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arXiv · 1608.08541

Constrained similarity of 2-D trajectories by minimizing the H1 semi-norm of the trajectory difference

Stefan M. Filipov·Ivan D. Gospodinov
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Abstract

This paper defines constrained functional similarity between 2-D trajectories via minimizing the H1 semi-norm of the difference between the trajectories. An exact general solution is obtained for the case wherein the components of the trajectories are mesh-functions defined on a uniform mesh and the imposed constraints are linear. Various examples are presented, one of which features application to mechanics and two-point boundary value problems. A MATLAB code is given for the solution of one of the examples. The code could easily be adjusted to other cases.

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Stefan M. Filipov, Ivan D. Gospodinov. 2016-08-28. Constrained similarity of 2-D trajectories by minimizing the H1 semi-norm of the trajectory difference. https://arxiv.org/abs/1608.08541

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