Vector Geometry in Computer Graphics

The following technical report describes the mathematics underlying the cryph geometric utilities:

The Mathematics of Graphical Transformations: Vector Geometric and Coordinate-Based Approaches, James R. Miller, DesignLab Technical Report DL-1997-03, January 1997 (current revision: 2 May 2003).

The following two journal articles were derived from this technical report.

• Vector Geometry for Computer Graphics, IEEE Computer Graphics and Applications, Vol. 19, No. 3, May/June 1999, pp. 66-73.
• Applications of Vector Geometry for Robustness and Speed, IEEE Computer Graphics and Applications, Vol. 19, No. 4, July/August 1999, pp. 68-73.

Read the cryph software utilities documentation and sample programs to see how these ideas can be realized in C++ programs.