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Parameterization of non-linear manifolds

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 نشر من قبل Charles Gear
 تاريخ النشر 2012
  مجال البحث فيزياء
والبحث باللغة English
 تأليف C. W. Gear




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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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