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Part of the book series: Computational Imaging and Vision ((CIVI,volume 2))

Abstract

Our purpose is to design a sampling scheme that minimizes the number of sampling pixels in a grey tone image while ensuring a given accuracy. Moreover, this accuracy should be preserved under increasing and/or linear transformations. The convenient framework is that of the equicontinuous model, which is reminded in Secs. 2 and 3. It is then shown that the sampling problem requires a specific piece of information about the image under study. It is introduced and called inverse module. It is used to reduce by four the data points without visual degradation, and in a way that satisfies the imposed requirements.

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© 1994 Springer Science+Business Media Dordrecht

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Serra, J. (1994). A Sampling Approach Based on Equicontinuity. In: Serra, J., Soille, P. (eds) Mathematical Morphology and Its Applications to Image Processing. Computational Imaging and Vision, vol 2. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1040-2_16

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  • DOI: https://doi.org/10.1007/978-94-011-1040-2_16

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4453-0

  • Online ISBN: 978-94-011-1040-2

  • eBook Packages: Springer Book Archive

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