A survey on multiple level set methods with applications for identifying piecewise constant functions

Xue Cheng Tai, Tony Chan

Research output: Contribution to journalArticlepeer-review

107 Scopus citations

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, electricall impedance tomography and positron emission tomography. Numerical experiments are also presented for some of the problems.

Original languageEnglish (US)
Pages (from-to)25-47
Number of pages23
JournalInternational Journal of Numerical Analysis and Modeling
Volume1
Issue number1
StatePublished - Jan 1 2004

Keywords

  • Electrical impedance tomography
  • Image segmentation
  • Inverse problems
  • Level set methods
  • Optimal shape design
  • Positron emission tomography
  • Survey

ASJC Scopus subject areas

  • Numerical Analysis

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