Mathematics for computer graphics
Author(s)
Bibliographic Information
Mathematics for computer graphics
（Undergraduate topics in computer science）
Springer, c2022
6th ed
- : [pbk.]
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Note
Includes bibliographical references and index
Description and Table of Contents
Description
John Vince explains a comprehensive range of mathematical techniques and problem-solving strategies associated with computer games, computer animation, special effects, virtual reality, CAD and other areas of computer graphics in this completely revised and expanded sixth edition.
The first five chapters cover a general introduction, number sets, algebra, trigonometry and coordinate systems, which are employed in the following chapters on determinants, vectors, matrix algebra, complex numbers, geometric transforms, quaternion algebra, quaternions in space, interpolation, curves and patches, analytical geometry and barycentric coordinates. Following this, the reader is introduced to the relatively new subject of geometric algebra, followed by two chapters that introduce differential and integral calculus. Finally, there is a chapter on worked examples.
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
* Curves and surfaces
* Analytic geometry
* Barycentric coordinates
* Geometric algebra
* Differential calculus
* Integral calculus
This sixth edition contains approximately 150 worked examples and over 330 colour illustrations, which are central to the author's descriptive writing style. Mathematics for Computer Graphics provides a sound understanding of the mathematics required for computer graphics software and setting the scene for further reading of more advanced books and technical research papers
Table of Contents
Preface.- Introduction.- Numbers.- Algebra.- Trigonometry.- Coordinate Systems.- Determinants.- Vectors.- Matrix Algebra.- Complex Numbers.- Geometric Transforms.- Quaternion Algebra.- Quaternions in Space.- Interpolation.- Curves and Patches.- Analytic Geometry.- Barycentric Coordinates.- Geometric Algebra.- Calculus: Derivatives.- Calculus: Integration.- Worked Examples.- Appendix A.- Appendix B.- Index.
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