On Stationary Subdivision And the Construction of Compactly Supported Orthonormal Wavelets

1990 ◽  
pp. 69-90 ◽  
Author(s):  
Wolfgang Dahmen ◽  
Charles A. Micchelli
Keyword(s):  
Compactly Supported ◽  
Orthonormal Wavelets ◽  
Stationary Subdivision

ORTHONORMAL MRA WAVELETS: SPECTRAL FORMULAS AND ALGORITHMS

2012 ◽  
Vol 10 (01) ◽  
pp. 1250008 ◽  
Author(s):  
F. GÓMEZ-CUBILLO ◽  
Z. SUCHANECKI ◽  
S. VILLULLAS
Keyword(s):  
Multiresolution Analysis ◽  
Matrix Representation ◽  
Infinite Product ◽  
Scaling Functions ◽  
Compactly Supported ◽  
Orthonormal Bases ◽  
Spectral Decompositions ◽  
Product Matrix ◽  
Orthonormal Wavelets

Spectral decompositions of translation and dilation operators are built in terms of suitable orthonormal bases of L2(ℝ), leading to spectral formulas for scaling functions and orthonormal wavelets associated with multiresolution analysis (MRA). The spectral formulas are useful to compute compactly supported scaling functions and wavelets. It is illustrated with a particular choice of the orthonormal bases, the so-called Haar bases, which yield a new algorithm related to the infinite product matrix representation of Daubechies and Lagarias.

Parametrization of compactly supported orthonormal wavelets

1993 ◽  
Vol 41 (3) ◽  
pp. 1428-1431 ◽  
Author(s):  
H. Zou ◽  
A.H. Tewfik
Keyword(s):  
Compactly Supported ◽  
Orthonormal Wavelets
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