Applied Geometry for Computer Graphics and CAD

• Main Author: Duncan, Marsh (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London, 2005.
• Edition: Second Edition.
• Series: Springer Undergraduate Mathematics Series,
• Subjects: Computer science.; Computer graphics.; Application software.; Applied mathematics.; Engineering mathematics.; Geometry.; Engineering.; Computer Science.; Computer Applications.; Applications of Mathematics.; Computer Graphics.; Engineering, general.

Focusing on the manipulation and representation of geometrical objects, this book explores the application of geometry to computer graphics and computer-aided design (CAD). An introduction to transformations of the plane and three-dimensional space describes how objects can be constructed from geome...

Table of Contents:

• Transformations of the Plane
• Homogeneous Coordinates and Transformations of the Plane
• Homogeneous Coordinates and Transformations of Space
• Projections and the Viewing Pipeline
• Curves
• Bézier Curves I
• Bézier Curves II
• B-splines
• Surfaces
• Curve and Surface Curvatures
• Rendering.