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Book Chapter
Exploring Non-linear Difusion: The Difusion Echo
Book Series
Lecture Notes in Computer Science
Publisher
Springer Berlin / Heidelberg
ISSN
0302-9743 (Print) 1611-3349 (Online)
Volume
Volume 2106/2001
Book
Scale-Space and Morphology in Computer Vision
DOI
10.1007/3-540-47778-0
Copyright
2001
ISBN
978-3-540-42317-1
DOI
10.1007/3-540-47778-0_23
Pages
264-272
Subject Collection
Computer Science
SpringerLink Date
Monday, January 01, 2001
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Exploring Non-linear Difusion: The Difusion Echo
Erik Dam
5
and Mads Nielsen
5
(5)
The IT University, Glentevej 67, DK- 2400 Copenhagen, NV, Denmark
Abstract
The Gaussian serves as Green’s function for the linear diffusion equation and as a source for intuitive understanding of the linear difusion process. In general, non-linear difusion equations have no known closed formsolu tions and thereby no equally simple description. This article introduces a simple, intuitive description of these processes in terms of the Difusion Echo. The
Difusion Echo
offers intuitive visualisations for non-linear difusion processes.
In addition, the Difusion Echo has potential for o?ering simple formulations for grouping problems. Furthermore, the Difusion Echo can be considered a deep structure summary and thereby offers an alternative to multi-scale linking and ?ooding techniques.
Erik
Dam
Email:
erikdam@it-c.dk
URL:
http://www.it-c.dk
Mads
Nielsen
Email:
malte@it-c.dk
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