Analytic anti-aliasing of linear functions on polytopes Computer Graphics Forum Thomas Auzinger ; https://orcid.org/0000-0002-1546-3265 Guthe, Michael Stefan Jeschke 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. Wiley-Blackwell 2012 info:eu-repo/semantics/conferenceObject doc-type:ConferenceObject ConferenceObject http://purl.org/coar/resource_type/c_5794 https://research-explorer.ista.ac.at/record/2268 Auzinger T, Guthe M, Jeschke S. Analytic anti-aliasing of linear functions on polytopes. In: Vol 31. Wiley-Blackwell; 2012:335-344. doi:<a href="http://dx.doi.org/10.1111/j.1467-8659.2012.03012.x">http://dx.doi.org/10.1111/j.1467-8659.2012.03012.x</a> info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1111/j.1467-8659.2012.03012.x info:eu-repo/semantics/openAccess