物理学报
物理學報
물이학보
2013年
10期
153-158
,共6页
相位恢复%压缩传感
相位恢複%壓縮傳感
상위회복%압축전감
phase retrieval%compressed sensing
传统的相位恢复算法通过双强度或者单强度测量的数据进行迭代运算以恢复丢失的相位信息,它要求采样数据必须满足香农采样定理.当成像的分辨率较高时,大量的测量数据势必会对数据采样设备提出更多的要求.因此,为减少采样负担,本文提出了一种基于压缩传感的相位恢复算法,通过在傅里叶面的少量单强度测量数据,应用改进的混合输入输出算法来恢复纯相位物体的相位分布.在采样数据远小于采样定理所需的条件时,该算法仍能精确地恢复相位分布具有分块均匀特征的纯相位物体.数值仿真实验表明该算法具有良好的收敛性能.
傳統的相位恢複算法通過雙彊度或者單彊度測量的數據進行迭代運算以恢複丟失的相位信息,它要求採樣數據必鬚滿足香農採樣定理.噹成像的分辨率較高時,大量的測量數據勢必會對數據採樣設備提齣更多的要求.因此,為減少採樣負擔,本文提齣瞭一種基于壓縮傳感的相位恢複算法,通過在傅裏葉麵的少量單彊度測量數據,應用改進的混閤輸入輸齣算法來恢複純相位物體的相位分佈.在採樣數據遠小于採樣定理所需的條件時,該算法仍能精確地恢複相位分佈具有分塊均勻特徵的純相位物體.數值倣真實驗錶明該算法具有良好的收斂性能.
전통적상위회복산법통과쌍강도혹자단강도측량적수거진행질대운산이회복주실적상위신식,타요구채양수거필수만족향농채양정리.당성상적분변솔교고시,대량적측량수거세필회대수거채양설비제출경다적요구.인차,위감소채양부담,본문제출료일충기우압축전감적상위회복산법,통과재부리협면적소량단강도측량수거,응용개진적혼합수입수출산법래회복순상위물체적상위분포.재채양수거원소우채양정리소수적조건시,해산법잉능정학지회복상위분포구유분괴균균특정적순상위물체.수치방진실험표명해산법구유량호적수렴성능.
@@@@Traditional phase retrieval algorithm, which iteratively reconstructs the phase from 2-intensity measurement or 1-intensity mea-surement, requires Shannon sampling theorem to be satisfied. This could lead to more requirements for data storage when high resolution imaging is concerned. In order to lower the sampling budget, in this paper we purpose a compressed sensing based phase retrieval algorithm. Through 1-intensity measurement in Fourier plane, our improved Hybrid I/O algorithm is used to reconstruct the exact phase retribution of pure phase object. The algorighm proposed in this paper can reconstruct piecewise regular phase distributed pure phase object from far less amplitude measurements than ones for which the sampling theorem requires to be satisfied. The simulated data indicate that the algorithm has a good converge performance.