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Generic Equations for Constructing Smooth Paths Along Circles and Tangent Lines With Application to Airport Ground Paths

機譯：用于構造沿圓和切線的平滑路徑的通用方程及其在機場地面路徑中的應用

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The primary purpose of this publication is to develop a mathematical model to describe smooth paths along any combination of circles and tangent lines. Two consecutive circles in a path are either tangent (externally or internally) or they appear on the same (lateral) or opposite (transverse) sides of a connecting tangent line. A path may start or end on either a segment or circle. The approach is to use mathematics common to robotics to design the path as a multilink manipulator. This approach allows a hierarchical view of the problem and keeps the notation manageable. A user simply specifies a few parameters to configure a path. Necessary and sufficient conditions automatically ensure the consistency of the inputs for a smooth path. Two example runway exit paths are given, and an angle to go assists in knowing when to switch from one path element to the next.

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作者
Barker, L. K.;
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年度 1998
頁碼 1-33
總頁數 33
原文格式 PDF
正文語種 eng
中圖分類工業技術;
關鍵詞
Paths; Tangents; Circles(Geometry); Airports; Smoothing; Mathematical models; Robotics; Manipulators; Runways; Matrices(Mathematics); Doors; Angles(Geometry);

機譯：路徑;切線;圓（幾何）;機場;平滑;數學模型;機器人;操縱器;跑道;矩陣（數學）;門;角度（幾何）;

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Generic Equations for Constructing Smooth Paths Along Circles and Tangent Lines With Application to Airport Ground Paths

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