Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Path-planning problems are fundamental in many applications, such as transportation, artificial intelligence, control of autonomous vehicles, and many more. ,  consider the deterministic path-planning problem, equivalently, the single-pair shortest path problem on a given grid-like graph structure. Current commonly used algorithms in this area include the A* algorithm, Dijkstra's algorithm, and their numerous variants.  propose an innovative beamlet-based graph structure for path planning that utilizes multiscale information of the environment. This information is collected via a bottom-up fusion algorithm. This new graph structure goes beyond “nearest-neighbor” connectivity, incorporating “long-distance” interactions beten the nodes of the graph. Based on this new graph structure,  obtain a multiscale version of A* , which is advantageous when preprocessing is allowable and feasible. Compared to the benchmark A* algorithm, the use of multiscale information leads to an improvement in terms of computational complexity. Numerical experiments indicate an even more favorable behavior than the one predicted by the theoretical complexity analysis.
['Yibiao Lu', 'Xiaoming Huo', 'Panagiotis Tsiotras']
I am writing a research paper on a idea A Beamlet-Based Graph Structure for Path Planning Using Multiscale Information
[{"from": "human", "value": "I am writing a research paper on a idea A Beamlet-Based Graph Structure for Path Planning Using Multiscale Information"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Path-planning problems are fundamental in many applications, such as transportation, artificial intelligence, control of autonomous vehicles, and many more. ,  consider the deterministic path-planning problem, equivalently, the single-pair shortest path problem on a given grid-like graph structure. Current commonly used algorithms in this area include the A* algorithm, Dijkstra's algorithm, and their numerous variants.  propose an innovative beamlet-based graph structure for path planning that utilizes multiscale information of the environment. This information is collected via a bottom-up fusion algorithm. This new graph structure goes beyond \u201cnearest-neighbor\u201d connectivity, incorporating \u201clong-distance\u201d interactions beten the nodes of the graph. Based on this new graph structure,  obtain a multiscale version of A* , which is advantageous when preprocessing is allowable and feasible. Compared to the benchmark A* algorithm, the use of multiscale information leads to an improvement in terms of computational complexity. Numerical experiments indicate an even more favorable behavior than the one predicted by the theoretical complexity analysis."}]