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About this paper
Jack Cui, Kehan Xu, Eugene d'Eon, Wojciech Jarosz
The authors convert GPIS field and gradient statistics into local extinction and scattering coefficients, letting a volume renderer estimate appearance without generating or intersecting surfaces. At equal 15-minute budgets, the method reports 23.5–34.8× lower estimator MSE than a realization-based method, measured against each method’s own converged render. Its local-conditioning approximation discards ray history and does not preserve the first-crossing distribution.
Key insights
- The same projected-area factor governs both ray-surface encounter rates and normal-distribution normalization, linking attenuation and scattering consistently.
- Centered conditional gradient statistics recover SGGX, while height-field limits recover classical Beckmann/GGX distributions and Smith masking-shadowing behavior.
- The local-conditioning approximation is most reliable when the mean void-chord length is large relative to the GP correlation length; narrow concavities and dense correlated geometry expose its limitations.
Summary by alphaXiv.
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