零表的性质及其计算意义

Signal Recovery and Synthesis III Pub Date : 1900-01-01 DOI:10.1364/srs.1989.wc2

R. Bates, B. K. Quek

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引用次数: 0

摘要

k维紧化(即有限振幅和大小)图像的频谱(即傅里叶变换)通过其零表来表征(直至任意复常数)，零表是(2K-2)维表面，其中频谱在2k维复傅里叶空间中消失(通过将每个实傅里叶坐标推广到复变量来构建)[1]。

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Properties and Computational Implications of Zero-Sheets

The spectrum (i.e. Fourier transform) of a K-dimensional compact (i.e. of finite amplitude and size) image is characterised (up to an arbitrary complex constant) by its zero-sheet, which is the (2K-2)-dimensional surface whereon the spectrum vanishes in 2K-dimensional complex Fourier space (constructed by generalising each real Fourier coordinate to a complex variable) [1].

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Signal Recovery and Synthesis III

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