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- research-articleJuly 2022
Regression-based Monte Carlo integration
ACM Transactions on Graphics (TOG), Volume 41, Issue 4Article No.: 79, Pages 1–14https://doi.org/10.1145/3528223.3530095Monte Carlo integration is typically interpreted as an estimator of the expected value using stochastic samples. There exists an alternative interpretation in calculus where Monte Carlo integration can be seen as estimating a constant function---from the ...
- research-articleNovember 2017
Gradient-domain path reusing
ACM Transactions on Graphics (TOG), Volume 36, Issue 6Article No.: 229, Pages 1–9https://doi.org/10.1145/3130800.3130886Monte-Carlo rendering algorithms have traditionally a high computational cost, because they rely on tracing up to billions of light paths through a scene to physically simulate light transport. Traditional path reusing amortizes the cost of path ...
- research-articleJuly 2017
Charted metropolis light transport
ACM Transactions on Graphics (TOG), Volume 36, Issue 4Article No.: 75, Pages 1–14https://doi.org/10.1145/3072959.3073677In this manuscript, inspired by a simpler reformulation of primary sample space Metropolis light transport, we derive a novel family of general Markov chain Monte Carlo algorithms called charted Metropolis-Hastings, that introduces the notion of ...
- research-articleJuly 2017
A Spatial Target Function for Metropolis Photon Tracing
ACM Transactions on Graphics (TOG), Volume 36, Issue 4Article No.: 75a, Page 1https://doi.org/10.1145/3072959.2963097The human visual system is sensitive to relative differences in luminance, but light transport simulation algorithms based on Metropolis sampling often result in a highly nonuniform relative error distribution over the rendered image. Although this ...
- research-articleNovember 2016
A Spatial Target Function for Metropolis Photon Tracing
ACM Transactions on Graphics (TOG), Volume 36, Issue 1Article No.: 4, Pages 1–13https://doi.org/10.1145/2963097The human visual system is sensitive to relative differences in luminance, but light transport simulation algorithms based on Metropolis sampling often result in a highly nonuniform relative error distribution over the rendered image. Although this ...
- research-articleDecember 2016
Robust light transport simulation via metropolised bidirectional estimators
ACM Transactions on Graphics (TOG), Volume 35, Issue 6Article No.: 245, Pages 1–12https://doi.org/10.1145/2980179.2982411Efficiently simulating light transport in various scenes with a single algorithm is a difficult and important problem in computer graphics. Two major issues have been shown to hinder the efficiency of the existing solutions: light transport due to ...
- research-articleJuly 2014
On-line learning of parametric mixture models for light transport simulation
ACM Transactions on Graphics (TOG), Volume 33, Issue 4Article No.: 101, Pages 1–11https://doi.org/10.1145/2601097.2601203Monte Carlo techniques for light transport simulation rely on importance sampling when constructing light transport paths. Previous work has shown that suitable sampling distributions can be recovered from particles distributed in the scene prior to ...
- research-articleJuly 2014
A constructive theory of sampling for image synthesis using reproducing Kernel bases
ACM Transactions on Graphics (TOG), Volume 33, Issue 4Article No.: 55, Pages 1–14https://doi.org/10.1145/2601097.2601149Sampling a scene by tracing rays and reconstructing an image from such pointwise samples is fundamental to computer graphics. To improve the efficacy of these computations, we propose an alternative theory of sampling. In contrast to traditional ...