TY - JOUR

T1 - Mathematical basics of motion and deformation in computer graphics

AU - Anjyo, Ken

AU - Ochiai, Hiroyuki

N1 - Publisher Copyright:
Copyright © 2014 by Morgan & Claypool. All rights reserved.

PY - 2015

Y1 - 2015

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.

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U2 - 10.2200/S00599ED1V01Y201409CGR017

DO - 10.2200/S00599ED1V01Y201409CGR017

M3 - Article

AN - SCOPUS:84932637968

VL - 6

SP - 1

EP - 85

JO - Synthesis Lectures on Computer Graphics and Animation

JF - Synthesis Lectures on Computer Graphics and Animation

SN - 1933-8996

IS - 3

ER -