Quadratic filters invariant to linear transformation groups

Gregory O. Gheen

doi:10.1117/12.138329

1 July 1992 Quadratic filters invariant to linear transformation groups

Gregory O. Gheen

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Proceedings Volume 1701, Optical Pattern Recognition III; (1992) https://doi.org/10.1117/12.138329
Event: Aerospace Sensing, 1992, Orlando, FL, United States

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.

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Gregory O. Gheen "Quadratic filters invariant to linear transformation groups", Proc. SPIE 1701, Optical Pattern Recognition III, (1 July 1992); doi: 10.1117/12.138329; https://doi.org/10.1117/12.138329

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