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Phase-shifting joint transform correlation with phase-iterative algorithm: effect of the dynamic range limit

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Abstract

With phase-shifting joint transform correlation (PSJTC) one uses multiple phase shifts to recover the phase difference between Fourier transforms of the input and the reference. In PSJTC systems the resulting phase-only function is used instead of the joint transform power spectrum (JTPS). Provided it can be recorded linearly, the JTPS reduces to a modulated sinusoidal fringe, especially when the target image matches the reference image. In practice, the JTPS has a wide dynamic range, and a CCD camera has a nonlinear response. Correspondingly, the recorded JTPS turns out to be different from a perfect sinusoidal fringe. Here we study the dynamic range effects of realizing PSJTC with the phase-iterative algorithm.

© 1999 Optical Society of America

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