Analytic Anti-Aliasing of Linear Functions on Polytopes
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Date
2012
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association and John Wiley and Sons Ltd.
Abstract
This paper presents an analytic formulation for anti-aliased sampling of 2D polygons and 3D polyhedra. Our framework allows the exact evaluation of the convolution integral with a linear function defined on the polytopes. The filter is a spherically symmetric polynomial of any order, supporting approximations to refined variants such as the Mitchell-Netravali filter family. This enables high-quality rasterization of triangles and tetrahedra with linearly interpolated vertex values to regular and non-regular grids. A closed form solution of the convolution is presented and an efficient implementation on the GPU using DirectX and CUDA C is described.
Description
@article{10.1111:j.1467-8659.2012.03012.x,
journal = {Computer Graphics Forum},
title = {{Analytic Anti-Aliasing of Linear Functions on Polytopes}},
author = {Auzinger, Thomas and Guthe, Michael and Jeschke, Stefan},
year = {2012},
publisher = {The Eurographics Association and John Wiley and Sons Ltd.},
ISSN = {1467-8659},
DOI = {10.1111/j.1467-8659.2012.03012.x}
}