In this article, the problem of approximating and visualizing the solution set of system of nonlinear inequalities is considered. In particular the proposed methods are based on two different approximations of Peano-Hilbert space-filling curves which are able to reduce the dimension of the problem for functions satisfying the Lipschitz condition. Numerical experiments showing a promising performance of the algorithms are presented.
Approximations of Space-filling Curves for Numerical Applications in Robotics
Maria Chiara NassoMembro del Collaboration Group
;Daniela Lera
2024-01-01
Abstract
In this article, the problem of approximating and visualizing the solution set of system of nonlinear inequalities is considered. In particular the proposed methods are based on two different approximations of Peano-Hilbert space-filling curves which are able to reduce the dimension of the problem for functions satisfying the Lipschitz condition. Numerical experiments showing a promising performance of the algorithms are presented.File in questo prodotto:
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