Invariant joint transform correlator using coordinate transformation

A joint transform correlator incorporating the coordinate trans- formation technique is proposed to perform invariant pattern recognition. Instead of an input image or its Fourier transform intensity being mapped, the Fourier transform of the input image is directly transformed from rectangular into logarithmic-polar coordinates. All information is saved, and as a result, multiple objects can be processed simulta- neously. A binary optical component is designed and fabricated to per- form coordinate transformation with high efficiency. Further, a Dammann grating is applied to generate a two-periodicity mapped reference image to overcome correlation peak dropping due to the cyclic shift of the mapped image along the u axis when the target is rotated. © 1996 Society of Photo-Optical Instrumentation Engineers.

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