Takajo H, Shizuma T, Takahashi T, Takahata S
Department of Electronic Engineering, Kyushu Institute of Technology, 1-1 Sensuicho, Tobata, Kitakyushu, 804-8550, Japan.
Appl Opt. 1999 Sep 10;38(26):5568-76. doi: 10.1364/ao.38.005568.
In general, the problem of reconstructing an object from its Fourier modulus has no solution when the Fourier modulus is contaminated by noise. Therefore a quasi solution, which we call the ideal estimate of the object to be reconstructed, is defined here based on the concept of territories of the convergence objects of the error-reduction algorithm, and a method that attempts to find that solution is presented. Keeping in mind that the ideal estimate is one of the output-stagnation objects of the hybrid input-output algorithm, we modify the hybrid input-output algorithm so that the output-stagnation objects can be located even when the value of the feedback parameter is not infinitesimally small, and this modified algorithm is combined with the hybrid input-output algorithm itself. The results of computer simulations carried out to test the performance of the proposed method are shown.
一般来说，当傅里叶模被噪声污染时，从其傅里叶模重建物体的问题没有解。因此，在此基于误差减少算法收敛对象的区域概念定义了一种准解，我们称之为待重建物体的理想估计，并提出了一种试图找到该解的方法。考虑到理想估计是混合输入 - 输出算法的输出停滞对象之一，我们对混合输入 - 输出算法进行修改，以便即使反馈参数的值不是无限小也能定位输出停滞对象，并将这种修改后的算法与混合输入 - 输出算法本身相结合。展示了为测试所提方法性能而进行的计算机模拟结果。
