Mathematical Basics of Motion and Deformation in Computer Graphics (Synthesis Lectures on Computer Graphics and Animation) - Softcover

Anjyo, Ken; Ochiai, Hiroyuki

 
9781627054447: Mathematical Basics of Motion and Deformation in Computer Graphics (Synthesis Lectures on Computer Graphics and Animation)
Softcover
ISBN 10: 1627054448 ISBN 13: 9781627054447
Publisher: Morgan and Claypool Life Sciences, 2014

Synopsis

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. Table of Contents: Preface / Symbols and Notations / Introduction / Rigid Transformation / Affine Transformation / Exponential and Logarithm of Matrices / 2D Affine Transformation between Two Triangles / Global 2D Shape Interpolation / Parametrizing 3D Positive Affine Transformations / Further Readings / Bibliography / Authors' Biographies

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About the Author

OLM Digital, Inc.

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Publisher
Morgan and Claypool Life Sciences
Publication date
2014
Language
English
ISBN 10 
1627054448
ISBN 13 
9781627054447
Binding
Paperback
Number of pages
83