Studies in Computational Intelligence

Visibility-based Optimal Path and Motion Planning

Authors: Wang, Paul Keng-Chieh

  • 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
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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)

Table of contents (6 chapters)

  • Introduction

    Wang, Paul Keng-Chieh

    Pages 1-5

  • Mathematical Preliminaries

    Wang, Paul Keng-Chieh

    Pages 7-34

  • Static Optimal Visibility Problems

    Wang, Paul Keng-Chieh

    Pages 35-78

  • Visibility-Based Optimal Path Planning

    Wang, Paul Keng-Chieh

    Pages 79-99

  • Visibility-based Optimal Motion Planning

    Wang, Paul Keng-Chieh

    Pages 101-139

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-09779-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-319-09778-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • ISBN 978-3-319-35682-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Visibility-based Optimal Path and Motion Planning
Authors
Series Title
Studies in Computational Intelligence
Series Volume
568
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-09779-4
DOI
10.1007/978-3-319-09779-4
Hardcover ISBN
978-3-319-09778-7
Softcover ISBN
978-3-319-35682-2
Series ISSN
1860-949X
Edition Number
1
Number of Pages
VIII, 198
Number of Illustrations and Tables
124 b/w illustrations
Topics