Orthonormal wavelet bases with rational dilation factors based on MRA

2014 ◽  
Author(s):  
Zhaofeng Li
Keyword(s):  
Orthonormal Wavelet ◽  
Wavelet Bases ◽  
Rational Dilation

A new family of orthonormal wavelet bases

1998 ◽  
Vol 72 (5) ◽  
pp. 294-303 ◽  
Author(s):  
L. T. Liu ◽  
H. T. Hsu ◽  
B. X. Gao
Keyword(s):  
Orthonormal Wavelet ◽  
Wavelet Bases ◽  
New Family

scholarly journals Orhonormal Wavelet Bases on The 3D Ball Via Volume Preserving Map from the Regular Octahedron

Mathematics ◽  
2020 ◽  
Vol 8 (6) ◽  
pp. 994 ◽  
Author(s):  
Adrian Holhoş ◽  
Daniela Roşca
Keyword(s):  
Unit Ball ◽  
Multiresolution Analysis ◽  
Uniform Grid ◽  
Orthonormal Wavelet ◽  
Wavelet Bases ◽  
Piecewise Constant ◽  
Regular Octahedron ◽  
Piecewise Constant Functions ◽  
Local Support ◽  
Volume Preserving

We construct a new volume preserving map from the unit ball B 3 to the regular 3D octahedron, both centered at the origin, and its inverse. This map will help us to construct refinable grids of the 3D ball, consisting in diameter bounded cells having the same volume. On this 3D uniform grid, we construct a multiresolution analysis and orthonormal wavelet bases of L 2 ( B 3 ) , consisting in piecewise constant functions with small local support.

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