Stabilizing the iterative solution to ultrasonic ray tomography

Author

Song, Lin-ping ; Zhang, Shu-yl

Author_Institution

Inst. of Acoust., Nanjing Univ., China

Volume

2

fYear

1997

fDate

5-8 Oct 1997

Firstpage

1497

Abstract

A stable iterative reconstruction algorithm is presented for ultrasonic tomography through the uses of weighting matrices, damping factor and the features of conjugate gradient method. The weighting matrices are chosen according to Berryman´s (1989) analysis of nonlinear tomography. An explicit conjugate gradient-type iterative formula is derived for solving weighted least-squares problems. In an iterative process, a damping factor of linear increase rather than a constant is used to filter out the influences of singular values components associated with smaller singular values. The results of simulated data show that the authors´ method can efficiently stabilize the iteration, and provide a robust solution

Keywords

acoustic tomography; image reconstruction; iterative methods; ultrasonic imaging; conjugate gradient-type iterative formula; damping factor; iterative solution stabilization; nonlinear tomography; robust solution; simulated data; singular values; ultrasonic ray tomography; weighted least-squares problem; weighting matrices; Acoustics; Damping; Equations; Gradient methods; Iterative methods; Laboratories; Modems; Ray tracing; Reconstruction algorithms; Tomography;

fLanguage

English

Publisher

ieee

Conference_Titel

Ultrasonics Symposium, 1997. Proceedings., 1997 IEEE

Conference_Location

Toronto, Ont.

ISSN

1051-0117

Print_ISBN

0-7803-4153-8

Type

conf

DOI

10.1109/ULTSYM.1997.661860

Filename

661860