Four-Point -Ary Interpolating Subdivision Schemes

Ghulam Mustafa and Robina Bashir

International Journal of Mathematics and Mathematical Sciences, 2013, vol. 2013, 1-8

Abstract:

We present an efficient and simple algorithm to generate 4-point n -ary interpolating schemes. Our algorithm is based on three simple steps: second divided differences, determination of position of vertices by using second divided differences, and computation of new vertices. It is observed that 4-point n -ary interpolating schemes generated by completely different frameworks (i.e., Lagrange interpolant and wavelet theory) can also be generated by the proposed algorithm. Furthermore, we have discussed continuity, Hölder regularity, degree of polynomial generation, polynomial reproduction, and approximation order of the schemes.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:893414

DOI: 10.1155/2013/893414

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