Abstract

A recently proposed position, rotation, and scale-invariant optical pattern recognition system using a holographic logpolar mapping filter is analyzed with respect to resolution and accuracy. The limits are set by the resolution of the mapping filter, which must have a bandwidth proportional to the square of the input bandwidth. With 1800 × 1800 pixels in the computer-generated mapping filter, we get a maximum input field of 24 × 24 pixels and an angular resolution of 4.8°. Determination of the position of the input object is possible with at best 50% relative accuracy, and, in practice, multiobject capability is highly questionable. Numerical simulations and experimental evidence support the resolution limits found.

© 1988 Optical Society of America

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