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. Author manuscript; available in PMC: 2011 Feb 25.
Published in final edited form as: Int J Rob Res. 2009;57:535–549. doi: 10.1007/978-3-642-00312-7_33

Fig. 6.

Fig. 6

Paths generated by the 2D inverse kinematics algorithm compared to the optimal paths for a Dubins car. The worst-case scenario occurs when the three circles defining the IK solution are farthest apart and the straight-line segment of the optimal Dubins path provides the best ‘short-cut’.