A preprocessor for geotomographic imaging of irregular geometric scans

An algorithm that acts as a preprocessor to the straight ray algebraic reconstruction technique (ART) algorithm, for the purpose of dealing with nonrectangular scanning geometries, is described. The mathematics of ART in its elementary form is reviewed, showing how the discretization of the rectangu...

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Bibliographic Details
Published in:IEEE transactions on industry applications 1992-09, Vol.28 (5), p.1148-1153
Main Authors: Middleton, N.T., Harman, M.T.
Format: Article
Language:English
Subjects:
02 PETROLEUM
020200 - Petroleum- Reserves, Geology, & Exploration
07 ISOTOPES AND RADIATION SOURCES
070204 - Radiation Sources- Industrial Uses, Radiometric
540250 - Environment, Terrestrial- Site Resource & Use Studies- (1990-)
990200 - Mathematics & Computers
ALGORITHMS
DATA PROCESSING
DIAGNOSTIC TECHNIQUES
ENVIRONMENTAL SCIENCES
Fourier transforms
GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
Geologic measurements
GEOLOGY
Geometry
Graphics
IMAGE PROCESSING
Image reconstruction
INDUSTRIAL RADIOGRAPHY
LAND USE
MATHEMATICAL LOGIC
Mining industry
Optical imaging
PROCESSING
RESERVOIR ROCK
RESOURCE DEVELOPMENT
SITE SURVEYS
TOMOGRAPHY
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Summary:An algorithm that acts as a preprocessor to the straight ray algebraic reconstruction technique (ART) algorithm, for the purpose of dealing with nonrectangular scanning geometries, is described. The mathematics of ART in its elementary form is reviewed, showing how the discretization of the rectangular scanning space defines quantities in the projection matrix of the algorithm. A triangular discretization approach for the scanning space that allows nonrectangular or twisted plane geometries to be addressed is proposed, and the effect of this approach on the projection matrix is discussed. An algorithm for determining the projection matrix under these discretization conditions is described, followed by some commentary on its computer implementation. The performance of this preprocessor algorithm, working with standard ART, in reconstructing various synthetic images is demonstrated.< >
ISSN:0093-9994
1939-9367
DOI:10.1109/28.158841