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Submitted by Vlad Stamate, posted on November 13, 2003




Image Description, by Vlad Stamate



This is my implementation of the SH (Spherical Harmonics) Lighting. What my little demo does is substitute a real light for its spherical harmonics projection. The algorithm is a little complicated but it boils down to

1) Get a light's position and color
2) Project that light into a environment map (spherical)
3) Get Spherical Harmonics coefficients from the environment map
4) Pass those coefficients to a vertex program that will do vertex level diffuse lighting

In the picture, the 2 upper images are obtained using normal lighting (OpenGL lights plus a vertex program to do the actual lighting), while the 2 bottom images are obtained using the spherical harmonics coefficients of the lights projected into the environment map. There are 3 lights in the scene.

I know that D3DX offers utility functions for calculating coefficients out of a given light, but here I coded my own utility functions. The demo is coded entirely in OpenGL. The papers I used are:

Spherical Harmonics Lighting: The Gritty Details - Robin Green (great because it explains very good the mathematics behind the technique)
An Efficient Representation for Irradiance Environment Maps - Ravi Ramamoorthi & Pat Hanrahan (good for the actual algorithm implementation explanation)

The GDC 2003 talk that Tom Forsyth and Peter Pike-Sloan gave.

The model I am using is taken from a tutorial from http://www.gametutorials.com. Keep up the good work guys.

The demo can be downloaded from: http://www.zen32404.zen.co.uk/vlad/sh.htm

Any feedback is greatly appreciated

Vlad Stamate.


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