Overview
- Devoted to fundamental aspects of optimal visibility-based path and motion planning problems
- Provides concrete examples having significant practical importance and exercises for enhancing reader’s understanding of the basic ideas and concepts
- Identifies challenging unsolved problems for further studies
- Includes supplementary material: sn.pub/extras
Part of the book series: Studies in Computational Intelligence (SCI, volume 568)
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Table of contents (6 chapters)
Keywords
About this book
This monograph deals with various visibility-based path and motion planning problems motivated by real-world applications such as exploration and mapping planetary surfaces, environmental surveillance using stationary or mobile robots, and imaging of global air/pollutant circulation. The formulation and solution of these problems call for concepts and methods from many areas of applied mathematics including computational geometry, set-covering, non-smooth optimization, combinatorial optimization and optimal control. Emphasis is placed on the formulation of new problems and methods of approach to these problems. Since geometry and visualization play important roles in the understanding of these problems, intuitive interpretations of the basic concepts are presented before detailed mathematical development. The development of a particular topic begins with simple cases illustrated by specific examples, and then progresses forward to more complex cases.
The intended readers of this monograph are primarily students and researchers in engineering, computer science and applied mathematics. An understanding of the mathematical development of the main results requires only basic knowledge of mathematical analysis, control, and optimization theories. Some exercises with various degrees of difficulty are provided at the end of the main chapters. The material presented here may serve as a portion of an introductory course or seminar on visibility-based optimal path and motion planning problems with the objective of stimulating interest and further studies in this relatively new area.
Reviews
From the book reviews:
“Problems related to the visibility and observation of objects and regions form the core focus of this book. … Each chapter has a dedicated bibliography where the reader can follow up on the material presented. The book provides a wide-ranging survey of the topic of visibility and can be read with profit by both students and practitioners with a strong background in mathematics.” (J. P. E. Hodgson, Computing Reviews, November, 2014)Authors and Affiliations
Bibliographic Information
Book Title: Visibility-based Optimal Path and Motion Planning
Authors: Paul Keng-Chieh Wang
Series Title: Studies in Computational Intelligence
DOI: https://doi.org/10.1007/978-3-319-09779-4
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Hardcover ISBN: 978-3-319-09778-7Published: 27 August 2014
Softcover ISBN: 978-3-319-35682-2Published: 23 August 2016
eBook ISBN: 978-3-319-09779-4Published: 13 August 2014
Series ISSN: 1860-949X
Series E-ISSN: 1860-9503
Edition Number: 1
Number of Pages: VIII, 198
Number of Illustrations: 124 b/w illustrations
Topics: Computational Intelligence, Artificial Intelligence, Control, Robotics, Mechatronics