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Anisotropic Diffusion in Image Processing
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Anisotropic Diffusion in Image Processing
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Anisotropic Diffusion
in Image Processing
Joachim Weickert
B.G. Teubner Stuttgart
Anisotropic Diffusion
in Image Processing
Joachim Weickert
Department of Computer Science
University of Copenhagen
Copenhagen, Denmark
B.G. Teubner Stuttgart 1998
Dr. rer. nat. Joachim Weickert
Born in 1965 in Ludwigshafen/Germany. Studies in mathematics, physics and com-
puter science at the University o f Kaiserslautern. 1987 B.Sc. in physics and indus-
trial mathematics. 1991 M.Sc. in industrial mathematics. 1996 Ph.D. in mathe-
matics. Postdoctoral researcher at the Image Sciences Institute at Utrecht Uni-
versity from 2/96 to 3/97. Since then visiting assistant research professor at the
Department of Computer Science, Copenhagen University.
The cover image shows a thresholded nonwoven fabric image which was processed
by applying a coherence-enhancing anisotropic diffusion filter (see Section 5.2 for
more details). The goal was to visualize the quality relevant adjacent fibre struc-
tures, so-called stripes. The displayed equations describ e the basic structure of
nonlinear diffusion filtering in the continuous, semidiscrete, and fully discrete set-
ting. Their theoretical foundations are treated in Chapters 2–4.
c
Copyright 2008 by Joachim Weickert.
All rights reserved. No part of this b ook may be reproduced by any means, or
transmitted, or translated into a machine language without the written permission
of the author.
This book had been published by B. G. Teubner (Stuttgart) in 1998 and went out
of print in 2001. The copyright has been returned to the author in 20 08. In the
current version a few typ os and other errors have b een corrected.
To my parents Gerda and Norbert
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