We present linear color representations for efficient color computatio
n during image synthesis. The representations follow from describing t
he spectral power distributions Of all light soul ces in a scene as su
ms over sets of fixed basis functions. Surface and volume scattering e
lements are given by matrices obtained by reprojecting every scattered
spectral power distribution into a user-defined subspace of the wavel
ength domain. This approach is a generalization of previous linear rep
resentations, such as point sampling and other matrix methods. However
, because both the basis and reprojection functions can be chosen for
each rendering situation, the representations provide increased accura
cy and flexibility for a variety of applications. Notably, the represe
ntations can provide particularly efficient descriptions of lights and
objects in local illumination renderers. Consequently, are a promisin
g candidate for use in hardware-architecture rendering systems. We rev
iew current hardware-accelerated commonly used for color-image synthes
is and describe the extensions required to employ the linear color rep
resentations. We then discuss and show examples from a prototype syste
m that provides interactive rendering rates with accurate color comput
ations. (C) 1996 John Wiley & Sons, Inc.