Year: 2005
International Journal of Numerical Analysis and Modeling, Vol. 2 (2005), Iss. 4 : pp. 422–438
Abstract
In this work we discuss variants of a PDE based level set method. Traditionally interfaces are represented by the zero level set of continuous level set functions. We instead use piecewise constant level set functions, and let interfaces be represented by discontinuities. Some of the properties of the standard level set function are preserved in the proposed method. Using the methods for interface problems, we need to minimize a smooth convex functional under a constraint. The level set functions are discontinuous at convergence, but the minimization functional is smooth and locally convex. We show numerical results using the methods for segmentation of digital images.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2005-IJNAM-939
International Journal of Numerical Analysis and Modeling, Vol. 2 (2005), Iss. 4 : pp. 422–438
Published online: 2005-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: image segmentation image processing PDE variational level set piecewise constant level set.