Mathematical basics of motion and deformation in computer graphics /

Bibliographic Details
Main Authors:	Anjyo, Ken (Author), Ochiai, Hiroyuki, 1965- (Author)
Format:	eBook
Language:	English
Published:	San Rafael, California (1537 Fourth Street, San Rafael, CA 94901 USA) : Morgan & Claypool, 2014.
Series:	Synthesis lectures in computer graphics and animation ; # 17.
Subjects:	Computer animation > Mathematics. Computer graphics > Mathematics. Lie algebra Lie group deformation motion quaternion Electronic books.
Online Access:	Connect to the full text of this electronic book

Description
Abstract:	This synthesis lecture presents an intuitive introduction to the mathematics of motion and deformation in computer graphics. Starting with familiar concepts in graphics, such as Euler angles, quaternions, and affine transformations, we illustrate that a mathematical theory behind these concepts enables us to develop the techniques for efficient/effective creation of computer animation. This book, therefore, serves as a good guidepost to mathematics (differential geometry and Lie theory) for students of geometric modeling and animation in computer graphics. Experienced developers and researchers will also benefit from this book, since it gives a comprehensive overview of mathematical approaches that are particularly useful in character modeling, deformation, and animation.
Physical Description:	1 online resource (xii, 71 pages) : illustrations. Also available in print.
Format:	Mode of access: World Wide Web. System requirements: Adobe Acrobat Reader.
Bibliography:	Includes bibliographical references (pages 65-69).
ISBN:	9781627054454
ISSN:	1933-9003 ;
DOI:	10.2200/S00599ED1V01Y201409CGR017
Access:	Abstract freely available; full-text restricted to subscribers or individual document purchasers.