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Clothoids: a C++ library with MATLAB interface for the handling of clothoid curves. (English) Zbl 1440.65029
Summary: 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.

65D17 Computer-aided design (modeling of curves and surfaces)
65D05 Numerical interpolation
65D07 Numerical computation using splines
53-04 Software, source code, etc. for problems pertaining to differential geometry
53A04 Curves in Euclidean and related spaces
Matlab; Clothoids
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