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The Sampling Theorem in Higher Dimensions

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Introduction to Shannon Sampling and Interpolation Theory

Part of the book series: Springer Texts in Electrical Engineering ((STELE))

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Abstract

The first generalization of the Shannon sampling theorem to two and more dimensions was done by Peterson and Middleton. Multidimensional signals include black and white images, which can be depicted as two dimensional functions with zero corresponding to black and one as white. Intermediate grey levels are classified between these limits.

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References

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Authors and Affiliations

  1. Interactive Systems Design Laboratory, Department of Electrical Engineering, University of Washington, 98195, Seattle, Washington, USA

    Robert J. Marks II

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  1. Robert J. Marks II
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© 1991 Springer-Verlag New York Inc.

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Marks, R.J. (1991). The Sampling Theorem in Higher Dimensions. In: Introduction to Shannon Sampling and Interpolation Theory. Springer Texts in Electrical Engineering. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9708-3_6

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  • DOI: https://doi.org/10.1007/978-1-4613-9708-3_6

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-9710-6

  • Online ISBN: 978-1-4613-9708-3

  • eBook Packages: Springer Book Archive

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