PMID- 2660390 OWN - NLM STAT- MEDLINE DCOM- 19890721 LR - 20170214 IS - 0161-7346 (Print) IS - 0161-7346 (Linking) VI - 11 IP - 1 DP - 1989 Jan TI - Numerical study of higher-order diffraction tomography via the sinc basis moment method. PG - 42-74 AB - 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. FAU - Cavicchi, T J AU - Cavicchi TJ AD - Department of Electrical and Computer Engineering University of Illinois, Urbana 61801. FAU - O'Brien, W D Jr AU - O'Brien WD Jr LA - eng GR - CA 09067/CA/NCI NIH HHS/United States GR - CA36029/CA/NCI NIH HHS/United States PT - Journal Article PT - Research Support, U.S. Gov't, P.H.S. PL - England TA - Ultrason Imaging JT - Ultrasonic imaging JID - 7909167 SB - IM MH - Humans MH - Mathematics MH - Tomography/*methods MH - Ultrasonography/*methods EDAT- 1989/01/01 00:00 MHDA- 2001/03/28 10:01 CRDT- 1989/01/01 00:00 PHST- 1989/01/01 00:00 [pubmed] PHST- 2001/03/28 10:01 [medline] PHST- 1989/01/01 00:00 [entrez] AID - 10.1177/016173468901100103 [doi] PST - ppublish SO - Ultrason Imaging. 1989 Jan;11(1):42-74. doi: 10.1177/016173468901100103.