This paper derives a model of diffuse and specular illumination in arbitrarily large dimensions, based on a few characteristics of material and light in 3-space. It then describes how to adjust for the anomaly of excess brightness in large codimensions. If a surface is grooved or furry, it can be illuminated with a hybrid model that incorporates both the 1D geometry (the grooves or fur) and the 2D geometry (the surface). Research was supported by the National Aeronautics and Space Administration under NASA Contract No. NAS119480 while the author was in residence at the Institute for Computer Applications in Science and Engineering
David C. Banks