000130082 001__ 130082
000130082 005__ 20240122171020.0
000130082 0247_ $$2doi$$a10.1145/3450627
000130082 0248_ $$2sideral$$a127194
000130082 037__ $$aART-2021-127194
000130082 041__ $$aeng
000130082 100__ $$aCrespo, M.
000130082 245__ $$aPrimary-space Adaptive Control Variates Using Piecewise-polynomial Approximations
000130082 260__ $$c2021
000130082 5060_ $$aAccess copy available to the general public$$fUnrestricted
000130082 5203_ $$aWe present an unbiased numerical integration algorithm that handles both low-frequency regions and high-frequency details of multidimensional integrals. It combines quadrature and Monte Carlo integration by using a quadrature-based approximation as a control variate of the signal. We adaptively build the control variate constructed as a piecewise polynomial, which can be analytically integrated, and accurately reconstructs the low-frequency regions of the integrand. We then recover the high-frequency details missed by the control variate by using Monte Carlo integration of the residual. Our work leverages importance sampling techniques by working in primary space, allowing the combination of multiple mappings; this enables multiple importance sampling in quadrature-based integration. Our algorithm is generic and can be applied to any complex multidimensional integral. We demonstrate its effectiveness with four applications with low dimensionality: transmittance estimation in heterogeneous participating media, low-order scattering in homogeneous media, direct illumination computation, and rendering of distribution effects. Finally, we show how our technique is extensible to integrands of higher dimensionality by computing the control variate on Monte Carlo estimates of the high-dimensional signal, and accounting for such additional dimensionality on the residual as well. In all cases, we show accurate results and faster convergence compared to previous approaches.
000130082 536__ $$9info:eu-repo/grantAgreement/EC/H2020/682080/EU/Intuitive editing of visual appearance from real-world datasets/CHAMELEON$$9This project has received funding from the European Union’s Horizon 2020 research and innovation program under grant agreement No H2020 682080-CHAMELEON$$9info:eu-repo/grantAgreement/ES/MINECO/PID2019-105004GB-I00$$9info:eu-repo/grantAgreement/ES/MINECO/TIN2016-78753-P
000130082 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000130082 590__ $$a7.403$$b2021
000130082 591__ $$aCOMPUTER SCIENCE, SOFTWARE ENGINEERING$$b9 / 110 = 0.082$$c2021$$dQ1$$eT1
000130082 592__ $$a7.148$$b2021
000130082 593__ $$aComputer Graphics and Computer-Aided Design$$c2021$$dQ1
000130082 594__ $$a14.2$$b2021
000130082 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000130082 700__ $$0(orcid)0000-0001-9000-0466$$aJarabo, A.$$uUniversidad de Zaragoza
000130082 700__ $$0(orcid)0000-0002-8160-7159$$aMuñoz, A.$$uUniversidad de Zaragoza
000130082 7102_ $$15007$$2570$$aUniversidad de Zaragoza$$bDpto. Informát.Ingenie.Sistms.$$cÁrea Lenguajes y Sistemas Inf.
000130082 773__ $$g40, 3 (2021), 25 [15 pp]$$pACM trans. graph.$$tACM TRANSACTIONS ON GRAPHICS$$x0730-0301
000130082 8564_ $$s7217379$$uhttps://zaguan.unizar.es/record/130082/files/texto_completo.pdf$$yPostprint
000130082 8564_ $$s1805125$$uhttps://zaguan.unizar.es/record/130082/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000130082 909CO $$ooai:zaguan.unizar.es:130082$$particulos$$pdriver
000130082 951__ $$a2024-01-22-15:26:25
000130082 980__ $$aARTICLE