An Area-Preserving Parametrization for Spherical Rectangles
Carlos Ureña, Marcos Fajardo, Alan King
In Computer Graphics Forum, 32(4), 2013.
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.
Article URL: http://dx.doi.org/10.1111/cgf.12151
BibTeX format:
@article{Urena:2013:AAP,
  author = {Carlos Ureña and Marcos Fajardo and Alan King},
  title = {An Area-Preserving Parametrization for Spherical Rectangles},
  journal = {Computer Graphics Forum},
  volume = {32},
  number = {4},
  pages = {59--66},
  year = {2013},
}
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