Physically correct direct lighting for distribution ray tracing
Graphics Gems III
The direct lighting computation in global illumination methods
The direct lighting computation in global illumination methods
Stratified sampling of spherical triangles
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Monte Carlo techniques for direct lighting calculations
ACM Transactions on Graphics (TOG)
Robust monte carlo methods for light transport simulation
Robust monte carlo methods for light transport simulation
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We present an area-preserving parametrization for spherical rectangles which is an analytical function with domain in the unit rectangle [0, 1] 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] 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.