Mathematics for Computer Graphics
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Beschreibung
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.
Comprehensive introduction to the mathematics used in computer graphics Includes new chapters on quaternions Richly illustrated with numerous worked examples
Autor*in
John Vince
Themen in »Mathematics for Computer Graphics«
Geometric Algebra Barycentric Coordinates Computer Graphics Software Mathematical Techniques Computer Games Geometric Transforms Quaternions
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“These days nobody can imagine a world without computer graphics. … It is a challenge to explain this theory in an easy-to-follow way. But this book shows that it is possible. … It can be used both as a textbook for a computer graphics course and for self-study by practitioners and starting researchers alike.” (Agnieszka Lisowska, zbMATH 1500.68003, 2023)
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