Title
(2n-1)-Point Ternary Approximating and Interpolating Subdivision Schemes.
Abstract
We present an explicit formula which unifies the mask of (2n - 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 (2n - 1) -point schemes are better than 2n-scheme in the sense of computational cost, support and error bounds.
Year
DOI
Venue
2011
10.1155/2011/832630
JOURNAL OF APPLIED MATHEMATICS
Field
DocType
Volume
Discrete mathematics,Mathematical optimization,Interpolation,Ternary operation,Subdivision,Mathematics
Journal
2011
ISSN
Citations 
PageRank 
1110-757X
2
0.41
References 
Authors
5
3
Name
Order
Citations
PageRank
Muhammad Aslam129679.45
Ghulam Mustafa27416.17
Abdul Ghaffar353.55