DocumentCode
1134537
Title
Pattern Matching Under Affine Transformations
Author
Dirilten, Hudai ; Newman, Thomas G.
Author_Institution
Department of Electrical Engineering, University of British Columbia
Issue
3
fYear
1977
fDate
3/1/1977 12:00:00 AM
Firstpage
314
Lastpage
317
Abstract
In the following we consider the action of the group of affine transformations on a class of patterns representable by continuous functions with compact support. It is first shown how to accomplish a reduction of the action of the affine group to that of the orthogonal group. In the two-dimensional case, it is shown how to find the particular orthogonal transformation necessary to complete a pattern match. Finally invariants under the orthogonal group are presented. Examples are given which present typical results obtained by implementing the techniques via a digital-optical scanner and minicomputer software.
Keywords
Affine group, compact support, density, invariant, moment tensor, orthogonal transformation, pattern recognition, relative invariant.; Covariance matrix; Equations; Mathematics; Microcomputers; Packaging; Pattern matching; Pattern recognition; Probability density function; Tensile stress; Affine group, compact support, density, invariant, moment tensor, orthogonal transformation, pattern recognition, relative invariant.;
fLanguage
English
Journal_Title
Computers, IEEE Transactions on
Publisher
ieee
ISSN
0018-9340
Type
jour
DOI
10.1109/TC.1977.1674832
Filename
1674832
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