Analytic anti-aliasing of linear functions on polytopes

T. Auzinger, M. Guthe, S. Jeschke, in:, Wiley-Blackwell, 2012, pp. 335–344.


Conference Paper | Published
Series Title
Computer Graphics Forum
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.
Publishing Year
Date Published
2012-05-13
Acknowledgement
Funding was provided by the FWF grant P20768-N13. We want to thank the reviewers for their insightful and helpful remarks, Hang Si for making available TetGen and Stefan Bruckner for VolumeShop.
Volume
31
Issue
121
Page
335 - 344
Conference
EUROGRAPHICS: European Association for Computer Graphics
IST-REx-ID

Cite this

Auzinger T, Guthe M, Jeschke S. Analytic anti-aliasing of linear functions on polytopes. In: Vol 31. Wiley-Blackwell; 2012:335-344. doi:http://dx.doi.org/10.1111/j.1467-8659.2012.03012.x
Auzinger, T., Guthe, M., & Jeschke, S. (2012). Analytic anti-aliasing of linear functions on polytopes (Vol. 31, pp. 335–344). Presented at the EUROGRAPHICS: European Association for Computer Graphics, Wiley-Blackwell. http://dx.doi.org/10.1111/j.1467-8659.2012.03012.x
Auzinger, Thomas, Michael Guthe, and Stefan Jeschke. “Analytic Anti-Aliasing of Linear Functions on Polytopes,” 31:335–44. Wiley-Blackwell, 2012. http://dx.doi.org/10.1111/j.1467-8659.2012.03012.x.
T. Auzinger, M. Guthe, and S. Jeschke, “Analytic anti-aliasing of linear functions on polytopes,” presented at the EUROGRAPHICS: European Association for Computer Graphics, 2012, vol. 31, no. 121, pp. 335–344.
Auzinger T, Guthe M, Jeschke S. 2012. Analytic anti-aliasing of linear functions on polytopes. EUROGRAPHICS: European Association for Computer Graphics, Computer Graphics Forum, vol. 31. 335–344.
Auzinger, Thomas, et al. Analytic Anti-Aliasing of Linear Functions on Polytopes. Vol. 31, no. 121, Wiley-Blackwell, 2012, pp. 335–44, doi:http://dx.doi.org/10.1111/j.1467-8659.2012.03012.x.

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