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Properties and Computational Implications of Zero-Sheets

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Abstract

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].

© 1989 Optical Society of America

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