Geometric Level Set Methods in Imaging, Vision, and Graphics

  • Stanley Osher
  • Nikos Paragios

Table of contents

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

    1. Front Matter
      Pages 1-1
    2. Stanley Osher
      Pages 3-20
  3. Edge Detection & Boundary Extraction

    1. Front Matter
      Pages 41-41
    2. Joachim Weickert, Gerald Kühne
      Pages 43-57
    3. Ron Kimmel
      Pages 59-77
    4. Agnès Desolneux, Lionel Moisan, Jean-Michel Morel
      Pages 79-99
  4. Scalar & Vector Image Reconstruction, Restoration

    1. Front Matter
      Pages 101-101
    2. Leonid Rudin, Pierre-Luis Lions, Stanley Osher
      Pages 103-119
    3. Francoise Dibos, Georges Koepfler, Pascal Monasse
      Pages 121-140
  5. Grouping

    1. Front Matter
      Pages 157-157
    2. Eftychis Sifakis, George Tziritas
      Pages 159-174
    3. Mikaël Rousson, Rachid Deriche
      Pages 195-205
    4. Anthony Yezzi, Stefano Soatto, Hailin Jin, Andy Tsai, Alan Willsky
      Pages 207-227
  6. Knowledge-based Segmentation & Registration

    1. Front Matter
      Pages 229-229
    2. Nikos Paragios, Mikael Rousson
      Pages 231-250
    3. Baba Vemuri, Yunmei Chen
      Pages 251-269
    4. Francoise Dibos, Georges Koepfler, Pascal Monasse
      Pages 271-295
  7. Motion Analysis

    1. Front Matter
      Pages 297-297
    2. Nikos Paragios, Rachid Deriche
      Pages 299-318
    3. Stefano Soatto, Anthony Yezzi, Alessandro Duci
      Pages 319-340
  8. Computational Stereo & Implicit Surfaces

    1. Front Matter
      Pages 341-341
    2. Olivier Faugeras, Jose Gomes, Renaud Keriven
      Pages 343-360
    3. Hongkai Zhao, Stanley Osher
      Pages 361-380
    4. Marcelo Bertalmío, Facundo Mémoli, Li-Tien Cheng, Guillermo Sapiro, Stanley Osher
      Pages 381-397
  9. Medical Image Analysis

    1. Front Matter
      Pages 399-399
    2. Michael Leventon, Eric Grimson, Olivier Faugeras, Ron Kikinis, William Wells III
      Pages 401-420
    3. Xiao Han, Chenyang Xu, Jerry Prince
      Pages 421-438
  10. Simulations & Graphics

    1. Front Matter
      Pages 439-439
    2. Ken Museth, Ross Whitaker, David Breen
      Pages 441-460
    3. Ronald Fedkiw
      Pages 461-479
  11. Back Matter
    Pages 481-513

About this book



Level set methods are emerging techniques for representing, deforming, and recovering structures in an arbitrary dimension across different fields (mathematics, fluid dynamics, graphics, imaging, vision, etc.). Advances in numerical analysis have led to computationally efficient tools for computing and analyzing interface motion within level set frameworks in a host of application settings.

This authoritative edited survey provides readers with the state-of-the-art in applying level set techniques in the imaging, vision, and graphics domains, presenting thematically grouped chapters contributed by leading experts from both industry and academia. The work bridges the theoretical foundations of level set methods with the latest significant applications. It will assist readers with both the technical aspects of the field as well as its practical ramifications for areas like medical imaging, computer animation, film restoration, video surveillance, visual inspection, and a range of scientific and engineering disciplines.

Topics and features:

* Covers comprehensively the applications of imaging, vision, & graphics

* Includes a helpful introductory survey chapter on level set methods

* Provides a complete overview of concepts and advanced technologies in the field

* Describes leading-edge research, providing insight into a variety of

potential avenues for problem solving

* Supplies numerous implementations, examples, and relevant and useful experimental results

This essential resource carefully integrates the theoretical foundations of level set methods with their actual performance capabilities. Its clarity of organization and approach makes the book accessible for researchers and professionals working in the areas of vision, graphics, image processing, robotics, mathematics, and computational geometry.>


Active contour Image segmentation Interpolation Optical flow animation computer graphics computer vision image analysis image processing image registration image restoration information simulation topology visualization

Authors and affiliations

  • Stanley Osher
    • 1
  • Nikos Paragios
    • 2
  1. 1.Department of MathematicsUCLALos AngelesUSA
  2. 2.Imaging and Visualizing DepartmentSiemens Corporate ResearchPrincetonUSA

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