The mask of (2b + 4)-point n-ary subdivision scheme

In this paper, we present general formulae for the mask of (2 b  + 4)-point n -ary approximating as well as interpolating subdivision schemes for any integers and . These formulae corresponding to the mask not only generalize and unify several well-known schemes but also provide the mask of higher a...

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Bibliographic Details
Published in:Computing 2010-10, Vol.90 (1-2), p.1-14
Main Authors: Mustafa, Ghulam, Rehman, Najma Abdul
Format: Article
Language:English
Subjects:
Algorithmics. Computability. Computer arithmetics
Applied mathematics
Applied sciences
Approximation
Artificial Intelligence
Computation
Computer Appl. in Administrative Data Processing
Computer Communication Networks
Computer Science
Computer science
control theory
systems
Exact sciences and technology
Information Systems Applications (incl.Internet)
INT
Integers
Masks
Mathematics
Methods of scientific computing (including symbolic computation, algebraic computation)
Numerical analysis
Numerical analysis. Scientific computation
Sciences and techniques of general use
Software Engineering
Subdivisions
Theoretical computing
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Summary:In this paper, we present general formulae for the mask of (2 b  + 4)-point n -ary approximating as well as interpolating subdivision schemes for any integers and . These formulae corresponding to the mask not only generalize and unify several well-known schemes but also provide the mask of higher arity schemes. Moreover, the 4-point and 6-point a -ary schemes introduced by Lian [Appl Appl Math Int J 3(1):18–29, 2008] are special cases of our general formulae.
ISSN:0010-485X
1436-5057
DOI:10.1007/s00607-010-0108-x