Mathematical Basics of Motion and Deformation in Computer Graphics

Ken Anjyo, Hiroyuki Ochiai (Autoren)

Buch | Softcover

83 Seiten

2014
Morgan and Claypool Life Sciences (Verlag)
978-1-62705-444-7 (ISBN)

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Presents an intuitive introduction to the mathematics of motion and deformation in computer graphics. This title serves as a good guidepost to mathematics (differential geometry and Lie theory) for students of geometric modelling and animation in computer graphics.

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.

Preface
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

Erscheint lt. Verlag	30.10.2014
Reihe/Serie	Synthesis Lectures on Computer Graphics and Animation
Verlagsort	San Rafael, CA
Sprache	englisch
Maße	187 x 235 mm
Themenwelt	Informatik ► Web / Internet ► Web Design / Usability
Themenwelt	Technik ► Umwelttechnik / Biotechnologie
ISBN-10	1-62705-444-8 / 1627054448
ISBN-13	978-1-62705-444-7 / 9781627054447
Zustand	Neuware