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References

Application Examples

  • [Giak2000] "Digital Restoration of Painting Cracks.", Ioannis Giakoumis and Ioannis Pitas, IEEE on Image Processing February 2000.
  • [Chet2002] "Finding defects in texture using regularity and local orientation.", D. Chetverikov and
  • [Lew2001] "Lifting Detail from Darkness", J.P.Lewis , ACM Siggraph 2001 Technical Sketch.

General Papers

  • Decision Systems.
    • [Scho1994] "Logique floue et régulation PID.", Henk Scholten, Publitronic 1994.
    • [Pedr1993] "Fuzzy Control and Fuzzy Systems.", Witold Pedrycz, Research Studies Press, J. Wiley 1993.
    • [Boni1992] "Attribute Fusion and Situation Assessment with a many-Valued Logic Approach. Multi-Target MultiSensor Tracking. Application Advances.", R.M.Yannone and P.P.Bonissone,Yaakov Bar-Shalom, Artech 1992.
  • Classification.
    • [Ther1989] "Decision, Estimation and Classification.", Charles W. Therrien, Naval Postgraduate School, Wiley 1989.
    • [Datt1994] "Numerical Linear Algebra and Applications.", Biswa Nath Datta, Brools/cole Publishing Company 1994.
  • Evolution and Fast Marching.
    • [Seth1985] "Curvature and the Evolution of Fronts.", Sethian , Report 1985, New York University.
    • [Seth1995] "A fast marching level set method for monotonically advancing fronts.", Sethian , Proceedings 1995, UCLA.
    • [cohe1996] "Global minimum for active contour models: A minimal path approach.", Cohen & Kimmel , Proceedings IEEE 1996, San Francisco.
    • [Adal1997] "The fast construction of extension velocities in level sets methods.", Adalsteinsson & Sethian , report 1997, UCLA.
    • [Kimm2001] "Optimal Algorithm for Shape from Shading and Path Planning.", Ron Kimmel, James A. Sethian, Kluweer Academic Publishers 2001 , Netherlands.

Restoration Papers

    A large number of restoration techniques will be used in this framework. They will help people to recover images of different kind. Also it is wise that people will select themselve the suitable restoration method:

  • General papers.
    • [Blak1987] "Visual Reconstruction.", A. Blake and A. Zisserman , The MIT Press, Cambridge, Massachusetts Institute of Technology 1987, London, England.
    • [Marq1999] "Explicit algorithms for a new time dependent model based on level set motion for nonlinear deblurring an noise removal.", Marquina & S. Osher , Report 1999, UCLA.
    • [Mraz199x] "Nonlinear Diffusion of Image Derivatives.", P. Mrazek , Report 199x, Czech Technical University.
  • Fast Recursive Filters and Implicit Restorations.
    • [Deri1993] "Recursively Implementing the Gaussian and Its Derivatives.", R. Deriche , Report 1893, 1993, INRIA, France.
    • [DeBr1999] "Recursive Digital Filters.",Victor De Brunner , John Wiley Encyclopedia of Electrical and Electronic Engineer 1999, Volume 18.
    • [Kim199x] "Project: Heat transfert with ADI and PCG-ILU.",Dr. Seongjai Kim , Dep of Mathematics, University of Kentucky, Lexington.
    • [Lai993] "An O(N) Iterative Solution to the Poisson Equation in Low-level Vision Problems.", Lai and Vemuri, Technical Report TR-93-035, 1993, Universty of Florida.
    • [Weic1998] "Efficient and Reliable Schemes for Nonlinear Diffusion Filtering.", Joachim Weickert, report 1998, Utrecht University Hospital.
    • [Weic1999] "Fast Parallel Algorithms for a Broad Class of Nonlinear Variational Diffusion Approaches.", Joachim Weickert & all, report 1999, University of Mannheim, Germany.
    • [Weic2000] "Efficient Image Segmentation Using Partial Differential Equations and Morphology.", Joachim Weickert & all, technical report February 2000, University of Mannheim, Germany.
  • Specialized diffusions.
    • [Mala1995] "Level Set methods for curvature flow, Image enhancement and shape recovery in medical imaging.", R. Malladi & J.A. Sethian, proceeding berlin 1995 , UCLA.
    • [Blom1997] "Color TV: Total Variation Methods for Restoration of Vector Valued Images.", Peter Blomgren & Tony Chan, report 1997 , UCLA.
    • [Kimm1998] "Image processing via beltrami operator.", Ron Kimmel, R. Malladi & all, report 1998 , UCLA/Technion.
    • [Korn1998] "Contribution à la restauration d'images et à l'analyse de séquences: Approches Variationnelles et Solutions de Viscosité.", P. Kornprobst & all,Inria 1998.
    • [Chan2000] "Digital TV filter and nonlinear denoising.", Tony Chan , Stanley Osher & Jianhong Shen, report 2000 , UCLA.
    • [Weic1998] "Coherence-Enhancing Diffusion of colour images.", Joachim Weickert, report 1998, Utrecht University Hospital.
    • [Tang1998] "Direction Diffusion.", Bei Tang, report 1999, University of Minnesota.
    • [Weic2000] "A Scheme for Coherence-Enhancing Diffusion Filtering with Optimize Rotation Invariance.", Joachim Weickert & H. Scharr, Computer Vision 2000.
    • [Leve2000] "Level Set Based segmentation with intensity and curvature priors.", Michael E. Leventon, O. Faugeras & all, MIT & Inria 2000.
  • Enhancement.
    • [Coul2000] "Dual Echo MR Image Processing using multi-spectral probabilistic coupled with shock filters.", O. Coulon & all, report 2000, University College of London.
    • [Tchu2001] "Constrained and unconstrained PDE's for vector image restoration.", D. Tchumperlé & Rachid Deriche, Inria 2001.
  • Wavelets, Lifting and Restoration.
    • [Uytt1997] "The Red Black Transform.", G. Uytterhoeven A. Bultheel, Report TW271 1997, Katholieke Universiteit Leuven, Belgium.
    • [Holm1999] "Solving Hyperbolic PDEs using Intrerpolating Wavelets.", Mats HolmStrom, SIAM 1999.
    • [Vasi2001] "Solving Multi-Dimensionnal Evolution Problems with LocalizedStructures Using Second Generation Wavelets.", Oleg V. Vasilyev, Report University Missouri-Columbia 2001.

Inpainting Papers

    • [Masn1998] "Level lines based disocclusion.", Simon Masnou & JM Morel, Report 1998, Ceremade Université de Paris-IX Dauphine, France.
    • [Masn1998] "Image Restoration involving connectedness.", Simon Masnou & JM Morel, Report 1998, Ceremade Université de Paris-IX Dauphine, France.
    • [Cao1998] "A Generalization of Absolutely Minimizing Lipschitz Extension.", Frederic Cao, Report June 1998, Ecole Normale Supérieure de Cachan, France.
    • [Cass1998] "Image Interpolation.", Vicent Caselles & all, Report July 1998, University of Palma de Mallorca, Spain.
    • [Cass1998] "An Axiomatic Appoach to Image Interpolation.", Vicent Caselles & all, Report July 1998, University of Palma de Mallorca, Spain.
    • [Bert2000] "Image Inpainting.", Marcelo Bertalmio & all, Report 2000, University of Pompeu Fabra, Spain.
    • [Oliv2001] "Fast Digital Image Inpainting.", Manuel M.Oliveira & all, Proceedings on the International Conference on Visualization, Marbella 2001, Spain.
    • [Ball2000] "A Variational Model for Filling-In.", C. Ballester, Marcelo Bertalmio & all, Report 2000, University of Pompeu Fabra, Spain.
    • [Ball2001] "Filling-In by Joint Interpolation of Vector Fields and Gray Levels.", C. Ballester, Marcelo Bertalmio & all, Report April 2001, University of Pompeu Fabra, Spain.
    • [Bert2001] "Navier-Stokes, Fluid Dynamics, and Image and Vidéo Inpainting.", Marcelo Bertalmio, Report 2001, University of Pompeu Fabra, Spain.
    • [Bert2001] "Processing of Flat and non-flat image information on arbitrary manifolds using Partial Differential Equations.", Marcelo Bertalmio, Thesis March 2001, University of Minnesota.
    • [Chan1999] "Mathematical Models for Local Non-Texture Inpaintings.", Tony F. Chan & J. Shen, Report UCLA 1999.
    • [Chan2000] "Non-Texture Inpainting by Curvature-Driven Diffusion (CDD).", Tony F. Chan & J. Shen, Report UCLA 2000.
    • [Chan2001] "Euler'sElastica and Curvature Based Inpaintings.", Tony F. Chan & J. Shen, Report UCLA 2001.
    • [Chan2001] "Morphological Invariant PDE Inpaintings.", Tony F. Chan & J. Shen, Report UCLA 2001.
    • [Chan2001] "Digital Inpainting Based On the Mumford-Shah-Euler Image Model.", Tony F. Chan & J. Shen, Report UCLA 2001.
    • [Wei2000] "Fast Texture Synthesis using Tree-structured Vector Quantization.", L-Yi Wei & Marc Levoy, Report Stanford 2000.
    • [Perl199x] "B-spline Wavelet Paint.", Ken Perlin & Luis Velho, Report New York 199x.