However, one thing we cannot assume is that the real part is always first, and the imaginary part second, because bi + a is also a complex number. Consequently, two functions are employed 3.4 Definition of a Complex Number 25 3.5 Field ...
To help the reader understand the concepts and formulas presented here, we have incorporated many exercises in order to clarify and elaborate some of the key points in the text.
Table of Contents: Preface / Theory / Computation / Rethinking Quaternions and Clif ford Algebras / References / Further Reading / Author Biography
The book includes introductory chapters on complex numbers, matrices, quaternions and geometric algebra, and further chapters on how these techniques are employed in 2D and 3D computer graphics.
single-circuit quaternion surface. That is, each point on the 3D surfaces appears twice, once at q, and once at −q, in these periodic quaternion Gauss maps. We see that the singular coordinate system typically used for the ellipsoid is ...
This book presents an introduction to the practical and analytical advantages of dual-quaternions and their potential in the area of graphics and animation.
Mathematics for Computer Graphics covers all of the key areas of the subject, including: Number sets Algebra Trigonometry Complex numbers Coordinate systems Determinants Vectors Quaternions Matrix algebra Geometric transforms Interpolation ...
This is a concise and informal introductory book on the mathematical concepts that underpin computer graphics.
Focusing on the manipulation and representation of geometrical objects, this book explores the application of geometry to computer graphics and computer-aided design (CAD).
This book is about the mathematical basics and applications of quaternions. The first four chapters mainly concerns the mathematical theories, while the latter three chapters are related with three application aspects.
Filled with lots of clear examples and useful illustrations, this compact book provides an excellent introduction to geometric algebra for computer graphics.