Invariant joint transform correlator using coordinate transformation

Jihong Feng; Minxian Wu; Guofan Jin

doi:10.1117/1.601098

1 December 1996 Invariant joint transform correlator using coordinate transformation

Jihong Feng, Minxian Wu, Guofan Jin

Optical Engineering, Vol. 35, Issue 12, (December 1996). https://doi.org/10.1117/1.601098

A joint transform correlator incorporating the coordinate transformation 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 simultaneously. A binary optical component is designed and fabricated to perform 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 ? axis when the target is rotated.

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Jihong Feng, Minxian Wu, and Guofan Jin "Invariant joint transform correlator using coordinate transformation," Optical Engineering 35(12), (1 December 1996). https://doi.org/10.1117/1.601098

Published: 1 December 1996

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