There are many computational vision techniques that fundamentally rely upon
assumptions about the nature of diffuse reflection from object surfaces co
nsisting of commonly occurring nonmetallic materials. Probably the most pre
valent assumption made about diffuse reflection by computer vision research
ers is that its reflected radiance distribution is described by the Lambert
ian model, whether the surface is rough or smooth. While computationally an
d mathematically a relatively simple model, in physical reality the Lambert
ian model is deficient in accurately describing the reflected radiance dist
ribution for both rough and smooth nonmetallic surfaces. Recently, in compu
ter vision diffuse reflectance models have been proposed separately for rou
gh, and, smooth nonconducting dielectric surfaces each of these models accu
rately predicting salient non-Lambertian phenomena that have important bear
ing on computer vision methods relying upon assumptions about diffuse refle
ction. Together these reflectance models are complementary in their respect
ive applicability to rough and smooth surfaces. A unified treatment is pres
ented here detailing important deviations from Lambertian behavior for both
rough and smooth surfaces. Some speculation is given as to how these separ
ate diffuse reflectance models may be combined.