Product Importance Sampling for Light Transport Path Guiding

dc.contributor.authorHerholz, Sebastianen_US
dc.contributor.authorElek, Oskaren_US
dc.contributor.authorVorba, Jiříen_US
dc.contributor.authorLensch, Hendriken_US
dc.contributor.authorKřivánek, Jaroslaven_US
dc.contributor.editorElmar Eisemann and Eugene Fiumeen_US
dc.date.accessioned2016-06-17T14:09:34Z
dc.date.available2016-06-17T14:09:34Z
dc.date.issued2016en_US
dc.description.abstractThe efficiency of Monte Carlo algorithms for light transport simulation is directly related to their ability to importance-sample the product of the illumination and reflectance in the rendering equation. Since the optimal sampling strategy would require knowledge about the transport solution itself, importance sampling most often follows only one of the known factors - BRDF or an approximation of the incident illumination. To address this issue, we propose to represent the illumination and the reflectance factors by the Gaussian mixture model (GMM), which we fit by using a combination of weighted expectation maximization and non-linear optimization methods. The GMM representation then allows us to obtain the resulting product distribution for importance sampling on-the-fly at each scene point. For its efficient evaluation and sampling we preform an up-front adaptive decimation of both factor mixtures. In comparison to state-of-the-art sampling methods, we show that our product importance sampling can lead to significantly better convergence in scenes with complex illumination and reflectance.en_US
dc.description.number4en_US
dc.description.sectionheadersLight Transport - Part 1en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume35en_US
dc.identifier.doi10.1111/cgf.12950en_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages067-077en_US
dc.identifier.urihttps://doi.org/10.1111/cgf.12950en_US
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectI.3.7 [Computer Graphics]en_US
dc.subjectThree Dimensional Graphics and Realismen_US
dc.subjecten_US
dc.subjecten_US
dc.subjectI.3.3 [Computer Graphics]en_US
dc.subjectPicture/Image Generationen_US
dc.titleProduct Importance Sampling for Light Transport Path Guidingen_US
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