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Zustand: New.

Paperback. Zustand: New. Print on Demand. This book introduces a new mathematical concept used to calculate the shortest path for a given line segment that is moving amidst obstacles, defined as the average curve length of the orbits of points within the line segment. The authors characterize all of the shortest paths utilizing this new approach, as well as the optimal motion of the line segment moving in free space. Previously, solutions to optimal motions have been found solely for moving a sphere, which limits their applications. The new techniques in this book can be used to develop new techniques to deal with the non-linearity that arises from simultaneous rotation-translation. This technique has the potential to be used to develop new robotics and motion-planning algorithms and represents a significant advancement in understanding this 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.…

Zustand: New.