Robotics Research Technical Report: Combinatorial and Algorithmic Analysis of Space Decomposition Problems (Classic Reprint) - Hardcover

Unknown Author

Hardcover

ISBN 10: 0656965800 ISBN 13: 9780656965809

Publisher: Forgotten Books, 2018

Synopsis

Explore how geometry unlocks smarter movement and smarter algorithms.

This detailed study presents how space can be decomposed and analyzed to solve complex geometric problems, with practical attention to motion planning and three-dimensional arrangements.

This edition dives into efficient algorithms for constructing and understanding Voronoi diagrams, geodesic paths, and the structure of 3D triangle arrangements. It translates theoretical insights into steps you can implement, including randomized and deterministic approaches, while highlighting special cases where simpler solutions emerge.

• Learn how to model collision-free motion for polyhedral bodies in environments with obstacles.
• See how the complexity of a single cell in an arrangement affects overall computation and planning.
• Discover approaches for computing both single cells and large subsets in 3D triangle arrangements.
• Understand the role of refined diagrams and how to direct their edges for efficient querying.

Ideal for readers of advanced computational geometry and those interested in algorithmic motion planning and spatial analysis.

Edition details

• Publisher: Forgotten Books
• Publication date: 2018
• Language: English
• ISBN 10: 0656965800
• ISBN 13: 9780656965809
• Binding: Hardcover
• Number of pages: 201