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Dual Quaternions and Their Associated Clifford Algebras

English

By (author): Ronald Goldman

Clifford algebra for dual quaternions has emerged recently as an alternative to standard matrix algebra as a computational framework for computer graphics. This book presents dual quaternions and their associated Clifford algebras in a new light, accessible to and geared toward the computer graphics community.

Collecting all the associated formulas and theorems in one place, this book provides an extensive and rigorous treatment of dual quaternions, as well as showing how two models of Clifford algebra emerge naturally from the theory of dual quaternions. Each section comes complete with a set of exercises to help readers sharpen and practice their understanding.

This book is accessible to anyone with a basic knowledge of quaternion algebra and is of particular use to forward-thinking members of the computer graphics community.

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Current price €55.99
Original price €153.99
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A01=Ronald GoldmanAge Group_UncategorizedAuthor_Ronald Goldmanautomatic-updateBasis VectorsCategory1=Non-FictionCategory=PBWHCategory=UYACategory=UYFCategory=UYZFClifford AlgebraCommutative SubalgebraComputer graphicsCOP=United KingdomDelivery_Pre-orderDot ProductDual AlgebraDual Quaternionseq_computingeq_isMigrated=2eq_non-fictionFloating Point ArithmeticgraphicsHyperbolic NumbersIncidence RelationsLanguage_EnglishLinear IsometriesNormal VectorsPA=Not yet availablePerspective ProjectionPrice_€100 and abovePS=ForthcomingPure QuaternionQuaternion AlgebraQuaternion MultiplicationQuaternion ProductsQuaternions RepresentingRigid MotionShearing VectorssoftlaunchTranslation VectorUnit Normal VectorUnit QuaternionsVector SpaceViolateWedge Product

Will deliver when available. Publication date 01 Sep 2025

Product Details
  • Weight: 453g
  • Dimensions: 152 x 229mm
  • Publication Date: 19 Dec 2024
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Language: English
  • ISBN13: 9781032502977

About Ronald Goldman

Ronald Goldman is a Professor of Computer Science at Rice University in Houston, Texas. Professor Goldman received his B.S. in Mathematics from the Massachusetts Institute of Technology in 1968 and his M.A. and Ph.D. in Mathematics from Johns Hopkins University in 1973.

Professor Goldman’s current research concentrates on the mathematical representation, manipulation, and analysis of shape using computers. His work includes research in computer-aided geometric design, solid modeling, computer graphics, subdivision, polynomials, and splines. His most recent focus is on the uses of quaternions, dual quaternions, and Clifford algebras in computer graphics.

Dr. Goldman has published over two hundred research articles in journals, books, and conference proceedings. He has also authored two books on computer graphics and geometric modeling: Pyramid Algorithms: A Dynamic Programming Approach to Curves and Surfaces for Geometric Modeling and An Integrated Introduction to Computer Graphics and Geometric Modeling. In addition, he has written an extended monograph on quaternions: Rethinking Quaternions: Theory and Computation.

Dr. Goldman is currently an Associate Editor of Computer Aided Geometric Design.

Before returning to academia, Dr. Goldman worked for ten years in industry solving problems in computer graphics, geometric modeling, and computer-aided design. He served as a Mathematician at Manufacturing Data Systems Inc., where he helped to implement one of the first industrial solid modeling systems. Later he worked as a Senior Design Engineer at Ford Motor Company, enhancing the capabilities of their corporate graphics and computer-aided design software. From Ford he moved on to Control Data Corporation, where he was a Principal Consultant for the development group devoted to computer-aided design and manufacture. His responsibilities included database design, algorithms, education, acquisitions, and research.

Dr. Goldman left Control Data Corporation in 1987 to become an Associate Professor of Computer Science at the University of Waterloo in Ontario, Canada. He joined the faculty at Rice University in Houston,Texas as a Professor of Computer Science in July 1990.

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