A level-set approach for inverse problems involving obstacles

Fadil Santosa

ESAIM: Control, Optimisation and Calculus of Variations (1996)

  • Volume: 1, page 17-33
  • ISSN: 1292-8119

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Santosa, Fadil. "A level-set approach for inverse problems involving obstacles." ESAIM: Control, Optimisation and Calculus of Variations 1 (1996): 17-33. <http://eudml.org/doc/90494>.

@article{Santosa1996,
author = {Santosa, Fadil},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {inverse problems; level-set method; Hamilton-Jacobi equations; surface evolution; optimization; deconvolution; diffraction},
language = {eng},
pages = {17-33},
publisher = {EDP Sciences},
title = {A level-set approach for inverse problems involving obstacles},
url = {http://eudml.org/doc/90494},
volume = {1},
year = {1996},
}

TY - JOUR
AU - Santosa, Fadil
TI - A level-set approach for inverse problems involving obstacles
JO - ESAIM: Control, Optimisation and Calculus of Variations
PY - 1996
PB - EDP Sciences
VL - 1
SP - 17
EP - 33
LA - eng
KW - inverse problems; level-set method; Hamilton-Jacobi equations; surface evolution; optimization; deconvolution; diffraction
UR - http://eudml.org/doc/90494
ER -

References

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  3. [3] D. Colton and R. Kress: Inverse acoustic and electromagnetic scattering theory, Springer-Verlag, Berlin, 1992. Zbl0760.35053MR1183732
  4. [4] J. Dennis and R. Schnabel: Numerical methods for unconstrained optimization and nonlinear equations, Prentice-Hall, Englewood Cliffs, 1983. Zbl0579.65058MR702023
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  6. [6] S. Kichenassamy, A. Kumar, P. Olver, A. Tannenbaum and A. Yezzi: Gradient flows and geometric active contour models, Proc. ICCV, Cambridge, 1995. 
  7. [7] R. LeVeque and Z. Li: The immersed interface method for elliptic equations with discontinuous coefficients and singular sources, SIAM ,L Num, Analysis, 31, 1994, 1019-1044. Zbl0811.65083MR1286215
  8. [8] R. Magnanini and G. Papi: An inverse problem for the helmholtz equation, Inverse Problems, 1, 1985, 357-370. Zbl0608.35076MR824135
  9. [9] R. Malladi, J. Sethian, and B. Vemuri: Shape modeling with front propagation: a level set approach, IEEE Trans. Pattern Anal. Machine Intell., 17, 1995, 158-175. 
  10. [10] S. Osher and J. Sethian: Fronts propagation with curvature dependent speed: Algorithms based on Hamilton-Jacobi formulations, Journal of Computational Physics, 56, 1988, 12-49. Zbl0659.65132MR965860
  11. [11] M. Sondhi: Reconstruction of objects from their sound-diffraction patterns, J. Acoust. Soc. Am., 46, 1969, 1158-1164. 

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