A Multiresolution Tensor Spline Method for Fitting Functions on the Sphere

作者: Tom Lyche , Larry L. Schumaker

DOI: 10.1137/S1064827598344388

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摘要: We present the details of a multiresolution method which we proposed at Taormina Wavelet Conference in 1993 (see "L-spline wavelets" Wavelets: Theory, Algorithms, and Applications, C. Chui, L. Montefusco, Puccio, eds., Academic Press, New York, pp. 197--212) is suitable for fitting functions or data on sphere. The based tensor products polynomial splines trigonometric can be adapted to produce surfaces that are either tangent plane continuous almost continuous. result convenient compression algorithm dealing with large amounts give full computer implementation highly efficient respect both storage computational cost. also demonstrate performance several test examples.

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