Radial basis interpolation on homogeneous manifolds: convergence rates

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Radial basis interpolation on homogeneous manifolds: convergence rates

Pointwise error estimates for approximation on compact homogeneous manifolds using radial kernels are presented. For a C positive definite kernel κ the pointwise error at x for interpolation by translates of κ goes to 0 like ρ, where ρ is the density of the interpolating set on a fixed neighbourhood of x. Tangent space techniques are used to lift the problem from the manifold to Euclidean space...

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ژورنال

عنوان ژورنال: Advances in Computational Mathematics

سال: 2007

ISSN: 1019-7168,1572-9044

DOI: 10.1007/s10444-005-9000-1