Minimum Speed Motions Classic Reprint

This book explores the fundamental concepts of minimum speed motions in the presence of obstacles, laying the groundwork for further theoretical exploration and practical applications. It delves into the mathematical modeling of time-constrained motion planning problems, introducing a geometric framework that enables efficient computation of minimum-speed paths while adhering to time constraints. The author provides a thorough analysis of the problem's geometry, demonstrating how this framework can be used to determine the minimum speed required to navigate through a given environment. The book not only offers a comprehensive theoretical understanding but also includes algorithmic solutions for both static and dynamic obstacle scenarios. Through its in-depth exploration of minimum speed motions, this book serves as an invaluable resource for researchers and practitioners seeking to advance their knowledge in motion planning and control.