Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider the problem of finding the shortest path for a tethered robot in a planar environment with polygonal obstacles of n total vertices. The robot is attached to an anchor point by a tether of finite length. The robot can cross the tether; i.e., the tether can be self-intersecting. Neither the robot nor the tether may enter the interior of any obstacle. The initial tether configuration is given as a polyline of k vertices.If the tether is automatically retracted and kept taut,  present an O ( k n 2 log ? n ) time algorithm to find the shortest path beten the source and the destination point. This improves the previous O ( l k n 3 ) time algorithm 24, where l is the number of loops in the initial tether configuration. If the tether can only be retracted while the robot backtracks along the tether,  present an algorithm to find the shortest path in O ( ( n + log ? k ) log ? n ) time.
['Peter Brass', 'Ivo Vigan', 'Ning Xu']
I am writing a research paper on a idea Shortest path planning for a tethered robot
[{"from": "human", "value": "I am writing a research paper on a idea Shortest path planning for a tethered robot"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider the problem of finding the shortest path for a tethered robot in a planar environment with polygonal obstacles of n total vertices. The robot is attached to an anchor point by a tether of finite length. The robot can cross the tether; i.e., the tether can be self-intersecting. Neither the robot nor the tether may enter the interior of any obstacle. The initial tether configuration is given as a polyline of k vertices.If the tether is automatically retracted and kept taut,  present an O ( k n 2 log ? n ) time algorithm to find the shortest path beten the source and the destination point. This improves the previous O ( l k n 3 ) time algorithm 24, where l is the number of loops in the initial tether configuration. If the tether can only be retracted while the robot backtracks along the tether,  present an algorithm to find the shortest path in O ( ( n + log ? k ) log ? n ) time."}]