Title :
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
fDate :
31 Oct-3 Nov 1996
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;
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
DOI :
10.1109/IEMBS.1996.651946
