Mathematical Basics of Motion and Deformation in Computer Graphics
Seiten
2017
|
2nd Revised edition
Morgan and Claypool Life Sciences (Verlag)
978-1-62705-697-7 (ISBN)
Morgan and Claypool Life Sciences (Verlag)
978-1-62705-697-7 (ISBN)
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, the authors illustrate that a mathematical theory behind these concepts enables us to develop the techniques for efficient/effective creation of computer animation.
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.
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.
OLM Digital, Inc. Kyushu University University of California, Berkeley
Preface
Preface to the Second Edition
Symbols and Notations
Introduction
Rigid Transformation
Affine Transformation
Exponential and Logarithm of Matrices
2D Affine Transformation between Two Triangles
Global 2D Shape Interpolation
Parametrizing 3D Positive Affine Transformations
Further Readings
Bibliography
Authors' Biographies
| Erscheinungsdatum | 06.05.2017 |
|---|---|
| Reihe/Serie | Synthesis Lectures on Visual Computing |
| Mitarbeit |
Herausgeber (Serie): Brian A. Barsky |
| Verlagsort | San Rafael, CA |
| Sprache | englisch |
| Maße | 191 x 235 mm |
| Gewicht | 198 g |
| Themenwelt | Informatik ► Web / Internet ► Web Design / Usability |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| ISBN-10 | 1-62705-697-1 / 1627056971 |
| ISBN-13 | 978-1-62705-697-7 / 9781627056977 |
| Zustand | Neuware |
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