Image recovery from double amplitudes in fractional Fourier domain

• 来源期刊: 中国物理（英文版）
• 关键词: fractional Fourier transform image recovery phase retrieval iterative algorithm
• 年，卷（期）: 2006,（2）
• 页码范围: 347-352
• 页数: 6页
• 语种: 英文

摘要

The classical Gerchberg-Saxton algorithm is introduced into the image recovery in fractional Fourier domain after adaptation. When this algorithm is applied directly, its performance is good for smoothed image, but bad for unsmoothed image. Based on the diversity of fractional Fourier transform on its orders, this paper suggests a novel iterative algorithm, which extracts the information of the original image from amplitudes of its fractional Fourier transform at two orders. This new algorithm consists of two independent Gerchberg-Saxton procedures and an averaging operation in each circle. Numerical simulations are carried out to show its validity for both smoothed and unsmoothed images with most pairs of orders in the interval [0,1] .