A Theoretical Study of Model Approximation Errors in Diffraction Tomography

Mehrdad Soumekh; Mostafa Kaveh

doi:10.1109/T-UFFC.1986.26791

A Theoretical Study of Model Approximation Errors in Diffraction Tomography

Mehrdad Soumekh, Mostafa Kaveh

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

A study of the relative merits of the Born and Rytov approximations in acoustic tomography is presented. The error in the reconstructed images of the two methods are related to the level of the disturbance introduced by the test object in the homogeneous medium that surrounds it. This provides a theoretical tool to analyze the severity of degradation and interpret the errors that appear in the reconstructed images of simulated cylindrical test objects. The study is indicative of the superiority of the Rytov method to the Born method in solving the inverse problem of the inhomogeneous Helmholtz equation based on measurements of the forward-scattering waves.

Original language	English (US)
Pages (from-to)	10-20
Number of pages	11
Journal	IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
Volume	33
Issue number	1
DOIs	https://doi.org/10.1109/T-UFFC.1986.26791
State	Published - Jan 1986

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AB - A study of the relative merits of the Born and Rytov approximations in acoustic tomography is presented. The error in the reconstructed images of the two methods are related to the level of the disturbance introduced by the test object in the homogeneous medium that surrounds it. This provides a theoretical tool to analyze the severity of degradation and interpret the errors that appear in the reconstructed images of simulated cylindrical test objects. The study is indicative of the superiority of the Rytov method to the Born method in solving the inverse problem of the inhomogeneous Helmholtz equation based on measurements of the forward-scattering waves.

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A Theoretical Study of Model Approximation Errors in Diffraction Tomography

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