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Exploring Non-linear Difusion: The Difusion Echo

  • Erik Dam
  • Mads Nielsen
Conference paper
Part of the Lecture Notes in Computer Science 2106 book series (LNCS, volume 2106)

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.

Keywords

Intuitive Understanding Segmentation Task Watershed Segmentation Soft Threshold Intuitive Description 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Erik Dam
    • 1
  • Mads Nielsen
    • 1
  1. 1.The IT UniversityCopenhagenDenmark

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