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In this paper, we introduce Harmonics Virtual Lights (HVL), to model indirectlight sources for interactive global illumination of dynamic 3D scenes. VirtualPoint Lights (VPL) are an efficient approach to define indirect light sourcesand to evaluate the resulting indirect lighting. Nonetheless, VPL suffer fromdisturbing artifacts, especially with high frequency materials. VirtualSpherical Lights (VSL) avoid these artifacts by considering spheres instead ofpoints but estimates the lighting integral using Monte Carlo which results tonoise in the final image. We define HVL as an extension of VSL in a SphericalHarmonics (SH) framework, defining a closed form of the lighting integralevaluation. We propose an efficient SH projection of spherical lightscontribution faster than existing methods. Computing the outgoing luminancerequires $\mathcal{O}(n)$ operations when using materials with circularsymmetric lobes, and $\mathcal{O}(n^2)$ operations for the general case, where$n$ is the number of SH bands. HVL can be used with either parametric ormeasured BRDF without extra cost and offers control over rendering time andimage quality, by either decreasing or increasing the band limit used for SHprojection. Our approach is particularly well designed to rendermedium-frequency one-bounce global illumination with arbitrary BRDF ininteractive time.

Harmonics Virtual Lights : fast projection of luminance field on spherical harmonics for efficient rendering