Analytic anti-aliasing of linear functions on polytopes Conference Paper


Author(s): Auzinger, Thomas; Guthe, Michael; Jeschke, Stefan
Title: Analytic anti-aliasing of linear functions on polytopes
Title Series: Computer Graphics Forum
Affiliation
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.
Keywords: Polytope, Filter Design, Analytic Anti-Aliasing, Sampling,Integral Formula, Spherically Symmetric Filter, CUDA, Closed Form Solution
Conference Title: EUROGRAPHICS: European Association for Computer Graphics
Volume: 31
Issue 2:1
Conference Dates: May 13-18, 2012
Conference Location: Cagliari, Italy
ISBN: 0167-7055
Publisher: Wiley-Blackwell  
Date Published: 2012-05-13
Start Page: 335
End Page: 344
Sponsor: Funding was provided by the FWF grant P20768-N13.
URL:
DOI: 10.1111/j.1467-8659.2012.03012.x
Notes: We want to thank the reviewers for their insightful and helpful remarks, Hang Si for making available TetGen and Stefan Bruckner for VolumeShop.
Open access: yes (repository)
IST Austria Authors
  1. Stefan Jeschke
    11 Jeschke
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