A Six‐Point Variant on the Lane‐Riesenfeld Algorithm

Pakeeza Ashraf, Ghulam Mustafa and Jiansong Deng

Journal of Applied Mathematics, 2014, vol. 2014, issue 1

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.

Date: 2014
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https://doi.org/10.1155/2014/628285

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:628285

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