Analytic Anti-Aliasing of Linear Functions on Polytopes

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• Publication Type: Journal Paper with Conference Talk
• Date (from): 13.05.2012
• Date (to): 18.05.2012
• Event: Eurographics 2012
• Lecturer: Thomas Auzinger
• Location: Cagliari, Italy
• Keywords: Sampling, 2D 3D, Polytope, CUDA, Filter Design, Integral Formula, Closed Form Solution, Spherically Symmetric Filter, Analytic Anti-Aliasing

@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.",
  pages =      "%pages_from%--%pages_to%",
  month =      may,
  event =      "Eurographics 2012",
  journal =    "Computer Graphics Forum (Proceedings of EUROGRAPHICS 2012)",
  location =   "Cagliari, Italy",
  keywords =   "Sampling, 2D 3D, Polytope, CUDA, Filter Design, Integral
               Formula, Closed Form Solution, Spherically Symmetric Filter,
               Analytic Anti-Aliasing",
  URL =        "http://www.cg.tuwien.ac.at/research/publications/2012/Auzinger_2012_AAA/",
}