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A Note on Spherical Splines

Nicholas I. Fisher, Toby Lewis

Journal of the Royal Statistical Society: Series B (Statistical Methodology) · 1985 · Volume 47 · Issue 3

DOI: 10.1111/j.2517-6161.1985.tb01378.x

Abstract

This paper presents two families of curves for interpolating and smoothing sequences of points on the surface of the unit sphere. One family is a natural analogue of the usual splines for curve-fitting in the plane; the other is slightly less optimal but more convenient from a computational viewpoint.

Keywords

loxodrome, natural splines, spherical data

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