Title :
Deriving linear transformations in three dimensions
Author_Institution :
Rice Univ., Houston, TX, USA
Abstract :
This article presents a general technique for solving elementary algebraic problems that arise in 3D geometry and then applies this method to derive explicit formulas for many of the linear transformations used in the standard 3D graphics pipeline.
Keywords :
algebra; computational geometry; computer graphics; 3D geometry; 3D graphics pipeline; elementary algebraic problems; linear transformations; Computer graphics; Equations; Geometry; Pipelines; Reflection; Vectors;
Journal_Title :
Computer Graphics and Applications, IEEE
DOI :
10.1109/MCG.2003.1198264
