The irradiance distribution function at a point can be stored using a diffuse cube map, also called irradiance environment map. At SIGGRAPH 2001, Ramamoorthi and Hanrahan proposed a technique to represent irradiance environment map by Spherical Harmonics. This reduces both the storage and bandwidth costs.
DirectX SDK provides functions for projecting a cube map into spherical harmonic coefficients as well as other SH operation functions. SH is a kind of frequency space transformation likes Fourier transformation, but on spherical space. Ramamoorthi found 3rd order SH effectively represents the irradiance distribution function. 3rd order SH only needs 9 floating point coefficients per channel, i.e. R, G, B.
Reference
- Ravi Ramamoorthi and Pat Hanrahan. An Efficient Representation for Irradiance Environment Maps. SIGGRAPH 2001.
- Robin Green. Spherical Harmonic Lighting: The Gritty Details. GDC 2003.
- PRT Demo. DirectX 9.0c SDK.
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