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Guide to Geometric Algebra in Practice

Editors: Dorst, Leo, Lasenby, Joan (Eds.)

  • Reviews algebraic techniques for geometrical problems in computer science and engineering, and the relationships between them
  • Provides hands-on review exercises throughout the book, together with helpful chapter summaries
  • Includes contributions from an international community of experts, spanning a broad range of disciplines
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  • ISBN 978-0-85729-811-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
Hardcover n/a
  • ISBN 978-0-85729-810-2
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Softcover n/a
  • ISBN 978-1-4471-5897-4
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About this book

Geometric algebra (GA), also known as Clifford algebra, is a powerful unifying framework for geometric computations that extends the classical techniques of linear algebra and vector calculus in a structural manner. Its benefits include cleaner computer-program solutions for known geometric computation tasks, and the ability to address increasingly more involved applications.

This highly practical Guide to Geometric Algebra in Practice reviews algebraic techniques for geometrical problems in computer science and engineering, and the relationships between them. The topics covered range from powerful new theoretical developments, to successful applications, and the development of new software tools. Contributions are included from an international community of experts spanning a broad range of disciplines.

Topics and features:

  • Provides hands-on review exercises throughout the book, together with helpful chapter summaries
  • Presents a concise introductory tutorial to conformal geometric algebra (CGA)
  • Examines the application of CGA for the description of rigid body motion, interpolation and tracking, and image processing
  • Reviews the employment of GA in theorem proving and combinatorics
  • Discusses the geometric algebra of lines, lower-dimensional algebras, and other alternatives to 5-dimensional CGA
  • Proposes applications of coordinate-free methods of GA for differential geometry

This comprehensive guide/reference is essential reading for researchers and professionals from a broad range of disciplines, including computer graphics and game design, robotics, computer vision, and signal processing. In addition, its instructional content and approach makes it suitable for course use and students who need to learn the value of GA techniques.

Dr. Leo Dorst is Universitair Docent (tenured assistant professor) in the Faculty of Sciences, University of Amsterdam, The Netherlands. Dr. Joan Lasenby is University Senior Lecturer in the Engineering Department of Cambridge University, U.K.

Table of contents (21 chapters)

  • Rigid Body Dynamics and Conformal Geometric Algebra

    Lasenby, Anthony (et al.)

    Pages 3-24

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  • Estimating Motors from a Variety of Geometric Data in 3D Conformal Geometric Algebra

    Valkenburg, Robert (et al.)

    Pages 25-45

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  • Inverse Kinematics Solutions Using Conformal Geometric Algebra

    Aristidou, Andreas (et al.)

    Pages 47-62

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  • Reconstructing Rotations and Rigid Body Motions from Exact Point Correspondences Through Reflections

    Fontijne, Daniel (et al.)

    Pages 63-78

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  • Square Root and Logarithm of Rotors in 3D Conformal Geometric Algebra Using Polar Decomposition

    Dorst, Leo (et al.)

    Pages 81-104

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Buy this book

eBook n/a
  • ISBN 978-0-85729-811-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
Hardcover n/a
  • ISBN 978-0-85729-810-2
  • Free shipping for individuals worldwide
Softcover n/a
  • ISBN 978-1-4471-5897-4
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
Guide to Geometric Algebra in Practice
Editors
  • Leo Dorst
  • Joan Lasenby
Copyright
2011
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London Limited
eBook ISBN
978-0-85729-811-9
DOI
10.1007/978-0-85729-811-9
Hardcover ISBN
978-0-85729-810-2
Softcover ISBN
978-1-4471-5897-4
Edition Number
1
Number of Pages
XVII, 458
Topics