TY - CHAP

T1 - Mathematical basics of motion and deformation in computer graphics

AU - Anjyo, Ken

AU - Ochiai, Hiroyuki

PY - 2014/1/1

Y1 - 2014/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84929334862&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84929334862&partnerID=8YFLogxK

M3 - Chapter

AN - SCOPUS:84929334862

T3 - Synthesis Lectures on Computer Graphics and Animation

SP - 1

EP - 82

BT - Mathematical Basics of Motion and Deformation in Computer Graphics

PB - Morgan and Claypool Publishers

ER -