Mathematical basics of motion and deformation in computer graphics

Ken Anjyo, Hiroyuki Ochiai

Research output: Chapter in Book/Report/Conference proceedingChapter


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.

Original languageEnglish
Title of host publicationMathematical Basics of Motion and Deformation in Computer Graphics
PublisherMorgan and Claypool Publishers
Number of pages82
ISBN (Electronic)9781627054447, 9781627054447
Publication statusPublished - 2014

Publication series

NameSynthesis Lectures on Computer Graphics and Animation
ISSN (Print)1933-8996
ISSN (Electronic)1933-9003

All Science Journal Classification (ASJC) codes

  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design


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