Solving Interpolation Problems on Stiefel Manifolds Using Quasi-geodesics

Using multiquadric quasi-interpolation for solving Kawahara equation

Differential Geometry. — a Metric on Shape Space with Explicit Geodesics, By

— This paper studies a specific metric on plane curves that has the property of being isometric to classical manifold (sphere, complex projective, Stiefel, Grassmann) modulo change of parametrization, each of these classical manifolds being associated to specific qualifications of the space of curves (closed-open, modulo rotation etc.). Using these isometries, we are able to explicitly describe...

A Metric on Shape Space with Explicit Geodesics

This paper studies a specific metric on plane curves that has the property of being isometric to classical manifold (sphere, complex projective, Stiefel, Grassmann) modulo change of parametrization, each of these classical manifolds being associated to specific qualifications of the space of curves (closed-open, modulo rotation etc. . . ) Using these isometries, we are able to explicitely descr...

Recognition of Humans and their Activities using Statistical analysis on Stiefel and Grassmann Manifolds

Many applications in computer vision involve learning and recognition of patterns from exemplars which lie on certain manifolds. Given a database of examples and a query, the following two questions are usually addressed – a) what is the ‘closest’ example to the query in the database ? b) what is the ‘most probable’ class to which the query belongs ? The answer to the first question involves st...

A variational problem on Stiefel manifolds

In their paper on discrete analogues of some classical systems such as the rigid body and the geodesic flow on an ellipsoid, Moser and Veselov introduced their analysis in the general context of flows on Stiefel manifolds. We consider here a general class of continuous time, quadratic cost, optimal control problems on Stiefel manifolds, which in the extreme dimensions again yield these classica...