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One of the few student texts on introductory mathematics including a chapter on geometric algebra
Covers a broad range of relevant mathematical topics
Includes over one hundred illustrations
Contains many worked examples
Takes the reader from humble introductory ideas through to some advanced concepts
John Vince explains a wide range of mathematical techniques and problem-solving strategies associated with computer games, computer animation, virtual reality, CAD, and other areas of computer graphics.
Covering all the mathematical techniques required to resolve geometric problems and design computer programs for computer graphic applications, each chapter explores a specific mathematical topic prior to moving forward into the more advanced areas of matrix transforms, 3D curves and surface patches. Problem-solving techniques using vector analysis and geometric algebra are also discussed.
All the key areas are covered including:
Numbers
Algebra
Trigonometry
Coordinate geometry
Transforms
Vectors
Curves and surfaces
Barycentric coordinates
Analytic geometry
Plus – and unusually in a student textbook – a chapter on geometric algebra is included.
With plenty of worked examples, the book provides a sound understanding of the mathematics required for computer graphics, giving a fascinating insight into the design of computer graphics software, and setting the scene for further reading of more advanced books and technical research papers.
Table of Contents
1. Mathematics
2. Numbers
3. Numbers
4. Trigonometry
5. Cartesian Coordinates
6. Vectors
7. Transforms
8. Interpolation
9. Curves and Patches
10. Analytic Geometry
11. Barycentric Coordinates
12. Geometric Algebra
13. Worked Examples
Conclusion
IndexISBN - 9788132204473
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Pages : 308
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