7134

Analytic Anti-Aliasing of Linear Functions on Polytopes

Thomas Auzinger, Michael Guthe, Stefan Jeschke
Vienna University of Technology, Austria
Computer Graphics Forum (EUROGRAPHICS 2012), 2012

@article{Auzinger_2012_AAA,

   title={"AnalyticAnti-AliasingofLinearFunctionsonPolytopes"},

   author={"ThomasAuzingerandMichaelGutheandStefanJeschke"},

   year={2012},

   month={may},

   event={"Eurographics2012"},

   journal={"ComputerGraphicsForum(ProceedingsofEUROGRAPHICS2012)"},

   location={"Cagliari},

   keywords={"SphericallySymmetricFilter},

   URL={"http://www.cg.tuwien.ac.at/research/publications/2012/Auzinger_2012_AAA/"}

}

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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.
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