Zero-variance Transmittance Estimation
| dc.contributor.author | d'Eon, Eugene | en_US |
| dc.contributor.author | Novák, Jan | en_US |
| dc.contributor.editor | Bousseau, Adrien and McGuire, Morgan | en_US |
| dc.date.accessioned | 2021-07-12T12:12:50Z | |
| dc.date.available | 2021-07-12T12:12:50Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | We 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. | en_US |
| dc.description.sectionheaders | Integration | |
| dc.description.seriesinformation | Eurographics Symposium on Rendering - DL-only Track | |
| dc.identifier.doi | 10.2312/sr.20211286 | |
| dc.identifier.isbn | 978-3-03868-157-1 | |
| dc.identifier.issn | 1727-3463 | |
| dc.identifier.pages | 15-20 | |
| dc.identifier.uri | https://doi.org/10.2312/sr.20211286 | |
| dc.identifier.uri | https://diglib.eg.org:443/handle/10.2312/sr20211286 | |
| dc.publisher | The Eurographics Association | en_US |
| dc.subject | Computing methodologies --> Reflectance modeling | |
| dc.title | Zero-variance Transmittance Estimation | en_US |
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