Quaternion-Valued Smooth Compactly Supported Orthogonal Wavelets with Symmetry

2019 ◽  
Vol 29 (2) ◽  
Author(s):  
Guangsheng Ma ◽  
Lizhong Peng ◽  
Jiman Zhao
Keyword(s):  
Orthogonal Wavelets ◽  
Compactly Supported

Design of Compactly Supported Nonseparable Orthogonal Wavelet with Arbitrary Dilation in L2(Rd)

2013 ◽  
Vol 694-697 ◽  
pp. 2926-2930
Author(s):  
Lan Li
Keyword(s):  
Identity Matrix ◽  
Arbitrary Integer ◽  
Orthogonal Wavelet ◽  
Wavelet Bases ◽  
Orthogonal Wavelets ◽  
Compactly Supported ◽  
Dilation Matrix

In this paper, we present a method for the construction of nonseparable and compactly supported orthogonal wavelet bases in ，and orthogonal wavelet bases with this method are nonseparable . The orthogonal wavelets are associated with arbitrary dilation matrix, where is the identity matrix of order and is the arbitrary integer.

scholarly journals Construction of Bivariate Nonseparable Compactly Supported Orthogonal Wavelets

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Jinsong Leng ◽  
Tingzhu Huang ◽  
Carlo Cattani
Keyword(s):  
Scaling Functions ◽  
Pass Filter ◽  
Low Pass Filter ◽  
Orthogonal Wavelets ◽  
Compactly Supported ◽  
Dilation Matrix ◽  
Accuracy Order ◽  
Low Pass ◽  
Accuracy Parameter

A method for constructing bivariate nonseparable compactly supported orthogonal scaling functions, and the corresponding wavelets, using the dilation matrixM:=2n𝕀=2n[1001],(d=detM=22n≥4,n∈ℕ)is given. The accuracy and smoothness of the scaling functions are studied, thus showing that they have the same accuracy order as the univariate Daubechies low-pass filterm0(ω), to be used in our method. There follows that the wavelets can be made arbitrarily smooth by properly choosing the accuracy parameterr.

The construction of a class of trivariate nonseparable compactly supported orthogonal wavelets

2009 ◽  
Vol 40 (3) ◽  
pp. 1530-1537
Author(s):  
Yongdong Huang ◽  
Chongmin Lei ◽  
Miao Yang
Keyword(s):  
Orthogonal Wavelets ◽  
Compactly Supported

Design of compactly supported trivariate orthogonal wavelets

2007 ◽  
Vol 34 (5) ◽  
pp. 1440-1449 ◽  
Author(s):  
Yongdong Huang ◽  
Zhengxing Cheng ◽  
Jianwei Yang
Keyword(s):  
Orthogonal Wavelets ◽  
Compactly Supported
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