Max-product type multivariate sampling operators and applications to image processing

Ugur Kadak

Chaos, Solitons & Fractals, 2022, vol. 157, issue C

Abstract: In this work, we introduce and study a new family of max-product type multivariate sampling operators based on the fractional integral operator. We discuss some important properties, and establish the approximation behaviors of these operators in Lp spaces, for 1≤p<+∞. To demonstrate the modeling capability we present a novel algorithm for digital image processing by these operators based upon three different kernel families. Moreover, we give some illustrative graphics that show the convergence behaviors of the operators in both one and two-dimensional cases. Finally, we estimate the rate of convergence of these operators for functions belonging to the Lipschitz class.

Keywords: Sampling operators; Signal processing; Image processing; Max-product operator; Multivariate fractional calculus (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:157:y:2022:i:c:s0960077922001242

DOI: 10.1016/j.chaos.2022.111914

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