Subdivisions with infinitely supported mask

✍ Scribed by Song Li; Yali Pan

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 224 KB
• Volume: 214
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/j.cam.2007.02.033

✦ Synopsis

In this paper we investigate the convergence of subdivision schemes associated with masks being polynomially decay sequences. Two-scale vector refinement equations are the form

where the vector of functions = ( 1 , . . . , r ) T is in (L 2 (R)) r and a =: (a( )) ∈Z is polynomially decay sequence of r × r matrices called refinement mask. Associated with the mask a is a linear operator on (L 2 (R)) r given by

By using same methods in [B. Han, R. Q. Jia, Characterization of Riesz bases of wavelets generated from multiresolution analysis, manuscript]; [B. Han, Refinable functions and cascade algorithms in weighted spaces with infinitely supported masks, manuscript]; [