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2011 ( 2 n - 1 ) -Point Ternary Approximating and Interpolating Subdivision Schemes
Muhammad Aslam, Ghulam Mustafa, Abdul Ghaffar
J. Appl. Math. 2011: 1-13 (2011). DOI: 10.1155/2011/832630

Abstract

We present an explicit formula which unifies the mask of ( 2 n - 1 ) -point ternary interpolating as well as approximating subdivision schemes. We observe that the odd point ternary interpolating and approximating schemes introduced by Lian (2009), Siddiqi and Rehan (2010, 2009) and Hassan and Dodgson (2003) are special cases of our proposed masks/schemes. Moreover, schemes introduced by Zheng et al. (2009) can easily be generated by our proposed masks. It is also proved from comparison that ( 2 n - 1 ) -point schemes are better than 2 n -scheme in the sense of computational cost, support and error bounds.

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Muhammad Aslam. Ghulam Mustafa. Abdul Ghaffar. " ( 2 n - 1 ) -Point Ternary Approximating and Interpolating Subdivision Schemes." J. Appl. Math. 2011 1 - 13, 2011. https://doi.org/10.1155/2011/832630

Information

Published: 2011
First available in Project Euclid: 15 March 2012

zbMATH: 1235.65011
MathSciNet: MR2861915
Digital Object Identifier: 10.1155/2011/832630

Rights: Copyright © 2011 Hindawi

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