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Proceedings Paper

Quadratic filters invariant to linear transformation groups
Author(s): Gregory O. Gheen
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Paper Abstract

An optimal quadratic filter is developed to detect a target signature distorted by a linear transformation group (e.g. translations, scaling, etc.). The filter is constructed from the invariant subspaces of the transformation group. This guarantees an equal response to all target images. A maximum signal-to-clutter ratio is achieved with a weighted combination of invariant subspaces. Examples are discussed for some one-parameter subgroups of the projective transformation.

Paper Details

Date Published: 1 July 1992
PDF: 12 pages
Proc. SPIE 1701, Optical Pattern Recognition III, (1 July 1992); doi: 10.1117/12.138329
Show Author Affiliations
Gregory O. Gheen, Lockheed Missiles & Space Co., Inc. (United States)


Published in SPIE Proceedings Vol. 1701:
Optical Pattern Recognition III
David P. Casasent; Tien-Hsin Chao, Editor(s)

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