Fast ray tracing of implicit surfaces

Computer Graphics Forum

Volumn 18, Issue 2, 1999, Pages 139-148

  Sherstyuk, Andrei ^a  

^a Square USA ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ANTI-ALIASING; FUNCTIONS; MATHEMATICAL MODELS;

IMPLICIT SURFACE RENDERING;

RAY TRACING;

EID: 0032661212     PISSN: 01677055     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-8659.00364     Document Type: Article

References (19)

1. Foley J. D., van Dam A., Feiner S. K. and Hughes J. F., Computer Graphics, Principles and Practice, second edition. Reading, Massachusetts: Addison-Wesley, 1990.
2. Hart J. C., "Ray tracing Implicit Surfaces", in Course Notes 25, SIGGRAPH 1993, Modeling, Visualizing and Animating Implicit Surfaces pages 13.1-13.15.
3. Mitchell D., "Robust Ray Tracing with Interval Arithmetic", Proceedings of Graphics Interface '90, Canadian Information Processing Society, Toronto, 1990, pp. 68-74
4. Tuy H. K. Tuy and Tuy L. T., "Direct 2-D Display of 3-D Objects", IEEE Computer Graphics and Applications, Vol. 4, No. 10, October 1984, pp. 29-33.
5. Perlin K., Hoffert E. M., "Hypertexture", SIGGRAPH Proceedings, Vol. 23, July 1989, pp. 253-262.
6. Kalra D. and Barr A., "Guaranteed Ray Intersection with Implicit Surfaces", SIGGRAPH Proceedings, Vol. 23, No. 3, July 1989, pp. 297-306.
7. Press W. H., Teukolsky S. A., Vetterling W. T. and Flannery B. P., Numerical Recipes in C: The Art of Scientific Computing, second edition. Cambridge University Press, 1992.
8. Hart J. C., "Sphere tracing: A geometric method for the antialiased ray tracing of implicit surfaces", The Visual Computer, 12(10), pp. 527-545, December 1996.
9. Blinn J. F., "A Generalization of Algebraic Surface Drawing", ACM TOG, Vol. 1, No. 3, July 1982, pp. 235-256.
10. Nishimura H., Hirai M., Kawai T., Kawata T., Shirakawa I. and Omura K., "Object Modelling by Distribution Function and a Method of Image Generation", The Transactions of the Institute of Electronics and Communication Engineers of Japan, 1985, Vol. J68-D, Part 4, pp. 718-725, in Japanese (English translation by Takao Fujuwara available).
11. Wyvill G., McPheeters C. and Wyvill B., "Data structure for soft objects", The Visual Computer, Vol. 2, pp. 227-234, 1986.
12. Bloomenthal J. and Shoemake K., "Convolution Surfaces", SIGGRAPH Proceedings, Vol. 25, No. 4, July 1991, pp. 251-256.
13. Wyvill G. and Trotman A., "Ray Tracing Soft Objects", CG International 90, Springer Verlag, pp. 469-475, 1990.
14. Schwarze J., "Cubic and Quartic Roots", Graphics Gems (editor, Andrew S. Glassner), Academic Press, Cambridge, MA, 1990, pp. 404-407.
15. McCormack J. and Sherstyuk A., "Modeling and Rendering Convolution Surfaces", Computer Graphics Forum, Vol. 17, No. 2, 1998.
16. Wyvill G., Wyvill B., and McPheeters C. "Solid Texturing of Soft Objects", IEEE Computer Graphics and Applications, Vol. 7, No. 12, December 1987, pp. 20-26.
17. Zonenschein R., Gomes J., Velho L., and de Figueiredo L., "Controlling Texture Mapping onto Implicit Surfaces with Particle Systems", Implicit Surfaces '98 Proceedings, Seattle, June 1998.
18. Buchanan J. and Turner P., Numerical Methods and Analysis, McGraw-Hill, Inc, 1992.
19. Haines E., "A Proposal for Standard Graphics Environments", IEEE Computer Graphics and Applications, Vol. 7, No. 11, November 1987, pp. 3-5.