Numerical study of higher-order diffraction tomography via the sinc basis moment method.

Abstract:

:Behavior and limitations of the sinc basis method have been discovered during simulation studies. An iterative row-action method (ART) is compared with a full-matrix, least-squares solution (QR decomposition) and the problem of multiple solutions is discussed. Knowledge of the spatial distribution of scattered field energy can be used to speed up convergence. The first iteration is shown to be equivalent to the first Born solution. A fundamental limitation of present diffraction tomography algorithms, concerning phase shift through the scatterer, is found and related to clinical values. Effects of improvements on the initial guesses for the object function and internal field are studied. Lossy cylinder and contrived multicomponent reconstructions yield additional understanding of the phase shift problem. A sequence of simulations investigates estimated solution movement in hyperspace.

journal_name

Ultrason Imaging

journal_title

Ultrasonic imaging

authors

Cavicchi TJ,O'Brien WD Jr

doi

10.1177/016173468901100103

subject

Has Abstract

pub_date

1989-01-01 00:00:00

pages

42-74

issue

1

eissn

0161-7346

issn

1096-0910

journal_volume

11

pub_type

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