Area-Preserving Parameterizations for Spherical Ellipses

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dc.contributor.authorGuillén, Ibónen_US
dc.contributor.authorUreña, Carlosen_US
dc.contributor.authorKing, Alanen_US
dc.contributor.authorFajardo, Marcosen_US
dc.contributor.authorGeorgiev, Iliyanen_US
dc.contributor.authorLópez-Moreno, Jorgeen_US
dc.contributor.authorJarabo, Adriánen_US
dc.contributor.editorZwicker, Matthias and Sander, Pedroen_US
dc.date.accessioned2017-06-19T06:51:47Z
dc.date.available2017-06-19T06:51:47Z
dc.date.issued2017
dc.description.abstractWe present new methods for uniformly sampling the solid angle subtended by a disk. To achieve this, we devise two novel area-preserving mappings from the unit square [0;1]2 to a spherical ellipse (i.e. the projection of the disk onto the unit sphere). These mappings allow for low-variance stratified sampling of direct illumination from disk-shaped light sources. We discuss how to efficiently incorporate our methods into a production renderer and demonstrate the quality of our maps, showing significantly lower variance than previous work.en_US
dc.description.number4
dc.description.sectionheadersGeometric Techniques
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume36
dc.identifier.doi10.1111/cgf.13234
dc.identifier.issn1467-8659
dc.identifier.pages179-187
dc.identifier.urihttps://doi.org/10.1111/cgf.13234
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/cgf13234
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectComputing methodologies
dc.subject
dc.subject> Rendering
dc.subjectRay tracing
dc.subjectVisibility
dc.titleArea-Preserving Parameterizations for Spherical Ellipsesen_US
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