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Incremental and hierarchical Hilbert order edge equation polygon rasterizatione
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Source SIGGRAPH/EUROGRAPHICS Conference On Graphics Hardware archive
Proceedings of the ACM SIGGRAPH/EUROGRAPHICS workshop on Graphics hardware table of contents
Los Angeles, California, United States
Pages: 65 - 72  
Year of Publication: 2001
ISBN:1-58113-407-X
Authors
Michael D. McCool  Computer Graphics Lab, Department of Computer Science, University of Waterloo
Chris Wales  Computer Graphics Lab, Department of Computer Science, University of Waterloo
Kevin Moule  Computer Graphics Lab, Department of Computer Science, University of Waterloo
Sponsor
SIGGRAPH: ACM Special Interest Group on Computer Graphics and Interactive Techniques
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 15,   Downloads (12 Months): 100,   Citation Count: 11
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ABSTRACT

A rasterization algorithm must efficiently generate pixel fragments from geometric descriptions of primitives. In order to accomplish per-pixel shading, shading parameters must also be interpolated across the primitive in a perspective-correct manner. If some of these parameters are to be interpreted in later stages of the pipeline directly or indirectly as texture coordinates, then translating spatial and parametric coherence into temporal coherence will improve texture cache performance. Finally, if framebuffer access is also organized around cached blocks, then organizing rasterization so fragments are generated in block-sequential order will maximize framebuffer cache performance. Hilbert-order rasterization accomplishes these goals, and also permits efficient incremental evaluation of edge and interpolation equations.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
T. Bially. Space-Filling Curves: Their Generation and Their Application to Bandwidth Reduction. IEEE Transactions on Information Theory, 15:658-664, November 1969.
 
2
Arthur R. Butz. Convergence with Hilbert's Space-Filling Curve. Journal of Computer and System Sciences, 3:128-146, 1969.
 
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Arthur R. Butz. Alternative Algorithm for Hilbert's Space- Filling Curve. IEEE Transactions on Computers, 20:424-426, April 1971.
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Michael D. McCool. SMASH: A Next-Generation API for Programmable Graphics Accelerators. Technical Report CS- 2000-14, Department of Computer Science, University of Waterloo, April 2001. Published as part of the SIGGRAPH 2001 Course Notes.
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I. Page and R. Dettmer. Software to Silicon. IEE Review, 46(5):15-19, September 2000.
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I. J. Schoenberg. On the Peano Curve of Lebesgue. Bull. Am. Math. Soc., 44:519, 1938.
 
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Douglas Voorhies. Space-Filling Curves and a Measure of Coherence. In James Arvo, editor, Graphics Gems, volume II, pages 26-30. Academic Press, 1991.
 
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I. H. Witten and R. M. Neal. Using peano curves for bilevel display of continuous-tone images. IEEE Computer Graphics & Applications, 2:47-52, May 1982.

CITED BY  11

Collaborative Colleagues:
Michael D. McCool: colleagues
Chris Wales: colleagues
Kevin Moule: colleagues