Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  calculate the partition of the configuration space R/sup 2//spl times/S/sup 1/ of a car-like robot, only moving forwards, with respect to the type of the length optimal paths. This kind of robot is subject to kinematic constraints on its path curvature and its orientation. Starting from the results on shortest paths,  give new optimality conditions on these paths, and compute the partition for any horizontal plane of the configuration space. >
['Xuan-Nam Bui', 'Jean Daniel Boissonnat', 'Philippe Souères', 'J.-P. Laumond']
I am writing a research paper on a idea Shortest path synthesis for Dubins non-holonomic robot
[{"from": "human", "value": "I am writing a research paper on a idea Shortest path synthesis for Dubins non-holonomic robot"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  calculate the partition of the configuration space R/sup 2//spl times/S/sup 1/ of a car-like robot, only moving forwards, with respect to the type of the length optimal paths. This kind of robot is subject to kinematic constraints on its path curvature and its orientation. Starting from the results on shortest paths,  give new optimality conditions on these paths, and compute the partition for any horizontal plane of the configuration space. >"}]