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2014 A Six-Point Variant on the Lane-Riesenfeld Algorithm
Pakeeza Ashraf, Ghulam Mustafa, Jiansong Deng
J. Appl. Math. 2014: 1-7 (2014). DOI: 10.1155/2014/628285

Abstract

We apply six-point variant on the Lane-Riesenfeld algorithm to obtain a new family of subdivision schemes. We also determine the support, smoothness, Hölder regularity, magnitude of the artifact, and the shrinkage effect due to the change of integer smoothing parameter that characterizes the members of the family. The degree of polynomial reproduction also has been discussed. It is observed that the proposed schemes have less shrinkage effect and as a result better preserve the shape of control polygon.

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Pakeeza Ashraf. Ghulam Mustafa. Jiansong Deng. "A Six-Point Variant on the Lane-Riesenfeld Algorithm." J. Appl. Math. 2014 1 - 7, 2014. https://doi.org/10.1155/2014/628285

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131750
MathSciNet: MR3208633
Digital Object Identifier: 10.1155/2014/628285

Rights: Copyright © 2014 Hindawi

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