Image Processing Based on Partial Differential Equations

Proceedings of the International Conference on PDE-Based Image Processing and Related Inverse Problems, CMA, Oslo, August 8–12, 2005

Editors:

ISBN: 978-3-540-33266-4 (Print) 978-3-540-33267-1 (Online)

Table of contents (22 chapters)

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  1. Front Matter

    Pages I-IX

  2. Digital Image Inpainting, Image Dejittering, and Optical Flow Estimation

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-22

      Image Inpainting Using a TV-Stokes Equation

    3. No Access

      Book Chapter

      Pages 23-34

      Error Analysis for H1 Based Wavelet Interpolations

    4. No Access

      Book Chapter

      Pages 35-55

      Image Dejittering Based on Slicing Moments

    5. No Access

      Book Chapter

      Pages 57-66

      CLG Method for Optical Flow Estimation Based on Gradient Constancy Assumption

  3. Denoising and Total Variation Methods

    1. Front Matter

      Pages 68-68

    2. No Access

      Book Chapter

      Pages 69-94

      On Multigrids for Solving a Class of Improved Total Variation Based Staircasing Reduction Models

    3. No Access

      Book Chapter

      Pages 95-108

      A Method for Total Variation-based Reconstruction of Noisy and Blurred Images

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      Book Chapter

      Pages 109-122

      Minimization of an Edge-Preserving Regularization Functional by Conjugate Gradient Type Methods

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      Book Chapter

      Pages 123-148

      A Newton-type Total Variation Diminishing Flow

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      Book Chapter

      Pages 149-161

      Chromaticity Denoising using Solution to the Skorokhod Problem

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      Book Chapter

      Pages 163-172

      Improved 3D Reconstruction of Interphase Chromosomes Based on Nonlinear Diffusion Filtering

  4. Image Segmentation

    1. Front Matter

      Pages 174-174

    2. No Access

      Book Chapter

      Pages 175-210

      Some Recent Developments in Variational Image Segmentation

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      Book Chapter

      Pages 211-228

      Application of Non-Convex BV Regularization for Image Segmentation

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      Book Chapter

      Pages 229-248

      Region-Based Variational Problems and Normal Alignment – Geometric Interpretation of Descent PDEs

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      Book Chapter

      Pages 249-262

      Fast PCLSM with Newton Updating Algorithm

  5. Fast Numerical Methods

    1. Front Matter

      Pages 264-264

    2. No Access

      Book Chapter

      Pages 265-288

      Nonlinear Multilevel Schemes for Solving the Total Variation Image Minimization Problem

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      Book Chapter

      Pages 289-308

      Fast Implementation of Piecewise Constant Level Set Methods

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      Book Chapter

      Pages 309-324

      The Multigrid Image Transform

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      Book Chapter

      Pages 325-339

      Minimally Stochastic Schemes for Singular Diffusion Equations

  6. Image Registration

    1. Front Matter

      Pages 342-342

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      Book Chapter

      Pages 343-361

      Total Variation Based Image Registration

    3. No Access

      Book Chapter

      Pages 363-377

      Variational Image Registration Allowing for Discontinuities in the Displacement Field

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