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Read Full Article (file size: 256993 bytes) Cited by
RADIO SCIENCE,
VOL. 38, NO. 2,
8010,
doi:10.1029/2001RS002567,
2002
On novel developments of controlled evolution of level sets in the field of inverse shape problems
C. Ramananjaona
Laboratoire des Signaux et Systèmes, Département de Recherche en Électromagnétisme,
CNRS-SUPÉLEC-UPS,
Gif-sur-Yvette,
France
M. Lambert
Laboratoire des Signaux et Systèmes, Département de Recherche en Électromagnétisme,
CNRS-SUPÉLEC-UPS,
Gif-sur-Yvette,
France
D. Lesselier
Laboratoire des Signaux et Systèmes, Département de Recherche en Électromagnétisme,
CNRS-SUPÉLEC-UPS,
Gif-sur-Yvette,
France
J.-P. Zolésio
INRIA,
Sophia Antipolis,
France
Abstract
Novel developments of the so-called controlled evolution of level sets [
Ramananjaona et al., 2001b
], which is devoted to shape identification of homogeneous scattering obstacles buried in a known space from time-harmonic
wave field data, are considered herein. The emphasis is twofold: regularization of the geometry of the sought shape—enforced
via a speed of motion of the level set in (pseudo)time and space resulting from the minimization of a properly penalized objective
functional; and improvement of the convergence of the scheme itself by a choice of a time step adapted to the evolution of
the level set and to the sought decrease of the objective functional. Key elements of the theoretical analysis are given,
and several numerical examples illustrate pros and cons.
Published 13
December
2002.
Index Terms: 0629 Electromagnetics: Inverse scattering; 0644 Electromagnetics: Numerical methods; 0669 Electromagnetics: Scattering and diffraction.
Read Full Article (file size: 256993 bytes) Cited by
Citation: Ramananjaona, C., M. Lambert, D. Lesselier, and J.-P. Zolésio
(2002),
On novel developments of controlled evolution of level sets in the field of inverse shape problems,
Radio Sci.,
37,
8010,
doi:10.1029/2001RS002567, [printed 38(2), 2003].
Copyright 2003 by the American Geophysical Union.
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