Compactly Supported Tight and Sibling Frames Based on Generalized Bernstein Polynomials
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-06-27
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We obtain a family of refinable functions based on generalized Bernstein polynomials to provide derived properties.
The convergence of cascade algorithms associated with the new masks is proved, which guarantees the existence of refinable functions.
Then, we analyze the symmetry, regularity, and approximation order of the refinable functions, which are of importance.
Tight and sibling frames are constructed and interorthogonality of sibling frames is demonstrated.
Finally, we give numerical examples to explicitly illustrate the construction of the proposed approach.
American Psychological Association (APA)
Cheng, Ting& Yang, Xiaoyuan. 2016. Compactly Supported Tight and Sibling Frames Based on Generalized Bernstein Polynomials. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1111876
Modern Language Association (MLA)
Cheng, Ting& Yang, Xiaoyuan. Compactly Supported Tight and Sibling Frames Based on Generalized Bernstein Polynomials. Mathematical Problems in Engineering No. 2016 (2016), pp.1-13.
https://search.emarefa.net/detail/BIM-1111876
American Medical Association (AMA)
Cheng, Ting& Yang, Xiaoyuan. Compactly Supported Tight and Sibling Frames Based on Generalized Bernstein Polynomials. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1111876
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1111876