Chao Liu et al 2003 Phys. Med. Biol. 48 2437 doi:10.1088/0031-9155/48/15/313
Chao Liu1, Yuanmei Wang1 and Pheng Ann Heng2
Show affiliationsFor good image quality using ultrasound inverse scattering, one alternately solves the well-posed forward scattering equation for an estimated total field and the ill-posed inverse scattering equation for the desired object property function. In estimating the total field, error or noise contaminates the coefficients of both matrix and data of the inverse scattering equation. Previous work on ill-posed inverse ultrasonic scattering commonly used Tikhonov regularization, which considers error only in the data. The solution so obtained is not precise enough to reconstruct the quantitative internal structure of a large or high-contrast object. This paper adopts the truncated total least squares method, simultaneously considering error and noise on both sides of the inverse scattering equation, and compares it with the classical Tikhonov regularization. We show that it can substantially improve reconstruction fit and image quality when the inverse scattering equation system is strongly ill-posed.
02.70.Rr General statistical methods
65F10 Iterative methods for linear systems (See also 65N22)
93E24 Least squares and related methods
92C55 Biomedical imaging and signal processing (See also 44A12, 65R10)
Issue 15 (7 August 2003)
Received 24 April 2003
Published 22 July 2003
Chao Liu et al 2003 Phys. Med. Biol. 48 2437
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