146 citations · 344 across the 20 of their papers we have counts for
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cs.CG2011
Cone fields and topological sampling in manifolds with bounded curvature
Katharine Turner
Often noisy point clouds are given as an approximation of a particular compact set of interest. A finite point cloud is a compact set. This paper proves a reconstruction theorem wh…
math.DG2011
Toda frames, harmonic maps and extended Dynkin diagrams
Emma Carberry, Katharine Turner
We prove that all immersions of a genus one surface into G/T possessing a Toda frame can be constructed by integrating a pair of commuting vector fields on a finite dimensional Lie…