$C^1$ spline wavelets on triangulations
نویسندگان
چکیده
منابع مشابه
C1 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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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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We provide a simple representation of Strr omberg's wavelets which was studied in Strr omberg'83]. This representation enables us to compute those wavelets eeciently. We point out the multiresolution approximation associated with this wavelet and the connection with Chui-Wang's cardinal spline wavelet. A generalization of Strr omberg's wavelet is also given.
متن کاملOptimal Haar Wavelets on Spherical Triangulations
In a previous paper we constructed some Haar wavelets on spherical triangulations, which are orthogonal with respect to a weighted inner product on L2(S2). We obtained two classes of wavelets which included certain wavelets obtained by Bonneau and Nielson et al. Each of these classes depended on two parameters which satisfied a relation. In this paper we study which of these wavelets are optima...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2008
ISSN: 0025-5718,1088-6842
DOI: 10.1090/s0025-5718-07-02013-3