A Multiresolution Tensor Spline Method for Fitting Functions on the Sphere

DOI10.1137/S1064827598344388zbMath0971.42027MaRDI QIDQ4509854

Tom Lyche, Larry L. Schumaker

Publication date: 19 October 2000

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

waveletspolynomial splinesmultiresolutiontrigonometric splinesspherical data compressiontensor splines

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Trigonometric approximation (42A10) Numerical methods for wavelets (65T60) Multidimensional problems (41A63) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (11)

On the dimension of Tchebycheffian spline spaces over planar T-meshes ⋮ Unnamed Item ⋮ Quadratic spline wavelets with arbitrary simple knots on the sphere. ⋮ Uniform tension algebraic trigonometric spline wavelets of class \(C^2\) and order four ⋮ A \(\widetilde{\mathcal{C}}^2\) spline quasi-interpolant for fitting 3D data on the sphere and applications ⋮ Sampling, splines and frames on compact manifolds ⋮ A Tchebycheffian Extension of Multidegree B-Splines: Algorithmic Computation and Properties ⋮ Quadratic spherical spline quasi-interpolants on Powell-Sabin partitions ⋮ A multiresolution method for fitting scattered data on the sphere ⋮ Spherical Harmonics Based Special Function Systems and Constructive Approximation Methods ⋮ Shape-preserving interpolation of irregular data by bivariate curvature-based cubic \(L_1\) splines in spherical coordinates

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