منابع مشابه
Biorthogonal Spline Type Wavelets
Let φ be an orthonormal scaling function with approximation degree p−1, and let Bn be the B-spline of order n. Then, spline type scaling functions defined by f̄n = f ∗Bn (n = 1, 2, . . . ) possess higher approximation order, p+n−1, and compact support. The corresponding biorthogonal wavelet functions are also constructed. This technique is extended to the case of biorthogonal scaling function sy...
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In this paper we investigate spline wavelets on general triangulations. In particular, we are interested in C1 wavelets generated from piecewise quadratic polynomials. By using the Powell-Sabin elements, we set up a nested family of spaces of C1 quadratic splines, which are suitable for multiresolution analysis of Besov spaces. Consequently, we construct C1 wavelet bases on general triangulatio...
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متن کاملC1 spline wavelets on triangulations
In this paper we investigate spline wavelets on general triangulations. In particular, we are interested in C1 wavelets generated from piecewise quadratic polynomials. By using the Powell-Sabin elements, we set up a nested family of spaces of C1 quadratic splines, which are suitable for multiresolution analysis of Besov spaces. Consequently, we construct C1 wavelet bases on general triangulatio...
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ژورنال
عنوان ژورنال: International Journal of Wavelets, Multiresolution and Information Processing
سال: 2004
ISSN: 0219-6913,1793-690X
DOI: 10.1142/s0219691304000342