Four-Point n-Ary Interpolating Subdivision Schemes
Joint Authors
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-14
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Mustafa, Ghulam& Bashir, Robina. 2013. Four-Point n-Ary Interpolating Subdivision Schemes. International Journal of Mathematics and Mathematical Sciences،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-506017
Modern Language Association (MLA)
Mustafa, Ghulam& Bashir, Robina. Four-Point n-Ary Interpolating Subdivision Schemes. International Journal of Mathematics and Mathematical Sciences No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-506017
American Medical Association (AMA)
Mustafa, Ghulam& Bashir, Robina. Four-Point n-Ary Interpolating Subdivision Schemes. International Journal of Mathematics and Mathematical Sciences. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-506017
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-506017