The extrinsic geometry of dynamical systems tracking nonlinear matrix projections

F Feppon, PFJ Lermusiaux - SIAM Journal on Matrix Analysis and Applications, 2019 - SIAM
A generalization of the concepts of extrinsic curvature and Weingarten endomorphism is
introduced to study a class of nonlinear maps over embedded matrix manifolds. These …

Method and apparatus for automatic shape characterization

MI Miller, JG Csenansky, U Grenander, S Joshi… - US Patent …, 2003 - Google Patents
A method and apparatus for classifying population states based on shape characterizations
of sub-manifolds of points, curves, surfaces, or sub-volumes. A structure is examined using …

A dynamic inverse for nonlinear maps

NE Getz, JE Marsden - … of 1995 34th IEEE Conference on …, 1995 - ieeexplore.ieee.org
We consider the problem of estimating the time-varying root of a time-dependent nonlinear
map. We introduce a" dynamic inverse" of a map, another generally time-dependent map …