Mathematics for Computer Graphics / by John Vince.

Springer eBooks

Mathematics -- Numbers -- Algebra -- Trigonometry -- Cartesian Coordinates -- Vectors -- Transforms -- Interpolation -- Curves and Patches -- Analytic Geometry -- Barycentric Coordinates -- Geometric Algebra -- Worked Examples -- Conclusion.

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.

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