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Monte Carlo rendering algorithms are widely used to produce photorealistic computer graphics images. However, these algorithms need to sample a substantial amount of rays per pixel to enable proper global illumination and thus require an…

Computer Vision and Pattern Recognition · Computer Science 2021-06-25 Qiqi Hou , Zhan Li , Carl S Marshall , Selvakumar Panneer , Feng Liu

Nested integration problems arise in various scientific and engineering applications, including Bayesian experimental design, financial risk assessment, and uncertainty quantification. These nested integrals take the form $\int f\left(\int…

Numerical Analysis · Mathematics 2025-06-17 Arved Bartuska , André Gustavo Carlon , Luis Espath , Sebastian Krumscheid , Raúl Tempone

Neural radiance fields (NeRFs) enable novel view synthesis with unprecedented visual quality. However, to render photorealistic images, NeRFs require hundreds of deep multilayer perceptron (MLP) evaluations - for each pixel. This is…

Computer Vision and Pattern Recognition · Computer Science 2023-04-21 Ziyu Wan , Christian Richardt , Aljaž Božič , Chao Li , Vijay Rengarajan , Seonghyeon Nam , Xiaoyu Xiang , Tuotuo Li , Bo Zhu , Rakesh Ranjan , Jing Liao

NeRF synthesizes novel views of a scene with unprecedented quality by fitting a neural radiance field to RGB images. However, NeRF requires querying a deep Multi-Layer Perceptron (MLP) millions of times, leading to slow rendering times,…

Computer Vision and Pattern Recognition · Computer Science 2021-08-03 Christian Reiser , Songyou Peng , Yiyi Liao , Andreas Geiger

A common way to simulate the transport and spread of pollutants in the atmosphere is via stochastic Lagrangian dispersion models. Mathematically, these models describe turbulent transport processes with stochastic differential equations…

Physically-based renderings contain Monte-Carlo noise, with variance that increases as the number of rays per pixel decreases. This noise, while zero-mean for good modern renderers, can have heavy tails (most notably, for scenes containing…

Computer Vision and Pattern Recognition · Computer Science 2024-08-28 Vaibhav Vavilala , Rahul Vasanth , David Forsyth

The rendering procedure used by neural radiance fields (NeRF) samples a scene with a single ray per pixel and may therefore produce renderings that are excessively blurred or aliased when training or testing images observe scene content at…

Computer Vision and Pattern Recognition · Computer Science 2021-08-17 Jonathan T. Barron , Ben Mildenhall , Matthew Tancik , Peter Hedman , Ricardo Martin-Brualla , Pratul P. Srinivasan

In this article, we study the application of Multi-Level Monte Carlo (MLMC) approaches to numerical random homogenization. Our objective is to compute the expectation of some functionals of the homogenized coefficients, or of the…

Numerical Analysis · Mathematics 2013-01-15 Yalchin Efendiev , Cornelia Kronsbein , Frederic Legoll

Direct illumination with many lights is an inherent component of physically-based rendering, remaining challenging, especially in real-time scenarios. We propose an online-trained neural cache that stores visibility between lights and 3D…

Graphics · Computer Science 2025-09-01 Jakub Bokšanský , Daniel Meister

Recent advances in Neural Radiance Fields (NeRF) have demonstrated significant potential for representing 3D scene appearances as implicit neural networks, enabling the synthesis of high-fidelity novel views. However, the lengthy training…

Computer Vision and Pattern Recognition · Computer Science 2023-10-04 Tong Wang , Shuichi Kurabayashi

We present a complete system for real-time rendering of scenes with complex appearance previously reserved for offline use. This is achieved with a combination of algorithmic and system level innovations. Our appearance model utilizes…

Current differentiable renderers provide light transport gradients with respect to arbitrary scene parameters. However, the mere existence of these gradients does not guarantee useful update steps in an optimization. Instead, inverse…

Computer Vision and Pattern Recognition · Computer Science 2023-03-29 Michael Fischer , Tobias Ritschel

Monte Carlo rendering algorithms often utilize correlations between pixels to improve efficiency and enhance image quality. For real-time applications in particular, repeated reservoir resampling offers a powerful framework to reuse samples…

Graphics · Computer Science 2022-11-02 Rohan Sawhney , Daqi Lin , Markus Kettunen , Benedikt Bitterli , Ravi Ramamoorthi , Chris Wyman , Matt Pharr

We design and implement a novel algorithm for computing a multilevel Monte Carlo (MLMC) estimator of the cumulative distribution function of a quantity of interest in problems with random input parameters or initial conditions. Our approach…

Numerical Analysis · Mathematics 2020-08-26 Søren Taverniers , Daniel M. Tartakovsky

We introduce a revised derivation of the bitwise Markov Chain Monte Carlo (MCMC) multiple-input multiple-output (MIMO) detector. The new approach resolves the previously reported high SNR stalling problem of MCMC without the need for…

Information Theory · Computer Science 2017-07-13 Jonathan C. Hedstrom , Chung Him , Yuen , Rong-Rong Chen , Behrouz Farhang-Boroujeny

Monte Carlo simulations are commonly used to calculate photon reflectance, absorptance, and transmittance of multi-layer scattering and absorbing media, but they can quickly become prohibitively expensive as the number of layers increases.…

Optics · Physics 2025-09-30 Daniel Carne , Ziqi Guo , Xiulin Ruan

Neural radiance fields (NeRFs) have shown impressive results for novel view synthesis. However, they depend on the repetitive use of a single-input single-output multilayer perceptron (SISO MLP) that maps 3D coordinates and view direction…

Computer Vision and Pattern Recognition · Computer Science 2023-10-04 Takuhiro Kaneko

We present Neural Microfacet Fields, a method for recovering materials, geometry, and environment illumination from images of a scene. Our method uses a microfacet reflectance model within a volumetric setting by treating each sample along…

Computer Vision and Pattern Recognition · Computer Science 2023-10-18 Alexander Mai , Dor Verbin , Falko Kuester , Sara Fridovich-Keil

We study the multi-dimensional radiative transfer phenomena using the ISMC scheme, in both gray and multi-frequency problems. Implicit Monte-Carlo (IMC) schemes have been in use for five decades. The basic algorithm yields teleportation…

Computational Physics · Physics 2022-01-06 Elad Steinberg , Shay I. Heizler

We propose IBL-NeRF, which decomposes the neural radiance fields (NeRF) of large-scale indoor scenes into intrinsic components. Recent approaches further decompose the baked radiance of the implicit volume into intrinsic components such…

Computer Vision and Pattern Recognition · Computer Science 2023-09-13 Changwoon Choi , Juhyeon Kim , Young Min Kim