Real-time clothoid approximation by Rational Bezier curves

N Montés, A Herraez, L Armesto… - 2008 ieee international …, 2008 - ieeexplore.ieee.org
2008 ieee international conference on robotics and automation, 2008ieeexplore.ieee.org
This paper presents a novel technique for implementing Clothoidal real-time paths for
mobile robots. As first step, rational Bezier curves are obtained as approximation of the
Fresnel integrals. By rescaling, rotating and translating the previously computed RBC, an on-
line Clothoidal path is obtained. In this process, coefficients, weights and control points are
kept invariant. This on-line approach guarantees that an RBC has the same behavior as the
original Clothoid using a low curve order. The resulting Clothoidal path allows any two …
This paper presents a novel technique for implementing Clothoidal real-time paths for mobile robots. As first step, rational Bezier curves are obtained as approximation of the Fresnel integrals. By rescaling, rotating and translating the previously computed RBC, an on-line Clothoidal path is obtained. In this process, coefficients, weights and control points are kept invariant. This on-line approach guarantees that an RBC has the same behavior as the original Clothoid using a low curve order. The resulting Clothoidal path allows any two arbitrary poses to be joined in a plane. RBCs working as Clothoids are also used to search for the shortest bounded-curvature path with a significant computational cost reduction. In addition to this, the proposed technique is tested on a real mobile robot for trajectory generation and kinematic control. To the authors' knowledge, the present approach is the first technique which allows real-time Clothoidal path computation .
ieeexplore.ieee.org
以上显示的是最相近的搜索结果。 查看全部搜索结果