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Issue No.03 - May/June (1994 vol.14)
pp: 22-35
ABSTRACT
<p>Ray-representations simplify geometrical calculations and effectively decouple application design from the particulars of modeling systems. They extend the geometric coverage of solid modelers, while increasing the range of supported applications. The authors list some of the problems with solid modelling and explain how the use of ray representations for solids provides effective solutions to the domain, application support, and some system problems.</p>
CITATION
Jai Menon, Marisa Richard J., Jovan Zagajac, "More Powerful Solid Modeling Through Ray Representations", IEEE Computer Graphics and Applications, vol.14, no. 3, pp. 22-35, May/June 1994, doi:10.1109/38.279039
REFERENCES
1. J.L. Ellis et al., "The RayCasting Engine and Ray Representations: A Technical Summary,"Int'l J. Computational Geometry and Applications, Vol. 1, No. 4, Dec. 1991, pp. 347-380.
2. R.B. Tilove, "Set Membership Classification: A Unified Approach to Geometric Intersection Problems,"IEEE Trans. Computers, Vol. C-29, No. 20, Oct. 1980, pp. 874-883.
3. J.P. Menon and H.B. Voelcker, "Mathematical Foundations: Set Theoretic Properties of Ray Representations and Minkowski Operations on Solids," Tech. Report CPA91-9, Sibley School of Mechanical Eng., Cornell Univ., Jan. 1992.
4. A.A.G. Requicha and H.B. Voelcker, "Boolean Operations in Solid Modeling: Boundary Evaluation and Merging Algorithms,"Proc. IEEE, Vol. 73, No. 1, Jan. 1985, IEEE Press, Piscataway, N.J., pp. 30-44.
5. J.P. Menon, R.J. Marisa, and J. Zagajac, "More Powerful Solid Modeling Through Ray Representations," Tech. Report CPA92-4, Sibley School of Mechanical Eng., Cornell Univ., Feb. 1992.
6. J.P. Menon and D.M. Robinson, "Advanced NC Verification Via Massively Parallel Raycasting: Extensions to New Phenomena and Geometric Domains,"ASME Manufacturing Rev., Vol. 6, No. 2, June 1993, pp. 141-154.
7. J. Serra,Image Analysis and Mathematical Morphology, Academic Press, London, 1982.
8. J.P. Menon, "Constructive Shell Representations for Free-form Surfaces and Solids,"IEEE CG&A, Vol. 14, No. 2, Mar. 1994, pp. 24- 36.
9. D.M. Esterling and J.V. Rosendale, "An Intersection Algorithm for Moving Parts,"Proc. NASA Symp. Computer-Aided Geometric Modeling, Conf. Publication 2272, Hampton, Virg., Apr. 1983, pp. 129-133.
10. J. Duderstadt and W. Martin,Transport Theory, John Wiley&Sons. New York, 1979.
11. J. Zagajac, "Image Rendering: A Monte Carlo Method for a Boundary Value Formulation," Tech. Report CPA92-6, Sibley School of Mechanical Eng., Cornell Univ., Mar. 1994.
12. J.T. Kajiya, "The Rendering Equation,"Computer Graphics(Proc. Siggraph), Vol. 20, No. 4, Aug. 1986, pp. 143-150.
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