Splines on Riemannian Manifolds and a Proof of a Conjecture by Wahba
نویسنده
چکیده
This paper extends spline methods to compact Riemannian manifolds in an rkhs setting. The approach is to use the mathematical framework of rkhs, along with integrating spectral geometry associated with compact Riemannian manifolds. This combination aarmatively answers a conjecture made by Wahba (1981) that spline interpolation and smoothing available for the 2{sphere can be generalized to compact Riemannian manifolds. Applications to higher dimensional spheres and rotation matrices are also exhibited.
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