Parameterization of non-linear manifolds (1208.5246v2)

Published 26 Aug 2012 in physics.comp-ph and math.NA

Abstract: In this report we consider the parameterization of low-dimensional manifolds that are specified (approximately) by a set of points very close to the manifold in the original high-dimensional space. Our objective is to obtain a parameterization that is (1-1) and non singular (in the sense that the Jacobian of the map between the manifold and the parameter space is bounded and non singular).

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Authors (1)

C. W. Gear

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