Rendering - Experimental Ideas & Implementations
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Browsing Rendering - Experimental Ideas & Implementations by Author "d'Eon, Eugene"
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Item Zero-variance Transmittance Estimation(The Eurographics Association, 2021) d'Eon, Eugene; Novák, Jan; Bousseau, Adrien and McGuire, MorganWe apply zero-variance theory to the Volterra integral formulation of volumetric transmittance.We solve for the guided sampling decisions in this framework that produce zero-variance ratio tracking and next-flight ratio tracking estimators. In both cases, a zero-variance estimate arises by colliding only with the null particles along the interval. For ratio tracking, this is equivalent to residual ratio tracking with a perfect control. The next-flight zero-variance estimator is of the collision type and can only produce zero-variance estimates if the random walk never terminates. In drawing these new connections, we enrich the theory of Monte Carlo transmittance estimation and provide a new rigorous path-stretching interpretation of residual ratio tracking.