Mathematical Basics of Motion and Deformation in Computer Graphics, Second Edition
eBook - PDF

Mathematical Basics of Motion and Deformation in Computer Graphics, Second Edition

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Mathematical Basics of Motion and Deformation in Computer Graphics, Second Edition

About this book

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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Yes, you can access Mathematical Basics of Motion and Deformation in Computer Graphics, Second Edition by Ken Anjyo,Hiroyuki Ochiai in PDF and/or ePUB format, as well as other popular books in Mathematics & Computer Vision & Pattern Recognition. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Copyright Page
  3. Title Page
  4. Contents
  5. Preface
  6. Preface to the Second Edition
  7. Symbols and Notations
  8. 1 Introduction
  9. 2 Rigid Transformation
  10. 3 Affine Transformation
  11. 4 Exponential and Logarithm of Matrices
  12. 5 2D Affine Transformation between Two Triangles
  13. 6 Global 2D Shape Interpolation
  14. 7 Parametrizing 3D Positive Affine Transformations
  15. 8 Further Readings
  16. A Formula Derivation
  17. Bibliography
  18. Authors’ Biographies