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Clothoids: A C++ library with Matlab interface for the handling of clothoid curves
Journal article   Open access   Peer reviewed

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

E Bertolazzi, P Bevilacqua and Marco Frego
Rendiconti del Seminario Matematico, Vol.76(2), pp.47-56
76
2018
Handle:
https://hdl.handle.net/10863/49018

Abstract

Computer-aided design Interpolation Splines
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 science. 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 manipulation of these curves. It is freely available at Matlab Central. © 2018 Rendiconti del Seminario Matematico. All rights reserved.
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