A Six-Point Variant on the Lane-Riesenfeld Algorithm. (8th May 2014)

• Record Type: Journal Article
• Authors: Ashraf, Pakeeza; Mustafa, Ghulam; Deng, Jiansong
• Other Names: Alwash Mohamad Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2014(2014)
• Publication Date: 2014-05-08
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2014/628285
• Languages: English
• ISSNs: 1110-757X

Abstract

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.