Please use this identifier to cite or link to this item: https://doi.org/10.1016/S1063-5203(02)00511-0
Title: Framelets: MRA-based constructions of wavelet frames
Authors: Daubechies, I.
Han, B.
Ron, A.
Shen, Z. 
Keywords: Fast frame transform
Framelets
Frames
Multiresolution analysis
Oblique extension principle
Pseudo-splines
Tight frames
Unitary extension principle
Wavelets
Issue Date: Jan-2003
Source: Daubechies, I., Han, B., Ron, A., Shen, Z. (2003-01). Framelets: MRA-based constructions of wavelet frames. Applied and Computational Harmonic Analysis 14 (1) : 1-46. ScholarBank@NUS Repository. https://doi.org/10.1016/S1063-5203(02)00511-0
Abstract: We discuss wavelet frames constructed via multiresolution analysis (MRA), with emphasis on tight wavelet frames. In particular, we establish general principles and specific algorithms for constructing framelets and tight framelets, and we show how they can be used for systematic constructions of spline, pseudo-spline tight frames, and symmetric bi-frames with short supports and high approximation orders. Several explicit examples are discussed. The connection of these frames with multiresolution analysis guarantees the existence of fast implementation algorithms, which we discuss briefly as well. © 2002 Elsevier Science (USA). All rights reserved.
Source Title: Applied and Computational Harmonic Analysis
URI: http://scholarbank.nus.edu.sg/handle/10635/103298
ISSN: 10635203
DOI: 10.1016/S1063-5203(02)00511-0
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