Mathematics for Computer Graphics ApplicationsThis completely revised Second Edition of "Computer Graphics" includes valuable information on major organizational changes within the last few years. This edition brings to the fore the basic mathematical tools of computer graphics, including vectors, matrices, and transformations. Additionally, it provides a strong, comprehensive base in exploring math, computer science, physics, engineering, and in special subjects such as algebraic and computational geometry, geometric modeling, and CAD/CAM. A highly diversified book that can be utilized as a primary textbook, supplemental teaching resource, individual tutorial, or key reference text.

Contents
Vectors  1 
Matrix Methods  28 
Transformations  47 
Symmetry and Groups  73 
Intervals  119 
Topology  129 
Points  165 
Lines  174 
Polyhedra  205 
Constructive Solid Geometry  226 
Halfspaces  229 
Curves  244 
The Bézier Curve  264 
Surfaces  277 
1  286 
Display and Scene Transformations  315 
Common terms and phrases
affine transformations algebraic angle apply approaches axes axis boundary bounded called Chapter closed coefficients combine complex components compute connectivity construct containing continuity convex coordinate system corresponding create cube curve define definition denote describe determine dimensions direction display distance divide edges elements equal Equation example Exercise express faces Figure four function geometric given halfspaces identical inside interior intersection interval length limit line segments mathematical matrix means object operator origin p₁ parallel parametric path plane points polygon polyhedra polyhedron position possible produces projection properties reflection region regular relationship represent respect result rotation sequence shape shows side simple solid space sphere square straight line surface symmetry Table tangent tangent vectors topological transformation translation triangle variable vector vertex vertices window write zero