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Ebook home > science > mathematics >

Anisotropic Diffusion in Image Processing

Anisotropic Diffusion in Image Processing

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Anisotropic Diffusion in Image Processing

Anisotropic Diffusion in Image Processing Summary:

 
By Joachim Weickert
  • Publisher:   Teubner
  • Number Of Pages:   170
  • Publication Date:   1998
  • ISBN-10 / ASIN:   3519026066
  • ISBN-13 / EAN:   9783519026068
Many recent techniques for digital image enhancement and multiscale image
representations are based on nonlinear partial differential equations (PDE).
This book gives an introduction to the main ideas behind these methods, and
it describes in a systematic way their theoretical foundations, numerical aspects,
and applications. A large number of references enables the reader to acquire an
up-to-date overview of the original literature.
The central emphasis is on anisotropic nonlinear diffusion filters. Their flexibility
allows to combine smoothing properties with image enhancement qualities. A
general framework is explored covering well-posedness and scale-space results not
only for the continuous, but also for the algorithmically important semidiscrete and
fully discrete settings. The presented examples range from applications in medical
image analysis to problems in computer aided quality control.Contents:
  • Image Smoothing and Restoration by PDEs
    • Physical Background of Diffusion Processes
    • Linear Diffusion Filtering
    • Nonlinear Diffusion Filtering
    • Methods of Diffusion-Reaction Type
    • Classic Morphological Processes
    • Curvature-Based Morphological Processes
    • Total Variation Methods
    • Conclusions and Further Scope of the Book
  • Continuous Diffusion Filtering
    • General Model
    • The Structure Tensor
    • Theoretical Results
    • Scale-Space Properties
  • Semidiscrete Diffusion Filtering
    • General Model
    • Theoretical Results
    • Scale-Space Properties
    • Relation to Semidiscrete Models
  • Discrete Diffusion Filtering
    • General Model
    • Theoretical Results
    • Scale-Space Properties
    • Relation to Semidiscrete Models
  • Examples and Applications
    • Edge-Enhancing Diffusion
    • Coherence-Enhancing Diffusion
  • Conclusions and Perspectives
  • Bibliography (453 references)
  • Index (about 500 entries)
    •  

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    Anisotropic Diffusion in Image Processing Keywords

      image   filtering   theoretical   properties   results   semidiscrete   scale space   methods   applications   processes   nonlinear   model   relation   enhancement   continuous   morphological   references   discrete   examples   smoothing   image enhancement   scale space results   algorithmically important   important semidiscrete   covering well posedness   fully discrete   enhancement qualities   explored covering   smoothing properties   presented examples

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