The first five chapters cover a general introduction, number sets, algebra, trigonometry and coordinate systems, which are employed in the following chapters on vectors, matrix algebra, transforms, interpolation, curves and patches, analytic geometry and barycentric coordinates. Following this, the reader is introduced to the relatively new topic of geometric algebra, followed by two chapters that introduce differential and integral calculus. Finally, there is a chapter on worked examples.
Mathematics for Computer Graphicscovers all of the key areas of the subject, including:· Number sets
· Coordinate systems· Determinants· Vectors
· Matrix algebra
· Geometric transforms· Interpolation
· Curves and surfaces
· Analytic geometry
· Barycentric coordinates
· Geometric algebra· Differential calculus
· Integral calculus
This fifth edition contains over 120 worked examples and over 320 colour illustrations, which are central to the author’s descriptive writing style.Mathematics for Computer Graphicsprovides 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.
About the Author
• Mathematics for Computer Graphics (2014)• Calculus for Computer Graphics (2013)
• Matrix Transforms for Computer Games and Animation (2012)• Expanding the Frontiers of Visual Analytics and Visualization (2012)
• Quaternions for Computer Graphics (2011)• Rotation Transforms for Computer Graphics (2011
Table of ContentsIntroduction.- Numbers.- Algebra.- Trigonometry.- Coordinate Systems.- Determinants.- Vectors.- Matrix Algebra.- Geometric Transforms.- Interpolation.- Curves and Patches.- Analytic Geometry.- Barycentric Coordinates.- Geometric Algebra.- Calculus: Derivatives.- Calculus: Integration.- Worked Examples.- Conclusion.