Spherical Fibonacci Point Sets for Illumination Integrals

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dc.contributor.authorMarques, R.en_US
dc.contributor.authorBouville, C.en_US
dc.contributor.authorRibardière, M.en_US
dc.contributor.authorSantos, L. P.en_US
dc.contributor.authorBouatouch, K.en_US
dc.contributor.editorHolly Rushmeier and Oliver Deussenen_US
dc.date.accessioned2015-02-28T16:16:24Z
dc.date.available2015-02-28T16:16:24Z
dc.date.issued2013en_US
dc.description.abstractQuasi-Monte Carlo (QMC) methods exhibit a faster convergence rate than that of classic Monte Carlo methods. This feature has made QMC prevalent in image synthesis, where it is frequently used for approximating the value of spherical integrals (e.g. illumination integral). The common approach for generating QMC sampling patterns for spherical integration is to resort to unit square low‐discrepancy sequences and map them to the hemisphere. However such an approach is suboptimal as these sequences do not account for the spherical topology and their discrepancy properties on the unit square are impaired by the spherical projection. In this paper we present a strategy for producing high‐quality QMC sampling patterns for spherical integration by resorting to spherical Fibonacci point sets. We show that these patterns, when applied to illumination integrals, are very simple to generate and consistently outperform existing approaches, both in terms of root mean square error (RMSE) and image quality. Furthermore, only a single pattern is required to produce an image, thanks to a scrambling scheme performed directly in the spherical domain.Quasi‐Monte Carlo (QMC) methods exhibit a faster convergence rate than that of classic Monte Carlo methods. This feature has made QMC prevalent in image synthesis, where it is frequently used for approximating the value of spherical integrals (e.g. illumination integral). The common approach for generating QMC sampling patterns for spherical integration is to resort to unit square low‐discrepancy sequences and map them to the hemisphere. However such an approach is suboptimal as these sequences do not account for the spherical topology and their discrepancy properties on the unit square are impaired by the spherical projection.en_US
dc.description.number8
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume32
dc.identifier.issn1467-8659en_US
dc.identifier.urihttps://doi.org/10.1111/cgf.12190en_US
dc.publisherThe Eurographics Association and Blackwell Publishing Ltd.en_US
dc.subjectMonte Carlo techniquesen_US
dc.subjectspherical integrationen_US
dc.subjectglobal illuminationen_US
dc.subjectrenderingen_US
dc.subjectray tracingen_US
dc.subjectI.3.7 [Computer Graphics]en_US
dc.subjectThree‐Dimensional Graphics and Realism‐Raytracingen_US
dc.titleSpherical Fibonacci Point Sets for Illumination Integralsen_US
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