Thomas Auzinger, Michael Guthe, Stefan Jeschke
Analytic Anti-Aliasing of Linear Functions on Polytopes
Computer Graphics Forum (Proceedings of EUROGRAPHICS 2012), 31(2):335-344, May 2012. [Paper]
@article{Auzinger_2012_AAA, title = "Analytic Anti-Aliasing of Linear Functions on Polytopes", author = "Thomas Auzinger and Michael Guthe and Stefan Jeschke", year = "2012", 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.", month = may, journal = "Computer Graphics Forum (Proceedings of EUROGRAPHICS 2012)", number = "2", volume = "31", pages = "335--344", keywords = "Polytope, Filter Design, Analytic Anti-Aliasing, Sampling, Integral Formula, Spherically Symmetric Filter, CUDA, Closed Form Solution, 2D 3D", URL = "https://www.cg.tuwien.ac.at/research/publications/2012/Auzinger_2012_AAA/", }
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