Mathematical Basics of Motion and Deformation in Computer Graphics

Second Edition

Nonfiction, Science & Nature, Mathematics, Applied, Computers, Application Software, Computer Graphics, General Computing
Cover of the book Mathematical Basics of Motion and Deformation in Computer Graphics by Ken Anjyo, Hiroyuki Ochiai, Brian A. Barsky, Morgan & Claypool Publishers
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Author: Ken Anjyo, Hiroyuki Ochiai, Brian A. Barsky ISBN: 9781681733142
Publisher: Morgan & Claypool Publishers Publication: April 13, 2017
Imprint: Morgan & Claypool Publishers Language: English
Author: Ken Anjyo, Hiroyuki Ochiai, Brian A. Barsky
ISBN: 9781681733142
Publisher: Morgan & Claypool Publishers
Publication: April 13, 2017
Imprint: Morgan & Claypool Publishers
Language: English

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.

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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.

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