Paper
28 March 1995 Distortion-invariant optical pattern recognition without correlation
Michael E. Lhamon, Laurence G. Hassebrook, Raymond C. Daley
Author Affiliations +
Abstract
Most distortion-invariant optical pattern recognition techniques rely on correlation which inherently achieves translation-invariance. We introduce a new formulation for image recognition where only 'vector inner product' (assuming 2D images are lexicographically converted to vectors) operations are used to achieve distortion-invariant pattern recognition. Our formulation expands the linear phase coefficient composite filter family, developed by Hassebrook et.al., into a set of translation- and distortion-invariant vector inner product operators. The set of vector inner products are optimal in numerical efficiency because they represent a Karhunen Loeve expansion. Translation- invariance is achieved by embedding 2D translation into the training set as two additional distortion parameters. The magnitude of the vector inner product results in a response insensitive to translation and distortion, where as the phase response varies, but is discarded. For large images containing many objects this method can be applied by tiling the vector inner product operators to the test image size. Examples of our approaches, distortion-invariant detection/discrimination capabilities, numerical efficiency, and tradeoffs between conventional correlation are presented.
© (1995) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Michael E. Lhamon, Laurence G. Hassebrook, and Raymond C. Daley "Distortion-invariant optical pattern recognition without correlation", Proc. SPIE 2490, Optical Pattern Recognition VI, (28 March 1995); https://doi.org/10.1117/12.205785
Lens.org Logo
CITATIONS
Cited by 1 scholarly publication.
Advertisement
Advertisement
RIGHTS & PERMISSIONS
Get copyright permission  Get copyright permission on Copyright Marketplace
KEYWORDS
Distortion

Image filtering

Electronic filtering

Filtering (signal processing)

Linear filtering

Convolution

Optical filters

Back to Top