Stratified Sampling of Projected Spherical Caps |
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| Authors: | Carlos Ureña Iliyan Georgiev |
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| Affiliation: | 1. Universidad de Granada;2. Solid Angle |
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| Abstract: | We present a method for uniformly sampling points inside the projection of a spherical cap onto a plane through the sphere's center. To achieve this, we devise two novel area‐preserving mappings from the unit square to this projection, which is often an ellipse but generally has a more complex shape. Our maps allow for low‐variance rendering of direct illumination from finite and infinite (e.g. sun‐like) spherical light sources by sampling their projected solid angle in a stratified manner. We discuss the practical implementation of our maps and show significant quality improvement over traditional uniform spherical cap sampling in a production renderer. |
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| Keywords: | CCS Concepts • Computing methodologies → Rendering Ray tracing Visibility |
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