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

Xue Cheng Tai; Tony F. Chan

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

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	25-47
Number of pages	23
Journal	International Journal of Numerical Analysis and Modeling
Volume	1
Issue number	1
State	Published - 2004
Externally published	Yes

Keywords

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

ASJC Scopus subject areas

Numerical Analysis

Cite this

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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.",

keywords = "Electrical impedance tomography, Image segmentation, Inverse problems, Level set methods, Optimal shape design, Positron emission tomography, Survey",

author = "Tai, {Xue Cheng} and Chan, {Tony F.}",

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KW - Inverse problems

KW - Level set methods

KW - Optimal shape design

KW - Positron emission tomography

KW - Survey

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

Abstract

Keywords

ASJC Scopus subject areas

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