A C++ library with Matlab interface for the computation of clothoid curves and related algorithms, such as interpolation problems, is herein presented. Clothoids are planar curves parametrised by arclength that exhibit linear curvature. Therefore, they are useful in a variety of applications, as they naturally model many phenomena in various fields of sci- ence. However, their transcendental nature and oscillatory behaviour (because of the Fresnel integrals) render their computation a difficult task. The present library offers a numerically accurate and efficient answer to important problems of interpolation, intersection and manip- ulation of these curves. It is freely available at Matlab Central.

Clothoids: A C++ library with Matlab interface for the handling of clothoid curves / Bertolazzi, Enrico; Bevilacqua, P.; Frego, Marco. - In: RENDICONTI DEL SEMINARIO MATEMATICO. - ISSN 0373-1243. - ELETTRONICO. - 2018, vol 76:2(2018), pp. 47-56.

Clothoids: A C++ library with Matlab interface for the handling of clothoid curves

Enrico Bertolazzi;P. Bevilacqua;Marco Frego
2018-01-01

Abstract

A C++ library with Matlab interface for the computation of clothoid curves and related algorithms, such as interpolation problems, is herein presented. Clothoids are planar curves parametrised by arclength that exhibit linear curvature. Therefore, they are useful in a variety of applications, as they naturally model many phenomena in various fields of sci- ence. However, their transcendental nature and oscillatory behaviour (because of the Fresnel integrals) render their computation a difficult task. The present library offers a numerically accurate and efficient answer to important problems of interpolation, intersection and manip- ulation of these curves. It is freely available at Matlab Central.
2018
2
Bertolazzi, Enrico; Bevilacqua, P.; Frego, Marco
Clothoids: A C++ library with Matlab interface for the handling of clothoid curves / Bertolazzi, Enrico; Bevilacqua, P.; Frego, Marco. - In: RENDICONTI DEL SEMINARIO MATEMATICO. - ISSN 0373-1243. - ELETTRONICO. - 2018, vol 76:2(2018), pp. 47-56.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/261539
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