Print Email Facebook Twitter Geometric Sample Reweighting for Monte Carlo Integration Title Geometric Sample Reweighting for Monte Carlo Integration Author Guo, Jerry Jinfeng (TU Delft Computer Graphics and Visualisation) Eisemann, E. (TU Delft Computer Graphics and Visualisation) Date 2021 Abstract Numerical integration is fundamental in multiple Monte Carlo rendering problems. We present a sample reweighting scheme, including underlying theory, and analysis of numerical performance for the integration of an unknown one-dimensional function. Our method is simple to implement and builds upon the insight to link the weights to a function reconstruction process during integration. We provide proof that our solution is unbiased in one-dimensional cases and consistent in multi-dimensional cases. We illustrate its effectiveness in several use cases. Subject CCS ConceptsMonte Carlo IntegrationRenderingSample ReweightingSampling and Reconstruction• Computing methodologies → Ray tracing To reference this document use: http://resolver.tudelft.nl/uuid:9c323b02-8b8e-46c1-9444-432b4a4dc56a DOI https://doi.org/10.1111/cgf.14405 Embargo date 2021-12-13 ISSN 0167-7055 Source Computer Graphics Forum (online), 40 (7), 109-119 Bibliographical note Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public. Part of collection Institutional Repository Document type journal article Rights © 2021 Jerry Jinfeng Guo, E. Eisemann Files PDF cgf.14405.pdf 24.6 MB Close viewer /islandora/object/uuid:9c323b02-8b8e-46c1-9444-432b4a4dc56a/datastream/OBJ/view