Illumination in diverse codimensions

This paper considers an idealized subclass of surface reflectivities; namely a simple superposition of ideal diffuse and ideal specular, restricted to point light sources. The 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 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 ID geometry (the grooves or fur) and the 2D geometry (the surface).

[1]  James T. Kajiya,et al.  The rendering equation , 1986, SIGGRAPH.

[2]  Henry Fuchs,et al.  Pixel-planes 5: a heterogeneous multiprocessor graphics system using processor-enhanced memories , 1989, SIGGRAPH.

[3]  Steven K. Feiner,et al.  Computer Graphics - Principles and Practice, 3rd Edition , 1990 .

[4]  David Cotton Banks,et al.  Interacting with surfaces in four dimensions using computer graphics , 1993 .

[5]  Pat Hanrahan,et al.  Reflection from layered surfaces due to subsurface scattering , 1993, SIGGRAPH.

[6]  Andrew J. Hanson,et al.  Interactive visualization methods for four dimensions , 1993, Proceedings Visualization '93.

[7]  David Salesin,et al.  A fast and accurate light reflection model , 1992, SIGGRAPH.

[8]  AnjyoKen-ichi,et al.  A simple method for extracting the natural beauty of hair , 1992, SIGGRAPH.

[9]  James T. Kajiya,et al.  Anisotropic reflection models , 1985, SIGGRAPH.

[10]  Berthold K. P. Horn,et al.  Shape from shading , 1989 .

[11]  G. S. P. Miller.  From wire-frames to furry animals , 1989 .

[12]  Stephen H. Westin,et al.  Predicting reflectance functions from complex surfaces , 1992, SIGGRAPH.

[13]  Gregory J. Ward,et al.  Measuring and modeling anisotropic reflection , 1992, SIGGRAPH.

[14]  Pheng-Ann Heng,et al.  Visualizing the fourth dimension using geometry and light , 1991, Proceeding Visualization '91.

[15]  David Banks,et al.  Interactive manipulation and display of surfaces in four dimensions , 1992, I3D '92.

[16]  Daniel Thalmann,et al.  Rendering hair using pixel blending and shadow buffers , 1991, Comput. Animat. Virtual Worlds.

[17]  Yasuhiko Watanabe,et al.  A trigonal prism-based method for hair image generation , 1992, IEEE Computer Graphics and Applications.

[18]  David F. Rogers,et al.  Procedural Elements for Computer Graphics , 1984 .

[19]  James T. Kajiya,et al.  Rendering fur with three dimensional textures , 1989, SIGGRAPH.

[20]  James F. Blinn,et al.  Models of light reflection for computer synthesized pictures , 1977, SIGGRAPH.

[21]  Pierre Poulin,et al.  A model for anisotropic reflection , 1990, SIGGRAPH.