T. Auzinger, M. Guthe, St Jeschke:
"Analytic Anti-Aliasing of Linear Functions on Polytopes";
Computer Graphics Forum, 31 (2012), 2; S. 335 - 344.

Kurzfassung englisch:
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.

Analytic Anti-Aliasing, Spherically Symmetric Filter, Closed Form Solution, Polytope, Sampling, 2D 3D, CUDA, Integral Formula, Filter Design

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