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math.NA2014
A global approach to the refinement of manifold data
Nira Dyn, Nir Sharon
A refinement of manifold data is a computational process, which produces a denser set of discrete data from a given one. Such refinements are closely related to multiresolution rep…
math.NA2014
Manifold-valued subdivision schemes based on geodesic inductive averaging
Nira Dyn, Nir Sharon
Subdivision schemes have become an important tool for approximation of manifold-valued functions. In this paper, we describe a construction of manifold-valued subdivision schemes f…