Convolution-Controlled Rotation And Scale Invariance In Optical Correlation

Richard D. Juday; Brian Bourgeois

doi:10.1117/12.976593

22 August 1988 Convolution-Controlled Rotation And Scale Invariance In Optical Correlation

Richard D. Juday, Brian Bourgeois

Proceedings Volume 0938, Digital and Optical Shape Representation and Pattern Recognition; (1988) https://doi.org/10.1117/12.976593
Event: 1988 Technical Symposium on Optics, Electro-Optics, and Sensors, 1988, Orlando, FL, United States

Abstract

Wide-band phase-mostly filters are notably "sharp" with respect to in-plane image changes such as rotation and scale differences. Adverse consequences include the necessity of large libraries of reference views covering the range of rotations and scales of the object being recognized. In the near vicinity of an exact match between reference and object, the phase-mostly correlation stands out against background far more strongly than necessary for object recognition. One can move that energy off the peak and into the correlation plane vicinity of the peak with appropriate adjustments to the filter. We present an algorithm that blunts a filter against scale and rotation mismatch: a blurring expressed as a gaussian convolution in the log-polar system. An expression is derived for a four-dimensional cartesian resampling kernel, and an approximate method of implementing it is given. The filter process is shown in computer simulation for frame-grabbed imagery.

Citation Download Citation

Richard D. Juday and Brian Bourgeois "Convolution-Controlled Rotation And Scale Invariance In Optical Correlation", Proc. SPIE 0938, Digital and Optical Shape Representation and Pattern Recognition, (22 August 1988); https://doi.org/10.1117/12.976593

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