Title : 
An method of constructing bivariate Box-spline
         
        
            Author : 
Luo, Hui ; Deng, Cai-xia ; Zhu, Jian-li
         
        
            Author_Institution : 
Appl. Sci. Coll., Harbin Univ. of Sci. & Technol., Harbin
         
        
        
        
        
        
        
            Abstract : 
A class of new scalar function and wavelet function is constructed by use of Haar wavelet and bivariate box-spline function and their properties, then several sufficient conditions are given when the new wavelet is bivariate box-spline wavelet. This construction provides a new method for the general construction of wavelet so that construction of wavelet becomes much more concise.
         
        
            Keywords : 
Haar transforms; functions; splines (mathematics); wavelet transforms; Haar wavelet; bivariate box-spline wavelet function; scalar function; Dictionaries; Educational institutions; Fourier transforms; Pattern analysis; Pattern recognition; Sufficient conditions; Wavelet analysis; Bivariate Box-spline; Scalar function; Wavelet function;
         
        
        
        
            Conference_Titel : 
Wavelet Analysis and Pattern Recognition, 2008. ICWAPR '08. International Conference on
         
        
            Conference_Location : 
Hong Kong
         
        
            Print_ISBN : 
978-1-4244-2238-8
         
        
            Electronic_ISBN : 
978-1-4244-2239-5
         
        
        
            DOI : 
10.1109/ICWAPR.2008.4635837