A joint transform correlator incorporating the coordinate transformati
on technique is proposed to perform invariant pattern recognition. Ins
tead of an input image or its Fourier transform intensity being mapped
, the Fourier transform of the input image is directly transformed fro
m rectangular into logarithmic-polar coordinates. All information is s
aved, and as a result, multiple objects can be processed simultaneousl
y. A binary optical component is designed and fabricated to perform co
ordinate transformation with high efficiency. Further, a Dammann grati
ng is applied to generate a two-periodicity mapped reference image to
overcome correlation peak dropping due to the cyclic shift of the mapp
ed image along the theta axis when the target is rotated. (C) 1996 Soc
iety of Photo-Optical instrumentation Engineers.