Function recovery on manifolds using scattered data

Sampling theory, sample surveys (62D05) Integration on manifolds; measures on manifolds (58C35) Multidimensional problems (41A63) Rate of convergence, degree of approximation (41A25) Algorithms for approximation of functions (65D15) Approximate quadratures (41A55)

Cites Work

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A characterization of Sobolev spaces on the sphere and an extension of Stolarsky's invariance principle to arbitrary smoothness
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The exponent of discrepancy is at least 1. 0669
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Local polynomial reproduction and moving least squares approximation
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Random Point Sets on the Sphere—Hole Radii, Covering, and Separation
Riemannian geometry and geometric analysis
Random points are optimal for the approximation of Sobolev functions

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