full
search.png

Search

close.png

Cancel

arrow
Volume 1, Issue 1
A Survey on Multiple Level Set Methods with Applications for Identifying Piecewise Constant Functions

X.-C. Tai & T. F. Chan

Int. J. Numer. Anal. Mod., 1 (2004), pp. 25-48.

Published online: 2004-01

Preview Full PDF 3047 22510

Cited by

google scholar semantic scholar
Export citation
  • 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.

  • Keywords

survey, level set methods, image segmentation, inverse problems, optimal shape design, electrical impedance tomography, positron emission tomography.

  • AMS Subject Headings

49Q10, 49L99, 35C44, 35R30, 65J20

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{IJNAM-1-25, author = {X.-C. Tai and T. F. Chan}, title = {A Survey on Multiple Level Set Methods with Applications for Identifying Piecewise Constant Functions}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2004}, volume = {1}, number = {1}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/964.html} }
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 -

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.

X.-C. Tai and T. F. Chan. (2004). A Survey on Multiple Level Set Methods with Applications for Identifying Piecewise Constant Functions. International Journal of Numerical Analysis and Modeling. 1 (1). 25-48. doi:
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard