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Geometric Level Set Methods in Imaging, Vision, and Graphics

  • Book
  • © 2003

Overview

Authors:
  1. Stanley Osher

    1. Department of Mathematics, UCLA, Los Angeles, USA

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    You can also search for this author in PubMed   Google Scholar

  2. Nikos Paragios

    1. Imaging and Visualizing Department, Siemens Corporate Research, Princeton, USA

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    You can also search for this author in PubMed   Google Scholar

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Table of contents (24 chapters)

  1. Front Matter

    Pages i-xxix
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  2. Level Set Methods & Lagrangian Approaches

    1. Front Matter

      Pages 1-1
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    2. Level Set Methods

      • Stanley Osher
      Pages 3-20

    3. Deformable Models: Classic, Topology-Adaptive and Generalized Formulations

      • Demetri Terzopoulos
      Pages 21-40

  3. Edge Detection & Boundary Extraction

    1. Front Matter

      Pages 41-41
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    2. Fast Methods for Implicit Active Contour Models

      • Joachim Weickert, Gerald Kühne
      Pages 43-57

    3. Fast Edge Integration

      • Ron Kimmel
      Pages 59-77

    4. Variational Snake Theory

      • Agnès Desolneux, Lionel Moisan, Jean-Michel Morel
      Pages 79-99

  4. Scalar & Vector Image Reconstruction, Restoration

    1. Front Matter

      Pages 101-101
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    2. Multiplicative Denoising and Deblurring: Theory and Algorithms

      • Leonid Rudin, Pierre-Luis Lions, Stanley Osher
      Pages 103-119

    3. Total Variation Minimization for Scalar/Vector Regularization

      • Francoise Dibos, Georges Koepfler, Pascal Monasse
      Pages 121-140

    4. Morphological Global Reconstruction and Levelings: Lattice and PDE Approaches

      • Petros Maragos
      Pages 141-155

  5. Grouping

    1. Front Matter

      Pages 157-157
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    2. Fast Marching Techniques for Visual Grouping & Segmentation

      • Eftychis Sifakis, George Tziritas
      Pages 159-174

    3. Multiphase Object Detection and Image Segmentation

      • Luminita Vese
      Pages 175-194

    4. Adaptive Segmentation of Vector Valued Images

      • Mikaël Rousson, Rachid Deriche
      Pages 195-205

    5. Mumford-Shah for Segmentation and Stereo

      • Anthony Yezzi, Stefano Soatto, Hailin Jin, Andy Tsai, Alan Willsky
      Pages 207-227

  6. Knowledge-based Segmentation & Registration

    1. Front Matter

      Pages 229-229
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    2. Shape Analysis towards Model-based Segmentation

      • Nikos Paragios, Mikael Rousson
      Pages 231-250

    3. Joint Image Registration and Segmentation

      • Baba Vemuri, Yunmei Chen
      Pages 251-269
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Keywords

About this book

Introduction Imageprocessing,computervisionandcomputergraphicsarenowestablished - search areas. Pattern recognition and arti?cial intelligence were the origins of the explorationofthespace ofimages.Simplistic digitaltechniquesusedatthe beg- ning of 60’s for gray image processing operations have been now replaced with a complex mathematical framework that aims to exploit and understand images in two and three dimensions. Advances in computing power continue to make the use and processing of visual information an important part of our lives. The evolution of these techniques was a natural outcome of the need to p- cess an emerging informationspace, the space of natural images. Images in space and time are now a critical part of many human activities. First, pictures and now video streams were used to eternalize small and signi?cant moments of our life. Entertainment including movies, TV-programs and video games are part of our every-day life where capturing, editing, understanding and transmitting images are issues to be dealt with. The medical sector is also a major area for the use of images. The evolution of the acquisition devices led to new ways of capturing information, not visible by the human eye. Medical imaging is probably the most established market for processing visual information[405]. Visualization of c- plex structures and automated processing towards computer aided diagnosis is used more and more by the physicians in the diagnostic process. Safety and se- rity are also important areas where images and video play a signi?cant role [432].

Authors and Affiliations

  • Department of Mathematics, UCLA, Los Angeles, USA

    Stanley Osher

  • Imaging and Visualizing Department, Siemens Corporate Research, Princeton, USA

    Nikos Paragios

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