We have been investigating the three-dimensional (3D) display system using binary phase modulation. Basically, the elimination of the amplitude distribution and the binarization of the phase distribution degrade the reconstructed image quality and enhance the speckle influence. Therefore, the optimization of the binary phase pattern is required. So far, the Gerchberg–Saxton and modified Fresnel ping-pong algorithms have been proven to be the powerful iterative phase retrieval methods in 3D displays. Error diffusion technique is available for gray-scale phase distribution. In this paper, we compare the reconstructed image quality of two-dimensional imaged floating in the air by using several methods.
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