Adaptive B-spline approach for inverse scattering problems

Author

Baussard, A. ; Miller, E.L. ; Li, X. ; Premel, D.

Author_Institution

CNRS UMR8029, SATIE, Cachan, France

Volume

4

fYear

2003

fDate

22-27 June 2003

Firstpage

772

Abstract

In this contribution, to solve a two-dimensional inverse scattering problem, an adaptive B-spline approach was proposed in order to reduce the problem complexity. This algorithm permits to simultaneously determine a knot distribution, using a specific knot insertion-deletion process, and to solve the inverse problem. The results, obtained using simulated and real data, show the potential and the interest of the proposed approach.

Keywords

computational geometry; inverse problems; matrix inversion; permittivity; physics computing; splines (mathematics); tomography; adaptive B-spline approach; coarse representation scale; complex contrast function; computer aided geometric design; coupled integral equations; coupled matrix equations; forward problem; inhomogeneous obstacle; knot distribution; knot insertion-deletion process; permittivity contrast; reduced complexity; search domain; two-dimensional inverse scattering; Acoustic measurements; Biomedical imaging; Electromagnetic measurements; Electromagnetic scattering; Geophysical measurements; Integral equations; Inverse problems; Permittivity measurement; Spline; Tensile stress;

fLanguage

English

Publisher

ieee

Conference_Titel

Antennas and Propagation Society International Symposium, 2003. IEEE

Conference_Location

Columbus, OH, USA

Print_ISBN

0-7803-7846-6

Type

conf

DOI

10.1109/APS.2003.1220387

Filename

1220387