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19 February 1988 Frequency Domain Characterization Of Synthetic Discriminant Functions
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Proceedings Volume 0848, Intelligent Robots and Computer Vision VI; (1988) https://doi.org/10.1117/12.942720
Event: Advances in Intelligent Robotics Systems, 1987, Cambridge, CA, United States
Abstract
Synthetic Discriminant Functions (SDF's) constitute an approach to distortion-invariant pattern recognition when sufficiently descriptive training images are available. Traditionally, the SDF's have been designed in the image space even though their eventual implementation in optical processors requires the fabrication of Computer Generated Holograms (CGH's) that can be placed in the frequency plane of optical correlators. With this consideration, we formulate the SDF problem in the frequency domain and characterize the set containing all the solutions. This conversion of the SDF problem from space domain to frequency domain requires that we define a "pseudo-DFT" operation. Relevant properties of this new operation are proved. This formal mathematical characterization of the frequency-domain SDF solutions allows us to select solutions with attractive features such as having unit magnitude (phase only) or only two amplitude levels (suitable for ON-OFF devices).
© (1988) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
B. V.K. Vijaya Kumar and Zouhir Bahri "Frequency Domain Characterization Of Synthetic Discriminant Functions", Proc. SPIE 0848, Intelligent Robots and Computer Vision VI, (19 February 1988); https://doi.org/10.1117/12.942720
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