著者

蘭 豊礼 玉井 博文 牧野 洋

出版者

公益社団法人 精密工学会

雑誌

精密工学会誌 (ISSN:09120289)

巻号頁・発行日

vol.76, no.10, pp.1194-1199, 2010-10-05 (Released:2011-04-05)

参考文献数

9

被引用文献数

2 10

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This paper describes trajectory design using clothoid segments. As a trajectory path, clothoid is superior to the other curves because its curvature varies linearly with its curve length. However, a single clothoid segment is not able to match both tangent and curvature designation at its terminals because it has no sufficient parameters. In our study, “triple clothoid” is introduced to match both tangent and curvature designations. The triple clothoid is a set of three clothoid segments connected internally with curvature continuity. It has sufficient parameters needed for tangent and curvature matching at its terminals. The triple clothoid segments are used to construct a smooth transition passing through arbitrary point sequence. The resultant trajectory possesses curvature continuity and matches all tangent and curvature designations at the giving points. Those results are extended from two-dimensional (2D) to three-dimensional (3D) space. In 3D space, a predefined 3D clothoid is used to construct triple 3D clothoid. The resultant 3D trajectory also possesses kinematical superiority because of its differential linearity in both pitch and yaw angles. The triple clothoid can also be used for connecting two straight segments with curvature continuity.

著者

蘭 豊礼 玉井 博文 三浦 憲二郎 牧野 洋

出版者

公益社団法人 精密工学会

雑誌

精密工学会誌 (ISSN:09120289)

巻号頁・発行日

vol.78, no.7, pp.605-610, 2012-07-05 (Released:2013-01-05)

参考文献数

20

被引用文献数

2 1

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In two-dimensional(2D) space, the clothoid is a preferred trajectory curve because its curvature varies linearly with its curve length. However, in three-dimensional(3D) space, both curvature and torsion must be considered. This paper deals with path generation using linear curvature and torsion segments which can be considered a 3D extension of the 2D clothoid. In our study, the path segments are generated by solving the Frenet-Serret equation. In every path segment, its curvature and torsion varies linearly with its curve length. In order to obtain more free parameters, plural curve segments are connected in series to make a compound curve. The curve is used to connect two given points which may have given Frenet-Frame, curvature and torsion constraints. These curves are also used to construct a smooth transition passing through an arbitrary point sequence. The resultant path possesses C2 as well as torsion continuity and matches all given Frenet-frame, curvature and torsion constraints at the given points.