Pattern Matching Under Affine Transformations

Authors:
H. Dirilten;T. G. Newman
Affiliations:
Department of Electrical Engineering, University of British Columbia;-
Venue:
IEEE Transactions on Computers
Year:
1977

Citing 2
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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.