Excerpt from Robotics Research Technical Report: Algorithmic Motion Planning in Robotics
We will have more to say about these extensions of the problem later on, but for now let us focus on the simpler, static, and purely geometric version of the problem as posed above. As we shall see, it is difficult enough to solve the problem as it is, and each of the extensions just mentioned tends to make the solution ever so much more complicated.
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Paperback. Condizione: New. Print on Demand. This book provides an algorithmic approach to motion planning, a problem with significant mathematical depth and sophistication. It investigates effective algorithms and geometric techniques for solving complex motion planning problems, particularly in situations with a rich geometric and combinatorial structure. The author explores exact solutions of the problem for complex moving systems and discusses the limitations and trade-offs of various approaches. The book also examines extensions to the basic motion planning problem, such as moving obstacles, optimal motion, and unknown or partially known environments. A significant contribution of this book is the development of efficient algorithms for planning the motions of specific robot systems, such as a planar rigid body moving in a planar polygonal region and a line segment moving in three-dimensional space amidst polyhedral obstacles. The author emphasizes the importance of understanding the exact solution to the problem before exploring approximating or heuristic shortcuts, arguing that these shortcuts can lead to a loss of efficiency and hinder a deep understanding of the mathematical structure of the problem. 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. Codice articolo 9781332098132_0
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