
Accession Number : ADA182146
Title : An Application of the Finite Element Method to Maximum Entropy Tomography Image Reconstruction.
Descriptive Note : Technical rept. 19841986,
Corporate Author : ARMY BALLISTIC RESEARCH LAB ABERDEEN PROVING GROUND MD
Personal Author(s) : Smith,Robert T ; Zoltani,Csaba K
PDF Url : ADA182146
Report Date : 07 Apr 1987
Pagination or Media Count : 28
Abstract : A new approach to maximum entropy tomographic image reconstruction is condsidered here. It is shown that by using a finite dimensional subspace of L sub 2 (D), one can obtain an approximation to the solution of a maximum entropy optimization problem, set in L sub 2 (D). Several examples of appropriate finite element subspaces for a 2dimensional parallel beam projection geometry are examined. Particular attention is paid to the case where the xray projection data is sparse. In the current work, this means that the number of projections or views is small (in practice, perhaps only 15 to 20, as compared with the 180 views used in modern medical CAT scanners). A priori information in the form of known maximum and minimum densities of the materials being scanned is built into the model. A penalty function, added to the entropy term, is used to control the residual error in meeting the projection measurements. Keywords: Optimization; X ray attenation; Approximation(Mathematics).
Descriptors : *X RAY DIAGNOSTICS, *COMPUTERIZED TOMOGRAPHY, *X RAY ABSORPTION ANALYSIS, *COMPUTER APPLICATIONS, SOLUTIONS(GENERAL), ENTROPY, OPTIMIZATION, ERRORS, RESIDUALS, X RAYS, DENSITY, MATERIALS, FINITE ELEMENT ANALYSIS, MEASUREMENT
Subject Categories : Medicine and Medical Research
Numerical Mathematics
Medical Facilities, Equipment and Supplies
Computer Programming and Software
Distribution Statement : APPROVED FOR PUBLIC RELEASE