Geometric Sample Reweighting for Monte Carlo Integration
| dc.contributor.author | Guo, Jerry Jinfeng | en_US |
| dc.contributor.author | Eisemann, Elmar | en_US |
| dc.contributor.editor | Zhang, Fang-Lue and Eisemann, Elmar and Singh, Karan | en_US |
| dc.date.accessioned | 2021-10-14T11:11:26Z | |
| dc.date.available | 2021-10-14T11:11:26Z | |
| dc.date.issued | 2021 | |
| dc.description.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. | en_US |
| dc.description.number | 7 | |
| dc.description.sectionheaders | Global Illumination | |
| dc.description.seriesinformation | Computer Graphics Forum | |
| dc.description.volume | 40 | |
| dc.identifier.doi | 10.1111/cgf.14405 | |
| dc.identifier.issn | 1467-8659 | |
| dc.identifier.pages | 109-119 | |
| dc.identifier.uri | https://doi.org/10.1111/cgf.14405 | |
| dc.identifier.uri | https://diglib.eg.org:443/handle/10.1111/cgf14405 | |
| dc.publisher | The Eurographics Association and John Wiley & Sons Ltd. | en_US |
| dc.subject | Computing methodologies | |
| dc.subject | Ray tracing | |
| dc.subject | Keywords | |
| dc.subject | Sampling and Reconstruction | |
| dc.subject | Monte Carlo Integration | |
| dc.subject | Sample Reweighting | |
| dc.subject | Rendering | |
| dc.title | Geometric Sample Reweighting for Monte Carlo Integration | en_US |