(2n-1)-Point Ternary Approximating and Interpolating Subdivision Schemes. (28th September 2011)

• Record Type: Journal Article
• Authors: Aslam, Muhammad; Mustafa, Ghulam; Ghaffar, Abdul
• Other Names: Shen Hui-Shen Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2011(2011)
• Publication Date: 2011-09-28
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2011/832630
• Languages: English
• ISSNs: 1110-757X

Abstract

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 than2 n -scheme in the sense of computational cost, support and error bounds.