On the Piano Movers' Problems (Classic Reprint)

Jacob T. Schwartz, Micha Sharir

ISBN 10: 1332172482 / ISBN 13: 9781332172481

Edité par Forgotten Books, 2018

A propos de cet article

Print on Demand. This book delves into the complex and multifaceted problem of the piano movers, a predicament arising in robotics that involves planning the motion of a body within a constrained space. The author, a renowned expert in the field, presents a comprehensive analysis of various special cases of the problem, focusing on the intricate dynamics of a rigid rod navigating three-dimensional space amidst polyhedral obstacles. A key aspect of the book lies in its systematic approach to decomposing the problem into smaller, more manageable subproblems. The author demonstrates how to project the problem onto a purely polyhedral subspace, enabling the use of efficient and rigorous techniques to identify and label connected components within the free space. This approach allows for a deeper understanding of the underlying geometry and facilitates the development of effective algorithms for motion planning. The book also explores the intricate interplay between critical orientations and noncritical regions in the space of orientations. Through a careful analysis of critical configurations, the author establishes crossing rules that govern the behavior of connected components as the rod moves through these critical points. These insights provide a solid foundation for understanding the dynamics of motion planning in higher-dimensional spaces. Overall, this book offers a valuable contribution to the field of robotics and motion planning. Its systematic approach, coupled with the author's deep understanding of the geometry involved, provides a powerful framework for solving complex motion planning problems. Researchers and practitioners alike will find this book an indispensable resource for their work. 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.

N° de réf. du vendeur 9781332172481_0

Détails bibliographiques

• Titre: On the Piano Movers' Problems (Classic Reprint)
• Éditeur: Forgotten Books
• Date de parution: 2018
• Langue: anglais
• ISBN à 10 chiffres: 1332172482
• ISBN à 13 chiffres: 9781332172481
• Reliure: Paperback
• État de l'article: New
• Type de livre: print-on-demand item
• Catalogues du vendeur:
  • Geometry

A propos de ce titre

Synopsis

The digital edition of all books may be viewed on our website before purchase. Excerpt from On the Piano Movers' Problems: Three-Dimensional Space Amidst Polyhedral Obstacles (Classic Reprint)



About the Publisher

Forgotten Books publishes hundreds of thousands of rare and classic books.

This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works. This text has been digitally restored from a historical edition. Some errors may persist, however we consider it worth publishing due to the work's historical value.The digital edition of all books may be viewed on our website before purchase.