TY - JOUR
T1 - A Survey on Multiple Level Set Methods with Applications for Identifying Piecewise Constant Functions
AU - X.-C. Tai & T. F. Chan
JO - International Journal of Numerical Analysis and Modeling
VL - 1
SP - 25
EP - 48
PY - 2004
DA - 2004/01
SN - 1
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/964.html
KW - survey, level set methods, image segmentation, inverse problems, optimal shape design, electrical impedance tomography, positron emission tomography.
AB - <p style="text-align: justify;">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.</p>