Variational Methods in Imaging

ISBN: 978-0-387-30931-6 (Print) 978-0-387-69277-7 (Online)
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Table of contents (10 chapters)

  1. Front Matter

    Pages I-XIII

  2. Fundamentals of Imaging

    1. Front Matter

      Pages 1-1

    2. Book Chapter

      Pages 3-25

      Case Examples of Imaging

    3. Book Chapter

      Pages 27-49

      Image and Noise Models

  3. Regularization

    1. Front Matter

      Pages 51-51

    2. Book Chapter

      Pages 53-113

      Variational Regularization Methods for the Solution of Inverse Problems

    3. Book Chapter

      Pages 115-158

      Convex Regularization Methods for Denoising

    4. Book Chapter

      Pages 159-183

      Variational Calculus for Non-convex Regularization

    5. Book Chapter

      Pages 185-203

      Semi-group Theory and Scale Spaces

    6. Book Chapter

      Pages 205-218

      Inverse Scale Spaces

  4. Mathematical Foundations

    1. Front Matter

      Pages 219-219

    2. Book Chapter

      Pages 221-238

      Functional Analysis

    3. Book Chapter

      Pages 239-272

      Weakly Differentiable Functions

    4. Book Chapter

      Pages 273-286

      Convex Analysis and Calculus of Variations

  5. Back Matter

    Pages 287-320