BEGIN:VCALENDAR VERSION:2.0 PRODID:Linklings LLC BEGIN:VTIMEZONE TZID:Asia/Tokyo X-LIC-LOCATION:Asia/Tokyo BEGIN:STANDARD TZOFFSETFROM:+0900 TZOFFSETTO:+0900 TZNAME:JST DTSTART:18871231T000000 END:STANDARD END:VTIMEZONE BEGIN:VEVENT DTSTAMP:20250110T023312Z LOCATION:Hall B5 (2)\, B Block\, Level 5 DTSTART;TZID=Asia/Tokyo:20241205T090000 DTEND;TZID=Asia/Tokyo:20241205T091400 UID:siggraphasia_SIGGRAPH Asia 2024_sess125_papers_319@linklings.com SUMMARY:A Statistical Approach to Monte Carlo Denoising DESCRIPTION:Technical Papers\n\nHiroyuki Sakai and Christian Freude (Techn ical University of Vienna), Thomas Auzinger (Institute of Science and Tech nology Austria), and David Hahn and Michael Wimmer (Technical University o f Vienna)\n\nThe stochastic nature of modern Monte Carlo (MC) rendering me thods inevitably produces noise in rendered images for a practical number of samples per pixel. The problem of denoising these images has been widel y studied, with most recent methods relying on data-driven, pretrained neu ral networks. In contrast, in this paper we propose a statistical approach to the denoising problem, treating each pixel as a random variable and re asoning about its distribution. Considering a pixel of the noisy rendered image, we formulate fast pair-wise statistical tests—based on online estim ators—to decide which of the nearby pixels to exclude from the denoising f ilter. We show that for symmetric pixel weights and normally distributed s amples, the classical Welch t-test is optimal in terms of mean squared err or. We then show how to extend this result to handle non-normal distributi ons, using more recent confidence-interval formulations in combination wit h the Box-Cox transformation. Our results show that our statistical denois ing approach matches the performance of state-of-the-art neural image deno ising without having to resort to any computation-intensive pretraining. F urthermore, our approach easily generalizes to other quantities besides pi xel intensity, which we demonstrate by showing additional applications to Russian roulette path termination and multiple importance sampling.\n\nReg istration Category: Full Access, Full Access Supporter\n\nLanguage Format: English Language\n\nSession Chair: Wenzel Jakob (École Polytechnique Fédé rale de Lausanne) URL:https://asia.siggraph.org/2024/program/?id=papers_319&sess=sess125 END:VEVENT END:VCALENDAR