Subscribe

Issue No.03 - May/June (2003 vol.23)

pp: 66-71

Ron Goldman , Rice University

ABSTRACT

<p>Elementary problems in 3D geometry can often be reduced to solving two simple simultaneous vector equations-one involving only the dot product and the other only the cross product-in one vector unknown. This article presents a general technique for solving such equations and then applies this method to derive explicit formulas for many of the linear transformations used in the standard 3D graphics pipeline.</p>

INDEX TERMS

rendering, illumination effects, radiosity, texture mapping, illumination model, lightmaps, ambient light, form factor, obscurance, production rendering

CITATION

Ron Goldman, "Deriving Linear Transformations in Three Dimensions",

*IEEE Computer Graphics and Applications*, vol.23, no. 3, pp. 66-71, May/June 2003, doi:10.1109/MCG.2003.1198264REFERENCES