分数傅里叶域中二维复图像相位恢复的混合输入输出算法

Hybrid input-output algorithm for phase retrieval of 2-D complex image in fractional Fourier domain

通过推广经典傅里叶域内的混合输入输出算法,研究分数傅里叶域内二维复图像的相位恢复问题。给出算法的具体实施过程,并进行了数值模拟。结果表明:对于级次在0与2之间的分数傅里叶变换,当级次在1/2与3/2之间时,该算法较好;对于其余的级次,该算法的效果不能令人满意。

By introducing the hybrid input-output algorithm into classical Fourier domain, the phase retrieval of 2-dimensional complex image in fractional Fourier domain is studied. The implementation of the algorithm is given in detail, and numerical simulation is also done. For fractional Fourier transform, these results reveal that the proposed algorithm works well for the orders between 1/2 and 3/2 in the orders from 0 to 2, but not satisfactory in other orders.