Stratified Sampling of Projected Spherical Caps

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dc.contributor.authorUreña, Carlosen_US
dc.contributor.authorGeorgiev, Iliyanen_US
dc.contributor.editorJakob, Wenzel and Hachisuka, Toshiyaen_US
dc.date.accessioned2018-07-01T07:22:27Z
dc.date.available2018-07-01T07:22:27Z
dc.date.issued2018
dc.description.abstractWe present a method for uniformly sampling points inside the projection of a spherical cap onto a plane through the sphere's center. To achieve this, we devise two novel area-preserving mappings from the unit square to this projection, which is often an ellipse but generally has a more complex shape. Our maps allow for low-variance rendering of direct illumination from finite and infinite (e.g. sun-like) spherical light sources by sampling their projected solid angle in a stratified manner. We discuss the practical implementation of our maps and show significant quality improvement over traditional uniform spherical cap sampling in a production renderer.en_US
dc.description.number4
dc.description.sectionheadersSampling
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume37
dc.identifier.doi10.1111/cgf.13471
dc.identifier.issn1467-8659
dc.identifier.pages13-20
dc.identifier.urihttps://doi.org/10.1111/cgf.13471
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/cgf13471
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectComputing methodologies
dc.subjectRendering
dc.subjectRay tracing
dc.subjectVisibility
dc.titleStratified Sampling of Projected Spherical Capsen_US
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