1 July 1992 Quadratic filters invariant to linear transformation groups
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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.
© (1992) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
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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