Parameterization of non-linear manifolds
Computational Physics
2013-04-09 v2 Numerical Analysis
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).
Keywords
Cite
@article{arxiv.1208.5246,
title = {Parameterization of non-linear manifolds},
author = {C. W. Gear},
journal= {arXiv preprint arXiv:1208.5246},
year = {2013}
}
Comments
11 pages, 6 figures