Pokročilé metody Monte Carlo v syntéze obrazu

Vévoda, Petr

Monte Carlo (MC) integration is an essential tool in many fields of science. In image synthesis, it has enabled photorealistic rendering results via physically based light trans- port simulation. However, an inherent problem of MC integration is variance causing noise in rendered images. This thesis presents three methods, each taking a different approach to variance reduction in rendering. The first approach focuses on improving the sampling technique. An adaptive solution is proposed for unbiased direct illumination sampling, employing Bayesian regression and a novel statistical model of direct illumination to achieve robustness. This method was integrated into a production renderer, demonstrating both its theoretical soundness and practical utility. The second approach explores the combination of multiple sampling techniques via multiple importance sampling (MIS). Optimal weighting functions are derived, proving to minimize the variance of MIS estimators. The new weights outperform all common heuristics and provide novel design considerations for selecting appropriate sampling tech- niques in integration problems. Finally, the third approach involves pre-computation to handle challenging scenarios effectively. Pre-computed reference images of a clear sky are used to create a high- quality fitted model,...

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