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ISBN 10: 1852338342
ISBN 13: 9781852338343
Author: John Vince
Geometry is the cornerstone of computer graphics and computer animation, and provides the framework and tools for solving problems in two and three dimensions. This may be in the form of describing simple shapes such as a circle, ellipse, or parabola, or complex problems such as rotating 3D objects about an arbitrary axis.
Geometry for Computer Graphics draws together a wide variety of geometric information that will provide a sourcebook of facts, examples, and proofs for students, academics, researchers, and professional practitioners.
The book is divided into 4 sections: the first summarizes hundreds of formulae used to solve 2D and 3D geometric problems. The second section places these formulae in context in the form of worked examples. The third provides the origin and proofs of these formulae, and communicates mathematical strategies for solving geometric problems. The last section is a glossary of terms used in geometry.
Geometry
Lines, Angles, and Trigonometry
Circle
Triangle
Quadrilaterals
Polygon
Three-Dimensional Objects
Coordinate Systems
Vectors
Quaternions
Transformations
2D Straight Line
Lines and Circles
Second-Degree Curves
3D Straight Line
The Plane
Line, Plane, and Sphere
3D Triangle
Parametric Curves and Patches
Second-Degree Surfaces in Standard Form
Examples
Trigonometry
Circle
Triangle
Quadrilateral
Polygon
Three-Dimensional Objects
Coordinate Systems
Vectors
Quaternions
Transformations
2D Straight Line
Lines and a Circle
Second-Degree Curves
3D Straight Line
The Plane
Line, Plane, and Sphere
3D Triangle
Parametric Curves and Patches
Second-Degree Surfaces in Standard Form
Proofs
Glossary
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Tags: John Vince, Geometry, Graphics