Quasi-interpolatory refinable functions and construction of biorthogonal wavelet systems
The authors present a new family of compactly supported and symmetric biorthogonal wavelet system with tension parameter \(\omega\). When \(\omega=0\), it becomes the minimal length Coifman biorthogonal wavelet system [\textit{D. Wei, J. Tian, R. O. Wells} and \textit{C. S. Burrus}, IEEE Trans. Image Process. 7, No.~7, 1000--1013 (1998; Zbl 0973.94005)]. Choosing \(\omega\) away from zero, the refinable function computation costs slightly more and the function can be better smoothness. The authors also highlight the connection between the quasi-interpolatory subdivision schmes and the masks by \textit{A. Cohen, I. Daubechies} and \textit{J.-C. Feauveau} [Commun. Pure Appl. Math. 45, No.~5, 485--560 (1992; Zbl 0776.42020)].
scientific article; zbMATH DE number 5799380
scientific article