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Issue No.02 - March/April (1994 vol.14)
pp: 24-36
ABSTRACT
<p>We usually model freeform surfaces (mathematically, 2D r-sets embedded in 3D Euclidean space E/sup 3/) as a finite union of patches represented in the traditional parametric or the recently developed algebraic forms. The article introduces a new representation scheme for freeform surfaces called constructive shell representation (CSR), that draws on recent research on algebraic patches. CSRs of surfaces that constitute boundaries of solids are very useful for solid modeling. They represent thick shells derived from freeform surfaces and provide a means to compute exact CSG representations of freeform solids.</p>
CITATION
Jai P. Menon, "Constructive shell representations for freeform surfaces and solids", IEEE Computer Graphics and Applications, vol.14, no. 2, pp. 24-36, March/April 1994, doi:10.1109/38.267468
REFERENCES
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3. B. Guo,Modeling Arbitrary Smooth Objects with Algebraic Surfaces, PhD thesis, Dept. of Computer Sciences, Cornell University, 1991.
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10. J.P. Menon, R.J. Marisa, and J. Zagajac, "More Powerful Solid Modeling through Ray Representations,"IEEE CG&A, Vol. 14, No. 3, May 1994 (to appear).
11. N.M. Patrikalakis and G.A. Kriezis, "Representations of Piecewise Continuous Algebraic Surfaces in Terms of B-splines,"The Visual Computer, Vol. 5, No. 5, Oct. 1989, pp. 360-374.
12. W. Dahmen and T.-M. Thamm-Schaar, "Cubicoids: Modeling and Visualization,"Computer-Aided Geometric Design, in press.
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