有限光谱数据稳定目标恢复的迭代算法

Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints Pub Date : 1900-01-01 DOI:10.1364/srs.1983.wa17

J. Abbiss, C. De Mol, H. Dhadwal

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引用次数: 0

摘要

我们分析了在存在噪声的情况下，当相干图像由一个由延伸到(−Ω， Ω)的一维清晰瞳孔组成的空间不变系统形成时，物体恢复的问题。如果目标分布f(x)在−x和+ x之间，则由该系统形成的无噪声图像g¯(y)由式(1)给出。在傅里叶空间中，该方程的解等价于截断频谱的无限外推。

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On an iterative algorithm for stabilised object restoration from limited spectral data

We analyse the problem of object restoration in the presence of noise, when the coherent image is formed by a space-invariant system consisting of a one-dimensional clear pupil extending over (−Ω, Ω). If the object distribution f(x) lies between −X and +X, the noiseless image g¯(y) formed by such a system would be given by the equation (1) In Fourier space, the solution to this equation is equivalent to infinite extrapolation of the truncated spectrum.

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Topical Meeting on Signal Recovery and Synthesis with Incomplete Information and Partial Constraints

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