We analyze the properties of a class of shape-preserving refinable functions with dilation M = 3. We give an algorithm to construct totally positive bases with optimal shape-preserving properties on a finite interval. Bernstein-type bases on [0, 1] are also treated. Moreover, semiorthogonal wavelets associated with these refinable functions are constructed. Finally, a detailed example is described.
On a class of shape-preserving refinable functions with dilation 3 / Gori, Laura; Pitolli, Francesca; E., Santi. - In: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. - ISSN 0377-0427. - STAMPA. - 245:1(2013), pp. 62-74. [10.1016/j.cam.2012.12.010]
On a class of shape-preserving refinable functions with dilation 3
GORI, Laura;PITOLLI, Francesca;
2013
Abstract
We analyze the properties of a class of shape-preserving refinable functions with dilation M = 3. We give an algorithm to construct totally positive bases with optimal shape-preserving properties on a finite interval. Bernstein-type bases on [0, 1] are also treated. Moreover, semiorthogonal wavelets associated with these refinable functions are constructed. Finally, a detailed example is described.| File | Dimensione | Formato | |
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