Controlling and Sampling Visibility Information on the Image Plane
| dc.contributor.author | Lessig, Christian | en_US |
| dc.contributor.editor | Matthias Zwicker and Pedro Sander | en_US |
| dc.date.accessioned | 2017-06-19T06:52:54Z | |
| dc.date.available | 2017-06-19T06:52:54Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | Anti-aliasing on the image plane is a classic problems in computer graphics. While mip-mapping provides an efficient means to pre-filter texture information, no comparable technique exists for visibility. We address visibility-induced aliasing by exploiting that the Fourier transform of a discontinuity decays slowly only in the normal direction. Pre-filtering is thus only necessary in this direction and, after a coordinate transformation, the corresponding one dimensional problem can be solved analytically or tabulated. The resulting pre-filtered signal can be reconstructed exactly from pointwise samples and we derive corresponding sampling theorems that are tailored to the pre-filtering as well as a set of irregular sampling locations. We demonstrate our methodology for the classical Shannon-Nyquist setting but also for shift-invariant spaces where exact reconstruction kernels with significantly faster decay than the sinc-function are available. Our experimental results demonstrate that our pre-filtering is highly effective and that going beyond the Shannon-Nyquist setting reduces aliasing error further. | en_US |
| dc.description.sectionheaders | Rendering is Everywhere | |
| dc.description.seriesinformation | Eurographics Symposium on Rendering - Experimental Ideas & Implementations | |
| dc.identifier.doi | 10.2312/sre.20171189 | |
| dc.identifier.isbn | 978-3-03868-045-1 | |
| dc.identifier.issn | 1727-3463 | |
| dc.identifier.pages | 1-9 | |
| dc.identifier.uri | https://doi.org/10.2312/sre.20171189 | |
| dc.identifier.uri | https://diglib.eg.org:443/handle/10.2312/sre20171189 | |
| dc.publisher | The Eurographics Association | en_US |
| dc.subject | Computing methodologies | |
| dc.subject | ||
| dc.subject | > Visibility | |
| dc.title | Controlling and Sampling Visibility Information on the Image Plane | en_US |