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Parameterization of non-linear manifolds

By C. W. Gear


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).Comment: 11 pages, 6 figure

Topics: Physics - Computational Physics, Mathematics - Numerical Analysis, 65P99, 37M99
Year: 2013
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