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Exploring Non-linear Difusion: The Difusion Echo

Erik DamContact Information and Mads NielsenContact Information

(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.

Contact Information Erik Dam
Email: erikdam@it-c.dk
URL: http://www.it-c.dk

Contact Information Mads Nielsen
Email: malte@it-c.dk
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