Excerpt from Robotics Research Technical Report
U) Work on this paper by the firs: author has been supported in part by a grant from the o.s.-israeli Binational Science Foundation.
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Paperback. Condition: New. Print on Demand. This book explores the mathematical challenges and solutions surrounding finding the shortest paths between points in three-dimensional spaces bounded by polyhedral surfaces. It begins by addressing the two-dimensional case before tackling the more complex three-dimensional problem, which can also be applied to situations where barriers are aligned in a specific way along a straight line. The author provides a doubly exponential-time solution to this discrete subproblem of determining the sequence of boundary edges through which the shortest path passes. The book also offers an algorithm for solving the problem of finding the shortest path along the surface of a convex polyhedron in time O(n^3 log n), where n is the number of obstacle corners. Through its exploration of the theoretical underpinnings of pathfinding in bounded spaces, this book makes a significant contribution to the field of robotics and related disciplines. By providing efficient algorithms for solving these problems, the author opens up new possibilities for the optimization of path planning in a wide range of applications. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781332092253_0
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