A generalised diffraction tomography technique based on non-linear optimization and Gaussian basis expansion of the scatterer

Author

Maniatis, T.A. ; Nikita, K.S. ; Ladas, K.T. ; Uzunoglu, N.K.

Author_Institution

Dept. of Electr. & Comput. Eng., Nat. Tech. Univ. of Athens, Greece

Volume

2

fYear

1996

fDate

31 Oct-3 Nov 1996

Firstpage

724

Abstract

A novel method for the nonperturbative solution of the inverse scattering problem is presented. The method is based on the description of the unknown scatterer in terms of Gaussian basis functions and the discretization of the scattering integral equation (SIE) by applying a Gauss quadrature integration procedure. The inverse scattering problem is solved by minimizing the squared error between measured and predicted values for the scattering amplitude, subject to non-linear equality constraints imposed by the SIE for the field in the interior of the scattering object

Keywords

computerised tomography; diffraction; integral equations; inverse problems; optimisation; scattering; Gauss quadrature integration procedure; Gaussian basis expansion; generalised diffraction tomography technique; inverse scattering problem; medical diagnostic imaging; nonlinear equality constraints; nonlinear optimization; nonperturbative solution; scattering amplitude; scattering integral equation discretization; scattering object interior; squared error minimization; unknown scatterer; Acoustic scattering; Diffraction; Electromagnetic scattering; Fourier transforms; Gaussian processes; Integral equations; Inverse problems; Optimization methods; Partial differential equations; Tomography;

fLanguage

English

Publisher

ieee

Conference_Titel

Engineering in Medicine and Biology Society, 1996. Bridging Disciplines for Biomedicine. Proceedings of the 18th Annual International Conference of the IEEE

Conference_Location

Amsterdam

Print_ISBN

0-7803-3811-1

Type

conf

DOI

10.1109/IEMBS.1996.651946

Filename

651946