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Construction for a class of interpolation multiscaling functions with dilation factor
- Source :
-
Computers & Mathematics with Applications . Dec2008, Vol. 56 Issue 11, p2948-2956. 9p. - Publication Year :
- 2008
-
Abstract
- Abstract: This paper is devoted to construction interpolatory multiscaling functions with a general dilation factor . We first show two-scale matrix symbol associated with interpolatory multiscaling functions is reduced to a special form. Also, a characterization on approximation order for the multiscaling functions is described in terms of elements of this special two-scale matrix symbol. Then, an algorithm is provided for constructing compactly supported interpolating multiscaling functions with dilation factor and higher approximation order. Finally, the associated several families examples with one-parameter or two-parameters are explicitly presented. The optimal parameter values which make multiscaling functions provide the highest regularity are also computed. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 08981221
- Volume :
- 56
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- Computers & Mathematics with Applications
- Publication Type :
- Academic Journal
- Accession number :
- 35072783
- Full Text :
- https://doi.org/10.1016/j.camwa.2008.09.017