Auzinger, ThomasGuthe, MichaelJeschke, StefanP. Cignoni and T. Ertl2015-02-282015-02-2820121467-8659https://doi.org/10.1111/j.1467-8659.2012.03012.xThis 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.10.1111/j.1467-8659.2012.03012.x