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Construction of Orthogonal Multiresolution Analysis Using Quadratic Fractal Interpolation Functions

DENG Xiao-yan,LONG Guang-qing(Department of Scientific Computing and Computer Application,Sun Yat-sen University,Guangzhou 510275,China)  
A method for constructing a continuous,supported and orthogonal scale functions using quadratic fractal(interpolation) functions is given,differing from orthogonal wavelets constructed by AFIFs,scale functions have(differentiability) and can be used to set up numerical scheme for differential equation.
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