Shape-Preserving Properties of a Relaxed Four-Point Interpolating Subdivision Scheme

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ID: 112750
2020
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Abstract
In this paper, we analyze shape-preserving behavior of a relaxed four-point binary interpolating subdivision scheme. These shape-preserving properties include positivity-preserving, monotonicity-preserving and convexity-preserving. We establish the conditions on the initial control points that allow the generation of shape-preserving limit curves by the four-point scheme. Some numerical examples are given to illustrate the graphical representation of shape-preserving properties of the relaxed scheme.
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ashraf2020mathematicsshape-preserving Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Pakeeza Ashraf;Abdul Ghaffar;Dumitru Baleanu;Irem Sehar;Kottakkaran Sooppy Nisar;Faheem Khan;Ashraf, Pakeeza;Ghaffar, Abdul;Baleanu, Dumitru;Sehar, Irem;Nisar, Kottakkaran Sooppy;Khan, Faheem;
Journal Mathematics
Year 2020
DOI
10.3390/math8050806
URL
https://www.mdpi.com/2227-7390/8/5/806
Keywords
Shape preservation interpolating subdivision scheme limit curve

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