Fourier analysis of stochastic sampling strategies for assessing bias and variance in integration
Each pixel in a photorealistic, computer generated picture is calculated by approximately
integrating all the light arriving at the pixel, from the virtual scene. A common strategy to
calculate these high-dimensional integrals is to average the estimates at stochastically
sampled locations. The strategy with which the sampled locations are chosen is of utmost
importance in deciding the quality of the approximation, and hence rendered image.
integrating all the light arriving at the pixel, from the virtual scene. A common strategy to
calculate these high-dimensional integrals is to average the estimates at stochastically
sampled locations. The strategy with which the sampled locations are chosen is of utmost
importance in deciding the quality of the approximation, and hence rendered image.
Abstract
Each pixel in a photorealistic, computer generated picture is calculated by approximately integrating all the light arriving at the pixel, from the virtual scene. A common strategy to calculate these high-dimensional integrals is to average the estimates at stochastically sampled locations. The strategy with which the sampled locations are chosen is of utmost importance in deciding the quality of the approximation, and hence rendered image.
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