Quasi-interpolatory refinable functions and construction of biorthogonal wavelet systems

We present a new family of compactly supported and symmetric biorthogonal wavelet systems, which extend and unify the Biorthogonal Coifman wavelet system. The refinement mask has a tension parameter . When w = 0, it becomes the the Biorthogonal Coifman wavelet system. However, choosing away from zero, we can get better smoothness of the refinable functions at the expense of slightly larger support. Though the construction of our birothogonal wavelet system starts from a new class of quasi-interpolatory subdivision schemes, but we find that the refinement masks accidently coincides with the ones by Daubechies at. el. in [3,

• Type: Journal
• Year: 2010
• Where: ADCM
• Authors: Hong Oh Kim, Rae Young Kim, Yeon Ju Lee, Jungho Yoon
• Keywords: ADCM 2010, Biorthogonal Wavelet Systems, Quasi-interpolatory Subdivision Schemes, Wavelet