# A level-set approach for inverse problems involving obstacles Fadil SANTOSA

ESAIM: Control, Optimisation and Calculus of Variations (2010)

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

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topSantosa, Fadil. "A level-set approach for inverse problems involving obstacles Fadil SANTOSA." ESAIM: Control, Optimisation and Calculus of Variations 1 (2010): 17-33. <http://eudml.org/doc/116561>.

@article{Santosa2010,

abstract = {
An approach for solving inverse problems involving obstacles is proposed.
The approach uses a level-set method which has been shown to be effective
in treating problems of moving boundaries, particularly those that involve
topological changes in the geometry.
We develop two computational methods based on this idea.
One method results in a nonlinear time-dependant partial differential
equation for the level-set function whose evolution minimizes the
residual in the data fit. The second method is an optimization that
generates a sequence of level-set functions that reduces the residual.
The methods are illustrated in two applications : a deconvolution problem
and a diffraction screen reconstruction problem.
},

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.; inverse problems; level-set method; Hamilton-Jacobi equations; surface evolution; optimization; deconvolution; diffraction},

language = {eng},

month = {3},

pages = {17-33},

publisher = {EDP Sciences},

title = {A level-set approach for inverse problems involving obstacles Fadil SANTOSA},

url = {http://eudml.org/doc/116561},

volume = {1},

year = {2010},

}

TY - JOUR

AU - Santosa, Fadil

TI - A level-set approach for inverse problems involving obstacles Fadil SANTOSA

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/3//

PB - EDP Sciences

VL - 1

SP - 17

EP - 33

AB -
An approach for solving inverse problems involving obstacles is proposed.
The approach uses a level-set method which has been shown to be effective
in treating problems of moving boundaries, particularly those that involve
topological changes in the geometry.
We develop two computational methods based on this idea.
One method results in a nonlinear time-dependant partial differential
equation for the level-set function whose evolution minimizes the
residual in the data fit. The second method is an optimization that
generates a sequence of level-set functions that reduces the residual.
The methods are illustrated in two applications : a deconvolution problem
and a diffraction screen reconstruction problem.

LA - eng

KW - Inverse problems / level-set method / Hamilton-Jacobi
equations / surface evolution / optimization / deconvolution / diffraction.; inverse problems; level-set method; Hamilton-Jacobi equations; surface evolution; optimization; deconvolution; diffraction

UR - http://eudml.org/doc/116561

ER -

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