Computing and Visualization in Science

, Volume 12, Issue 3, pp 125–135 | Cite as

Multichannel image segmentation using adaptive finite elements

Regular article
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Abstract

We present an adaptive finite element algorithm for segmentation with denoising of multichannel images in two dimensions, of which an extension to three dimensional images is straight forward. It is based on a level set formulation of the Mumford–Shah approach proposed by Chan and Vese in (JVCIR 11:130–141,(2000); IEEE Trans Image Proces 10(2):266–277, (2001); Int J Comp Vis 50(3):271–293, (2002)) In case of a minimal partition problem an exact solution is given and convergence of the discrete solution towards this solution is numerically verified.

Keywords

Segmentation Process Piecewise Smooth Function Element Algorithm Adaptive Finite Element IEEE Trans Image 
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 2007

Authors and Affiliations

  1. 1.Angewandte Mathematik IIIUniversität ErlangenErlangenGermany

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