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Solution of convergence problem in ultrasound inverse scattering tomography
Author(s) -
Kwon Sung J.,
Park Song B.,
Kim Whan W.
Publication year - 1990
Publication title -
international journal of imaging systems and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.359
H-Index - 47
eISSN - 1098-1098
pISSN - 0899-9457
DOI - 10.1002/ima.1850020104
Subject(s) - inverse scattering problem , scattering , convergence (economics) , inverse problem , born approximation , inverse , plane wave , tomography , contrast (vision) , algorithm , mathematical analysis , optics , mathematics , computer science , mathematical optimization , physics , geometry , economics , economic growth
When the product of contrast and size of an object, which is to be reconstructed by using the ultrasound inverse scattering tomography algorithm, is large, it is well known that those algorithms fail to converge to a unique global minimum. In order to solve this well known and difficult convergence problem, in this paper we present a new method, which converges to the true solution, for obtaining the scattering potential without using the Born or Rytov approximation. This method converts the nonlinear nature of the problem into a linear one. Through computer simulations we will show the validity of the new approach for high contrast two‐dimensional scattering objects which are insonified by an incident ultrasound plane wave. Numerical results show that the reconstruction error is very small for circularly symmetric two‐dimensional cylindrical objects whose refractive indices range from small to even sufficiently large values for which the previous inverse scattering algorithms fail to converge.