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• W2009307529 abstract "In this paper, we extend the method for fitting functions on the sphere, described in Lyche and Schumaker (SIAM J. Sci. Comput. 22 (2) (2000) 724) to the case of nonuniform knots. We present a multiresolution method leading to C1-functions on the sphere, which is based on tensor products of quadratic polynomial splines and trigonometric splines of order three with arbitrary simple knot sequences. We determine the decomposition and reconstruction matrices corresponding to the polynomial and trigonometric spline spaces. We describe the tensor product decomposition and reconstruction algorithms in matrix forms which are convenient for the compression of surfaces. We give the different steps of computer implementation and finally we present a test example by using two knot sequences: a uniform one and a sequence of Chebyshev points." @default.
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• W2009307529 date "2004-01-01" @default.
• W2009307529 modified "2023-09-30" @default.
• W2009307529 title "Quadratic spline wavelets with arbitrary simple knots on the sphere" @default.
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• W2009307529 doi "https://doi.org/10.1016/j.cam.2003.08.028" @default.
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