and Vision.
    ( paper)

-  V. Caselles, G. Sapiro and B. Tang,
     ''Color Image Enhancement via Chromaticity Diffusion''.
    To appear in IEEE Transactions on Image Processing.
    (paper)

2000

-  F. Andreu, C Ballester, V. Caselles and J.M. Mazón,
    ''Minimizing Total Variation Flow'',
    Comptes Rendus Acad. Sciences, t 311, Sér. I, pp. 867-872, 2000.
    ( paper ) ( images )

-  V. Caselles, G. Sapiro and B. Tang,
    ''Diffusion of general data on non-flat manifolds via harmonic maps
    theory: The direction diffusion case'',
    Int. J. Computer Vision, 36(2), pp. 149-161, February 2000.
    (paper) ( images )

-  V. Caselles, G. Sapiro and D.H. Chung,
      ''Vector Median Filters, Vector Morphology, and Coupled PDE's:
      Theoretical Connections'',
      Journal of Mathematical Imaging and Vision, 12, pp. 109-120 (2000)
     ( paper) ( images )

1999

-  C. Ballester and V. Caselles,
      ''Some Properties of the Affine Total Variation'',
      Rev. Union. Mat. Argentina (Número dedicado a J. Bouillet), vol. 41 (1), 1999.
    ( paper ) ( images )

-  V. Caselles, B. Coll and J.M. Morel,
   ``Topographic maps and Local Contrast Changes in Natural Images'',
    Int. J. Computer Vision, 33(1), pp. 5-27, 1999.
    ( paper) ( images ) (IJCV_article)

-  V. Caselles, J.L. Lisani, J.M. Morel and G. Sapiro,
   ``Shape Preserving Local Histogram Modification,''
     IEEE Transactions on Image Processing, vol. 8 (2), pp. 220-230, 1999.
    ( paper ) ( images ) (IEEETIP_paper)

-  V. Caselles, B. Coll and J.M. Morel,
      ``Un model matematic per a l'analisi d'imatges'',
       Butlletí de la Societat Catalana de Matematiques,
       14(1), pp. 63-83, 1999.

1998

-  G. Garcia-Belmonte, J. Bisquert and V. Caselles,
     ''The small signal a.c. impedance of a short p-n junction diode'',
     Solid State Electronics, 42(6), 939-941, 1998.

-   V. Caselles, J.M. Morel, C. Sbert,
    ``An Axiomatic Approch to Image Interpolation'',
    IEEE Trans. Image Processing, vol. 7, No. 3, pp. 376-386, 1998.
    (paper)  (expanded version)

-   V. Caselles, J.M. Morel, G. Sapiro and A. Tannenbaum,
     ``Introduction to the special issue on partial differential equations
       and geometry-driven diffusion in image processing and analysis''
       IEEE Trans. Image Processing, vol. 7, No. 3, pp. 269-273, 1998.
    (paper)

1997

-  V. Caselles, B. Coll
     ''Snakes in movement''.
     SIAM J. Numer. Anal., 33, 2445 - 2456, 1997.

-. V. Caselles, G. Sapiro,
     ''Histogram Modification via Partial Differential Equations'',
     J. Diff. Equations, 135, 238- 268, 1997.

-  V. Caselles, R. Kimmel, G. Sapiro,
     ''Geodesic Active Contours'',
     Inter. Journal Computer Vision, 22(1), 61-79, 1997.
   (paper)

-  V. Caselles, R. Kimmel, G. Sapiro, C. Sbert,
     ''Minimal Surfaces: A Three Dimensional Segmentation Approach'',
     Numerische Mathematik, 77, no 4, pp. 423-451, 1997.

- V. Caselles, R. Kimmel, G. Sapiro, C. Sbert,
     ''Minimal Surfaces Based Object Segmentation'',
     IEEE Trans. Pattern Analysis Machine Intelligence,
     19(4), 394-398, 1997.
   (paper)

- G. Sapiro and V. Caselles,
     ``Contrast enhancement via image evolution flows,''
      Graphical Models and Image Processing,59(6), 407-416, 1997.

1996

-   C. Ballester, V. Caselles and M. Gonzalez,
     ''Affine invariant segmentation by variational method'',
     SIAM J. Appl. Math.56, 294-325, 1996.
    ( paper )

-   V. Caselles, C. Sbert,
     ''What is the best causal scale space for 3D images?'',
     SIAM J. Applied Math., 56, 1199-1246, 1996.
    ( paper) ( images )

-    F. Arándiga, V. Caselles,
     ''Multiresolution Approach to the Approximation of
     the Leading Eigenelements of some Neutron Transport Operators'',
     Trans. Th. and Stat. Physics, 25(2), 121-149, 1996.

-   V. Caselles, B. Coll and J.M. Morel,
     ''A Kanizsa Programme'',
     Progress in Nonlinear Differential Equs. and their Applications,
     25, 35-55, 1996.
    ( paper ) ( images )

1994-

-   A. Martinez-Chaparro, P. Salvador, A. Mir, B. Coll, V. Caselles,
     ''Photoelectrochemical imaging at the GaAs/Si (001) - Liquid Junction'',
     Inst. of Physics Conf. Ser. 135, 263-266, 1994.

-. V. Caselles, F. Catté, B. Coll, F. Dibos,
     ''A geometric model for edge detection'',
     Num. Mathematik, 66, 1-31, 1993.

-   A.Martinez-Chaparro, P. Salvador, A. Tabernero, R. Navarro, B. Coll, V. Caselles,
     ''Charge recombination imaging at the WSe2/I- Interface'',
     Surface Science, 295, 457-461, 1993.

For older publications see CV-Vicent.pdf in http://www.gpi.upf.edu/profile/116

Publications in Conferences

-  M. Bertalmío, V. Caselles, B. Rougé and A. Solé,
   ''Total Variation Image Restoration with Local Constraints'',
   EUSIPCO 2002.
    ( paper)

-  V. Caselles,
    "La geometría de las imágenes en color".
    Conferencia organizada por P. Bonet,
    Enero 2002.fichero con imágenes y texto
   (zip compressed version) ()

-  V. Caselles and J. Verdera,
    "La geometria de les imatges".
    Conferencia a la Facultat de BBAA de la Universitat Politecnica de Valencia,
    Febrer 2001.
   (paper)  (zip compressed version)
 

-  C. Ballester, M. Bertalmio, V. Caselles, G. Sapiro and J. Verdera.
     ''Filling-In Interpolation by Variational Method''.
     ICCV, Vancouver, Canada July 9-12, 2001.
    ( paper)

-   C. Ballester, M. Bertalmío, V. Caselles and G. Sapiro,
    ''Image Inpainting'',
    Computer Graphics (SIGGRAPH) 2000.
    ( paper ) ( images )

-  V. Caselles, G. Sapiro and B. Tang,
    ``Chromaticity Diffusion,''
     Proceedings of the ICIP 2000.
    (paper)

-  V. Caselles, G. Sapiro and B. Tang,
   ``Direction Diffusion,''
    Proceedings of the International Conference on Computer Vision,
     ICCV 99, Greece, September 1999.
     (paper)

-  V. Caselles, G. Sapiro and D.H. Chung,
  ``Vector Median Filters, Vector Morphology, and Coupled PDE's: Theoretical Connections,''
    Proceedings of the ICIP 99, Japan, October 1999.
   (paper)

-  V. Caselles, S. Masnou, J.M. Morel and C. Sbert,
    ``Image Interpolation'',
      Seminaire de l'École Polytechnique, Palaiseau, Paris, 1998.
     (paper )

-   V. Caselles, B. Coll and J. M. Morel,
    ''Scale space versus Topographic Map for Natural Images'',
     Scale-space 97, Utrecht, July 1997, Springer Verlag, 1997.
     ( paper)

-   V. Caselles,
   ``Geometric Models for Active Contours'',
    Proc. Int. Conf. on Image Processing, Washington, October, 1995.
     (paper )

-   V. Caselles and L. Rudin,
      ``Multiscale Total Variation'',
      Second European Conference on Image Processing, Palma,
      Spain, September 1995.
     ( paper )

-  V. Caselles and C. Sbert,
   ``What is the best causal scale space for 3D images?'',
    Eighth Workshop on Image and Multidimensional Signal Processing.
     IEEE Signal Processing Soc. Cannes September 8-10,1993.

-  C. Ballester, V. Caselles and M. Gonz\'alez,
   ``Affine invariant segmentation by variational methods'',
      RFIA '94. Neuvi\`eme Congr\`es Reconnaissance des Formes et
      Intelligence Artificielle, Paris 11-14 Janvier 1994 (AFCET).

-  V. Caselles and G. Sapiro,
   ``Histogram modification via partial differential equations,''
    Proc. Second IEEE-International Conference on Image Processing,
    Washington DC, October 1995.

-  V. Caselles and G. Sapiro,
    ``Simultaneous contrast improvement
     and denoising via diffusion related equations,''
     Proc. SPIE Vision Geometry, San Diego, July 1995.

-  G. Sapiro, R. Kimmel, and V. Caselles,
     ``Object detection and measurements in medical
      images via geodesic deformable contours,''
      Proc. SPIE Vision Geometry, San Diego, July 1995.

-  V. Caselles and G. Sapiro,
    ``An image evolution approach for contrast enhancement in law enforcement data,''
     Proc. SPIE-Investigative and Trial Image Processing,
     San Diego, July 1995.

-  V. Caselles, R. Kimmel, and G. Sapiro,
    ``Geodesic active contours,''
    Proc. Int. Conf. Computer Vision, Boston, June 1995.
   (paper)

-  R. Malladi, R. Kimmel, D. Adalsteinsson, G. Sapiro, V. Caselles, and J. A. Sethian,
   ``A geometric approach to segmentation and analysis of 3D medical images,''
     Proc. Mathematical Methods in Biomedical Image Analysis Workshop,
    San Francisco, June 21-22, 1996.
   (paper)

-  V. Caselles, R. Kimmel, G. Sapiro, and C. Sbert,
    ``Three-dimensional object modeling via minimal surfaces.''
    Proc. European Conference on Computer Vision, Cambridge-UK, April 1996.

-  Caselles, R. Kimmel, G. Sapiro, and C. Sbert,
    ``3D Active Contours.''
    12th International Conference on Analysis and Optimization of
   Systems Images, Wavelets and PDE's, ICAOS'96, Paris, June 26-28, 1996.

-  V. Caselles, B. Coll et J. M. Morel,
    ``Junction Detection and Filtering : A morphological  Approach'',
      Proc. Int. Conf. on Image Processing, pp. 493-496,
      Lausanne, 16-19 Septembre 1996.
     (paper)

-  V. Caselles, J.M. Morel and C. Sbert,
    ``Axiomatic Approach to Image Interpolation'',
      Proc. 3rd Catalan Days on Applied mathematics,
     J. Chavarriga and J. Giné eds., pp. 27-37, November 27-29, Lleida, Spain, 1996.

-  V. Caselles, J-L. Lisani, J-M. Morel, and G. Sapiro,
   ``Shape preserving local contrast enhancement,''
     Proc. IEEE-International Conference on Image Processing,
    Santa Barbara, California, October 1997.
   (paper)

-   V. Caselles, J.M. Morel and C. Sbert,
    ``An Axiomatic Approach to Image Interpolation'',
     Proc. IEEE-International Conference on Image Processing,
    Santa Barbara, California, October 1997.
    (paper)

-  F. Cao, V. Caselles, J.M: Morel and C. Sbert,
   ``An axiomatic Approach to Image Interpolation'',
    Proceedings of the Conference Partial Differential Equations, Theory and Numerical Solutions,
    Prague, August 10-15, 1998.
 

For older publications see CV-Vicent.pdf in http://www.gpi.upf.edu/profile/116