IMAGE RECOVERY FROM CORRELATIONS
IMAGE RECOVERY FROM CORRELATIONS
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DOI：
10.1364/josaa.9.001266
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发表时间：
1992-08-01
影响因子：
1.9
通讯作者：
SNYDER, DL
中科院分区：
文献类型：
--
作者：
SCHULZ, TJ;SNYDER, DL
许多图像恢复问题涉及到确定一个实值的，非负的图像，其n阶相关近似于一些测量或指定的功能。特殊情况是从二阶相关或相位恢复的图像恢复，以及从三阶相关或三重相关恢复的图像恢复。例子包括天文散斑成像，光谱学，成像相关，和超短激光脉冲的测量。我们提出了一种迭代技术，用于从n阶相关性的测量中恢复图像。这种技术被证明是保持非负性，允许包括已知的支持约束，并产生一个序列的图像，其n阶相关更好地近似测量数据的迭代进行。
Many image-recovery problems involve the determination of a real-valued, nonnegative image whose nth-order correlation approximates some measured or specified function. Special cases are image recovery from second-order correlations, or phase retrieval, and image recovery from third-order correlations, or triple-correlation recovery. Examples include astronomical speckle imaging, spectroscopy, imaging correlography, and the measurement of ultrashort laser pulses. We propose an iterative technique for recovering images from measurements of nth-order correlations. This technique is shown to preserve nonnegativity, allow for the inclusion of known support constraints, and produce a sequence of images whose nth-order correlations better approximate the measured data as the iterations proceed.