A Survey on Multiple Level Set Methods with Applications for Identifying Piecewise Constant Functions
Year: 2004
International Journal of Numerical Analysis and Modeling, Vol. 1 (2004), Iss. 1 : pp. 25–48
Abstract
We try to give a brief survey about using multiple level set methods for identifying piecewise constant or piecewise smooth functions. A general framework is presented. Application using this general framework for different practical problems are shown. We try to show some details in applying the general approach for applications to: image segmentation, optimal shape design, elliptic inverse coefficient identification, electrical impedance tomography and positron emission tomography. Numerical experiments are also presented for some of the problems.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2004-IJNAM-964
International Journal of Numerical Analysis and Modeling, Vol. 1 (2004), Iss. 1 : pp. 25–48
Published online: 2004-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 24
Keywords: survey level set methods image segmentation inverse problems optimal shape design electrical impedance tomography positron emission tomography.