Titlebook: Algorithmic Foundations of Robotics XV; Proceedings of the F Steven M. LaValle,Jason M. O’Kane,Pratap Tokekar Conference proceedings 2023 T

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https://doi.org/10.1007/978-3-642-85357-9h algorithms are intended to function under a variety of external conditions which are viewed as parameters and serve as part of the input of the algorithm. Continuing the recent paper [.], we study further the concept of parametrized topological complexity. We analyse in full detail the problem of

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https://doi.org/10.1007/978-3-642-85357-9te Morse function on the Vietoris-Rips simplicial complex to identify critical points on the surface of obstacles present. These critical points serve as waypoints for determining feasible bounds near an identified obstacle. This work builds on previous work that provides a method to approximate the

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