Markov Chain Mixture Models for Real-Time Direct Illumination

dc.contributor.authorDittebrandt, Addisen_US
dc.contributor.authorSchüßler, Vincenten_US
dc.contributor.authorHanika, Johannesen_US
dc.contributor.authorHerholz, Sebastianen_US
dc.contributor.authorDachsbacher, Carstenen_US
dc.contributor.editorRitschel, Tobiasen_US
dc.contributor.editorWeidlich, Andreaen_US
dc.date.accessioned2023-06-27T07:02:53Z
dc.date.available2023-06-27T07:02:53Z
dc.date.issued2023
dc.description.abstractWe present a novel technique to efficiently render complex direct illumination in real-time. It is based on a spatio-temporal randomized mixture model of von Mises-Fisher (vMF) distributions in screen space. For every pixel we determine the vMF distribution to sample from using a Markov chain process which is targeted to capture important features of the integrand. By this we avoid the storage overhead of finite-component deterministic mixture models, for which, in addition, determining the optimal component count is challenging. We use stochastic multiple importance sampling (SMIS) to be independent of the equilibrium distribution of our Markov chain process, since it cancels out in the estimator. Further, we use the same sample to advance the Markov chain and to construct the SMIS estimator and local Markov chain state permutations avoid the resulting bias due to dependent sampling. As a consequence we require one ray per sample and pixel only. We evaluate our technique using implementations in a research renderer as well as a classic game engine with highly dynamic content. Our results show that it is efficient and quickly readapts to dynamic conditions. We compare to spatio-temporal resampling (ReSTIR), which can suffer from correlation artifacts due to its non-adapting candidate distributions that can deviate strongly from the integrand.While we focus on direct illumination, our approach is more widely applicable and we exemplarily show the rendering of caustics.en_US
dc.description.number4
dc.description.sectionheadersRay Tracing
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume42
dc.identifier.doi10.1111/cgf.14881
dc.identifier.issn1467-8659
dc.identifier.pages15 pages
dc.identifier.urihttps://doi.org/10.1111/cgf.14881
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/cgf14881
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectCCS Concepts: Computing methodologies -> Ray tracing
dc.subjectComputing methodologies
dc.subjectRay tracing
dc.titleMarkov Chain Mixture Models for Real-Time Direct Illuminationen_US
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