Spline Wavelets: Construction, Implication, and Uses

2007 ◽  
pp. 163-185
Author(s):  
Sambhunath Biswas ◽  
Brian C. Lovell
Keyword(s):  
Spline Wavelets

Wavelet Transforms with a Compact Carrier on the Basis of Spline Wavelets

2007 ◽  
Vol 66 (6) ◽  
pp. 505-512
Author(s):  
A. D. Kukharev ◽  
Yu. S. Evstifeev ◽  
V. G. Yakovlev
Keyword(s):  
Wavelet Transforms ◽  
Spline Wavelets

scholarly journals Solution of nonlinear Fredholm-Hammerstein integral equations by using semiorthogonal spline wavelets

2005 ◽  
Vol 2005 (1) ◽  
pp. 113-121 ◽  
Author(s):  
M. Lakestani ◽  
M. Razzaghi ◽  
M. Dehghan
Keyword(s):  
Integral Equations ◽  
Algebraic Equations ◽  
B Spline ◽  
Compactly Supported ◽  
Hammerstein Integral Equations ◽  
Spline Wavelets

Compactly supported linear semiorthogonal B-spline wavelets together with their dual wavelets are developed to approximate the solutions of nonlinear Fredholm-Hammerstein integral equations. Properties of these wavelets are first presented; these properties are then utilized to reduce the computation of integral equations to some algebraic equations. The method is computationally attractive, and applications are demonstrated through an illustrative example.

A spline wavelets element method for frame structures vibration

1995 ◽  
Vol 16 (1) ◽  
pp. 11-21 ◽  
Author(s):  
W. -H. Chen ◽  
C. -W. Wu
Keyword(s):  
Frame Structures ◽  
Spline Wavelets ◽  
Element Method

scholarly journals Maximum Vanishing Moment of Compactly Supported B-spline Wavelets

2019 ◽  
pp. 1-8
Author(s):  
Kanchan Lata Gupta ◽  
B. Kunwar ◽  
V. K. Singh
Keyword(s):  
Scaling Function ◽  
Simple Procedure ◽  
Smoothness Property ◽  
Vanishing Moments ◽  
B Spline ◽  
B Splines ◽  
Compactly Supported ◽  
Spline Wavelets ◽  
Vanishing Moment ◽  
Rule Order

Spline function is of very great interest in field of wavelets due to its compactness and smoothness property. As splines have specific formulae in both time and frequency domain, it greatly facilitates their manipulation. We have given a simple procedure to generate compactly supported orthogonal scaling function for higher order B-splines in our previous work. Here we determine the maximum vanishing moments of the formed spline wavelet as established by the new refinable function using sum rule order method.

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