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Level Set and PDE Based Reconstruction Methods in Imaging

Cetraro, Italy 2008, Editors: Martin Burger, Stanley Osher

  • Book
  • © 2013

Overview

Authors:
  1. Martin Burger

    1. Institute for Computational and Applied Mathematics, University of Münster, Münster, Germany

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  2. Andrea C.G. Mennucci

    1. Scuola Normale Superiore, Pisa, Italy

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  3. Stanley Osher

    1. Department of Mathematics, University of California, Los Angeles, USA

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  4. Martin Rumpf

    1. Institute for Numerical Simulation, University of Bonn, Bonn, Germany

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  • Examines a very timely subject at the core of mathematical imaging, a field growing at enormous speed
  • State of the art methods in image analysis, image reconstruction and shape analysis, combining analysis, computation, and applications will attract researchers from a broad range of fields (mathematics, computer sciences, engineering,...)
  • There is no comparable volume on the subjects covered
  • Includes supplementary material: sn.pub/extras

Part of the book series: Lecture Notes in Mathematics (LNM, volume 2090)

Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)

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Table of contents (4 chapters)

  1. Front Matter

    Pages i-vii
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  2. A Guide to the TV Zoo

    • Martin Burger, Stanley Osher
    Pages 1-70

  3. EM-TV Methods for Inverse Problems with Poisson Noise

    • Alex Sawatzky, Christoph Brune, Thomas Kösters, Frank Wübbeling, Martin Burger
    Pages 71-142

  4. Variational Methods in Image Matching and Motion Extraction

    • Martin Rumpf
    Pages 143-204

  5. Metrics of Curves in Shape Optimization and Analysis

    • Andrea C. G. Mennucci
    Pages 205-319

  6. Back Matter

    Pages 321-322
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Keywords

About this book

This book takes readers on a tour through modern methods in image analysis and reconstruction based on level set and PDE techniques, the major focus being on morphological and geometric structures in images. The aspects covered include edge-sharpening image reconstruction and denoising, segmentation and shape analysis in images, and image matching. For each, the lecture notes provide insights into the basic analysis of modern variational and PDE-based techniques, as well as computational aspects and applications.

Authors and Affiliations

  • Institute for Computational and Applied Mathematics, University of Münster, Münster, Germany

    Martin Burger

  • Scuola Normale Superiore, Pisa, Italy

    Andrea C.G. Mennucci

  • Department of Mathematics, University of California, Los Angeles, USA

    Stanley Osher

  • Institute for Numerical Simulation, University of Bonn, Bonn, Germany

    Martin Rumpf

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