Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  present a method based on extended linear real quantifier elimination for multiple object semilinear motion planning, i.e. finding collision-free trajectories for several robots in a time dependent environment. For practical applicability the method is limited to polygonal objects and linear trajectories. It can, hover, deal with situations involving even non-convex objects.
['Andreas Dolzmann', 'Volker Weispfenning']
I am writing a research paper on a idea Multiple object semilinear motion planning
[{"from": "human", "value": "I am writing a research paper on a idea Multiple object semilinear motion planning"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  present a method based on extended linear real quantifier elimination for multiple object semilinear motion planning, i.e. finding collision-free trajectories for several robots in a time dependent environment. For practical applicability the method is limited to polygonal objects and linear trajectories. It can, hover, deal with situations involving even non-convex objects."}]