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Issue No.03 - May/June (1989 vol.9)
pp: 20-28
ABSTRACT
<p>A description is given of a set of algorithms for efficiently rendering an object defined by constructive solid geometry (CSG) directly onto a frame buffer without converting first to a boundary representation. This method requires only that the frame buffer contain sufficient memory to hold two color values, two depth values, and three one-bit flags. The algorithm first converts the CSG tree to a normalized form that is analogous to the sum-of-products form for Boolean switching functions. The following are developed: dynamic interleaving of Boolean tree normalization with bounding-box pruning, allowing efficient rendering for most CSG objects; a method for extending the technique to nonconvex primitives; and implementation of these ideas in an interactive CSG design system on the Pixel-planes 4 solid modeling system. In the design system the designer directly manipulates the CSG structure while continuously viewing the color rendering of the object being designed.</p>
CITATION
Jack Goldfeather, Steven Monar, Greg Turk, Henry Fuchs, "Near Real-Time CSG Rendering Using Tree Normalization and Geometric Pruning", IEEE Computer Graphics and Applications, vol.9, no. 3, pp. 20-28, May/June 1989, doi:10.1109/38.28107
REFERENCES
1. J. Goldfeather, J.P.M. Hultquist, and H. Fuchs, "Fast Constructive Solid Geometry Display in the Pixel-Powers Graphics System,"Computer Graphics(Proc. SIGGRAPH), Vol. 20, No. 4, Aug. 1986, pp. 107-116.
2. W. Thibault and B. Naylor, "Set Operations on Polyhedra Using Binary Space Partitioning Trees,"Computer Graphics (Proc. Siggraph), Vol. 21, No. 4, 1987, pp. 153-161.
3. P.R. Atherton, "A Scan-Line Hidden Surface Removal Procedure for Constructive Solid Geometry,"Computer Graphics(Proc. SIGGRAPH 83), July 1983, pp. 73-82.
4. G. Kedem and J.L. Ellis, "Computer Structures for Curve-Solid Classification in Geometric Modeling," Tech. Report TR84-37, Microelectronic Center of North Carolina, Research Triangle Park, N.C., 1984.
5. J.R. Rossignac and A.A.G. Requicha, "Depth-Buffering Display Techniques for Constructive Solid Geometry,"CG&A, Vol. 6, No. 9, Sept. 1986, pp. 29-39.
6. F.W. Jansen, "A Pixel-Parallel Hidden Surface Algorithm for Constructive Solid Geometry,"Proc. Eurographics 86, Elseviers Science Publ., New York, 1986, pp. 29-40.
7. H. Fuchs et al., "Fast Spheres, Shadows, Textures, Transparencies and Image Enhancement in Pixel-Planes,"Computer Graphics(Proc. SIGGRAPH), Vol. 19, No. 3, July 1985, pp. 111-120.
8. N. Okino, Y. Kakazu, and M. Morimoto, "Extended Depth-Buffer Algorithms for Hidden-Surface Visualization,"CG&A, Vol. 4, No. 5, May 1984, pp. 79-88.
9. J. Goldfeather and S. Molnar, "CSG Tree Restructuring," tech. report, Computer Science Dept., Univ. of North Carolina at Chapel Hill, 1989.
10. R.B. Tilove, "Set Membership Classification: A Unified Approach to Geometric Intersection Problems,"IEEE Trans. on Computers, C-29, No. 10, Piscataway, NJ, Oct. 1980, pp. 874-883.
11. F.W. Jansen and R.J. Sutherland, "Display of Solid Models with a Multi-Processor System,"Proc. Eurographics 87, Elsevier Science Publ., 1987, pp. 377-387.
12. K. Bouatouch et al., "A New Algorithm of Space Tracing Using a CSG Model,"Proc. Eurographics 87, Elsevier Science Publ., New York, 1987, pp. 65-77.
13. C. Durand and S. Molnar, "CSG User's Manual," Computer Science Dept., Univ. of North Carolina at Chapel Hill, 1987.
14. H. Fuchs et al., "A Heterogeneous Multiprocessor Graphics System Using Processor-Enhanced Memories," Tech. Report TR89-005, Dept. of Computer Science, Univ. of North Carolina at Chapel Hill, 1989.
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