Family of a-point b-ary subdivision schemes with bell-shaped mask

Rabia Hameed and Ghulam Mustafa

Applied Mathematics and Computation, 2017, vol. 309, issue C, 289-302

Abstract: In this paper, we present a generalized Refine-Smooth algorithm to design a family of a-point b-ary approximating subdivision schemes with bell-shaped mask, where a ≥ 3 and b ≥ 2. We use the combination of corner cutting b-ary subdivision scheme and weighted average of (b+1)-points to construct the proposed family. We demonstrate that the proposed family has smaller complexity and support width and higher continuity than the existing Refine-Smooth subdivision schemes. We also study the shape preserving properties of the proposed family. In addition, it is observed that the proposed family is suitable for fitting the locally noisy, oscillatory, and irregular data.

Keywords: Weighted average; Approximating subdivision scheme; Refine-Smooth algorithm; Bell-shaped mask (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:309:y:2017:i:c:p:289-302

DOI: 10.1016/j.amc.2017.04.013

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