Controlling and Sampling Visibility Information on the Image Plane
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Date
2017
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association
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.
Description
@inproceedings{10.2312:sre.20171189,
booktitle = {Eurographics Symposium on Rendering - Experimental Ideas & Implementations},
editor = {Matthias Zwicker and Pedro Sander},
title = {{Controlling and Sampling Visibility Information on the Image Plane}},
author = {Lessig, Christian},
year = {2017},
publisher = {The Eurographics Association},
ISSN = {1727-3463},
ISBN = {978-3-03868-045-1},
DOI = {10.2312/sre.20171189}
}