8.3 Lambertian Reflection
One of the simplest BRDFs is the Lambertian model. It models a perfect diffuse surface that scatters incident illumination equally in all directions. Although this reflection model is not physically plausible, it is a reasonable approximation to many real-world surfaces such as matte paint.
The LambertianReflection constructor takes a reflectance spectrum , which gives the fraction of incident light that is scattered.
The reflection distribution function for LambertianReflection is quite straightforward, since its value is constant. However, the value must be returned, rather than the reflectance supplied to the constructor. This can be seen by equating to Equation (8.1), which defined , and solving for the BRDF’s value.
The directional-hemispherical and hemispherical-hemispherical reflectance values for a Lambertian BRDF are trivial to compute analytically, so the derivations are omitted in the text.
It’s also useful to be able to represent perfect Lambertian transmission through a surface; this BTDF is implemented in LambertianTransmission. Its implementation closely follows LambertianReflection and thus isn’t included here.