An Area-Preserving Parametrization for Spherical Rectangles

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Date
2013
Authors
UreƱa, Carlos
Fajardo, Marcos
King, Alan
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association and Blackwell Publishing Ltd.
Abstract
We 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.
Description

        
@article{
:10.1111/cgf.12151
,
journal = {Computer Graphics Forum},
title = {{
An Area-Preserving Parametrization for Spherical Rectangles
}},
author = {
UreƱa, Carlos
 and 
Fajardo, Marcos
 and 
King, Alan
},
year = {
2013
},
publisher = {
The Eurographics Association and Blackwell Publishing Ltd.
},
ISSN = {
1467-8659
},
DOI = {
/10.1111/cgf.12151
}
}
Citation
URI
https://doi.org/10.1111/cgf.12151
Collections
32-Issue 4
EGSR13: 24th Eurographics Symposium on Rendering