An Area-Preserving Parametrization for Spherical Rectangles

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dc.contributor.authorUreƱa, Carlosen_US
dc.contributor.authorFajardo, Marcosen_US
dc.contributor.authorKing, Alanen_US
dc.contributor.editorNicolas Holzschuch and Szymon Rusinkiewiczen_US
dc.date.accessioned2015-02-28T15:36:56Z
dc.date.available2015-02-28T15:36:56Z
dc.date.issued2013en_US
dc.description.abstractWe present an area-preserving parametrization for spherical rectangles which is an analytical function with domain in the unit rectangle [0;1]2 and range in a region included in the unit-radius sphere. The parametrization preserves areas up to a constant factor and is thus very useful in the context of rendering as it allows to map random sample point sets in [0;1]2 onto the spherical rectangle. This allows for easily incorporating stratified, quasi-Monte Carlo or other sampling strategies in algorithms that compute scattering from planar rectangular emitters.en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.identifier.doi10.1111/cgf.12151en_US
dc.identifier.issn1467-8659en_US
dc.identifier.urihttps://doi.org/10.1111/cgf.12151en_US
dc.publisherThe Eurographics Association and Blackwell Publishing Ltd.en_US
dc.subjectI.3.7 [Computer Graphics]en_US
dc.subjectThree Dimensional Graphics and Realismen_US
dc.subjectColoren_US
dc.subjectshadingen_US
dc.subjectshadowingen_US
dc.subjectand textureen_US
dc.titleAn Area-Preserving Parametrization for Spherical Rectanglesen_US
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32-Issue 4
EGSR13: 24th Eurographics Symposium on Rendering