Proceedings, 1989 International Conference on Robotics and Automation
DOI: 10.1109/robot.1989.100153
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Continuous-curvature paths for autonomous vehicles

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Cited by 189 publications
(88 citation statements)
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“…Motivated by the pioneer works in [23]- [25] and [26], a PPT is used to connect two line segments tangentially. As shown in Fig.…”
Section: Polar Polynomial Trajectory (Ppt)mentioning
confidence: 99%
“…Motivated by the pioneer works in [23]- [25] and [26], a PPT is used to connect two line segments tangentially. As shown in Fig.…”
Section: Polar Polynomial Trajectory (Ppt)mentioning
confidence: 99%
“…After deciding μ max , the trajectory of an emergency steering manoeuvre could be calculated as shown in Equation 9 [25,37]. The width of the manoeuvre is y end , the longitudinal length of the manoeuvre is x end and the actual position of CoG in the longitudinal axis is x as shown in Equation 9.…”
Section: Trajectory Designmentioning
confidence: 99%
“…In fact, any planar curved line that is capable of satisfying the curvature continuity condition can be used instead. For instance, the Fermat's spiral (Lekkas, 2014;Lekkas et al, 2013), the single polar polynomial (Lai et al, 2007;Nelson, 1989), the cubic Bézier curve (Farouki, 2012;Seidel, 1993), and some Pythagorean hodographs (Farouki, 2008(Farouki, , 1997Farouki and Sakkalis, 1990), among others, are suitable alternatives.…”
Section: And Likewise For the Vector Of Desired Linear And Angular Acmentioning
confidence: 99%
“…Alternatives to circumvent the curvature discontinuity problem are: i) to replace each antisymmetric pair of twin clothoids by two symmetric pairs of twin clothoids linked by a short straight line; or ii) to replaced them with curved lines which yield curvature-continuous lane change paths, e.g. the curve reported in Nelson (1989); or iii) to move along the path in such a manner that the velocity and the acceleration are both null at the join point of both clothoids of the antisymmetric pair.…”
Section: Mirror-symmetric Twin Clothoidsmentioning
confidence: 99%