Front cover image for Geometry for computer graphics : formulae, examples and proofs

Geometry for computer graphics : formulae, examples and proofs

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
eBook, English, ©2005
Springer, London, ©2005
Springer eBooks
1 online resource (xxii, 342 pages) : illustrations
9781852338343, 9781846281167, 9781280459344, 9786610459346, 1852338342, 1846281164, 1280459344, 6610459347
65196876
From the contents: Geometry
Lines, angles and trigonometry
Circe
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
Circe
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