Some Bivariate Smooth Compactly Supported Tight Framelets with Three Generators
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-13
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
For any 2×2 dilation matrix with integer entries and |det A|=2, we construct a family of smooth compactly supported tight wavelet frames with three generators in L2(ℝ2).
Our construction involves some compactly supported refinable functions, the oblique extension principle, and a slight generalization of a theorem of Lai and Stöckler.
Estimates for the degrees of smoothness are given.
With the exception of a polynomial whose coefficients must in general be computed by spectral factorization, the framelets are expressed in closed form in the frequency domain, in terms of elementary transcendental functions.
By means of two examples we also show that for low degrees of smoothness the use of spectral factorization may be avoided.
American Psychological Association (APA)
San Antolín, A.& Zalik, R. A.. 2013. Some Bivariate Smooth Compactly Supported Tight Framelets with Three Generators. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-500607
Modern Language Association (MLA)
San Antolín, A.& Zalik, R. A.. Some Bivariate Smooth Compactly Supported Tight Framelets with Three Generators. Abstract and Applied Analysis No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-500607
American Medical Association (AMA)
San Antolín, A.& Zalik, R. A.. Some Bivariate Smooth Compactly Supported Tight Framelets with Three Generators. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-500607
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-500607