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  • Book
  • © 2013

Level Set and PDE Based Reconstruction Methods in Imaging

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

  • 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
  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. Metrics of Curves in Shape Optimization and Analysis

    • Andrea C. G. Mennucci
    Pages 205-319
  5. Back Matter

    Pages 321-322

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.

Keywords

  • 94A08,35Q94,68U10,65K10,35J20,45Q05,53C44
  • Image Analysis
  • Image Reconstruction
  • Inverse Problems
  • Shape Spaces
  • Variational Methods in Imaging
  • partial differential equations

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

Bibliographic Information

  • Book Title: Level Set and PDE Based Reconstruction Methods in Imaging

  • Book Subtitle: Cetraro, Italy 2008, Editors: Martin Burger, Stanley Osher

  • Authors: Martin Burger, Andrea C.G. Mennucci, Stanley Osher, Martin Rumpf

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/978-3-319-01712-9

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing Switzerland 2013

  • Softcover ISBN: 978-3-319-01711-2Published: 28 October 2013

  • eBook ISBN: 978-3-319-01712-9Published: 17 October 2013

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VII, 319

  • Number of Illustrations: 48 b/w illustrations, 40 illustrations in colour

  • Topics: Differential Equations, Computational Mathematics and Numerical Analysis, Computer Vision

Buying options

eBook USD 44.99
Price excludes VAT (Canada)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 59.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions