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MOC
2002

Quincunx fundamental refinable functions and quincunx biorthogonal wavelets

13 years 3 months ago
Quincunx fundamental refinable functions and quincunx biorthogonal wavelets
Abstract. We analyze the approximation and smoothness properties of quincunx fundamental refinable functions. In particular, we provide a general way for the construction of quincunx interpolatory refinement masks associated with the quincunx lattice in R2. Their corresponding quincunx fundamental refinable functions attain the optimal approximation order and smoothness order. In addition, these examples are minimally supported with symmetry. For two special families of such quincunx interpolatory masks, we prove that their symbols are nonnegative. Finally, a general way of constructing quincunx biorthogonal wavelets is presented. Several examples of quincunx interpolatory masks and quincunx biorthogonal wavelets are explicitly computed.
Bin Han 0003, Rong-Qing Jia
Added 22 Dec 2010
Updated 22 Dec 2010
Type Journal
Year 2002
Where MOC
Authors Bin Han 0003, Rong-Qing Jia
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