Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  propose a log-space solution for robotic path planning with harmonic functions that solves the long-standing numerical precision problem.  prove that this algorithm: (1) performs the correct computations in log-space, (2) returns the true equivalent path using the log-space mapping, and (3) has a strong error bound given its convergence criterion.  evaluate the algorithm on 7 problem domains. A Graphics Processing Unit (GPU) implementation is also shown to greatly improve performance.  also provide an open source library entitled epic with extensive ROS support and demonstrate this method on a real humanoid robot: the uBot-6. Experiments demonstrate that the log-space solution rapidly produces smooth obstacle-avoiding trajectories, and supports planning in exponentially larger real-world robotic applications.
['Kyle Hollins Wray', 'Dirk Ruiken', 'Roderic A. Grupen', 'Shlomo Zilberstein']
I am writing a research paper on a idea Log-space harmonic function path planning
[{"from": "human", "value": "I am writing a research paper on a idea Log-space harmonic function path planning"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  propose a log-space solution for robotic path planning with harmonic functions that solves the long-standing numerical precision problem.  prove that this algorithm: (1) performs the correct computations in log-space, (2) returns the true equivalent path using the log-space mapping, and (3) has a strong error bound given its convergence criterion.  evaluate the algorithm on 7 problem domains. A Graphics Processing Unit (GPU) implementation is also shown to greatly improve performance.  also provide an open source library entitled epic with extensive ROS support and demonstrate this method on a real humanoid robot: the uBot-6. Experiments demonstrate that the log-space solution rapidly produces smooth obstacle-avoiding trajectories, and supports planning in exponentially larger real-world robotic applications."}]