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Intersection of Parametric Surfaces and a Plane
August 1984 (vol. 4 no. 8)
pp. 48-51
Randy Lee, R.B.Lee&Associates, Rensselaer Polytechnic Institute
David Fredricks, CADAM,Inc.
This algorithm exploits basic differential geometry analysis to achieve high speed,low memory usage,reliability, and independence from surface type.

1. I. D.Faux and M. J.Pratt, Computational Geometry for Design and Manufacture , John Wiley and Sons 1979
2. Samir L.Hanna, John F.Abel, and Donald P.Greenberg, “Intersection of Parametric Surfaces by Means of Look-Up Tables,” IEEE Computer Graphics and Applications Vol. 3, No. 7, pp. 39-48 Oct. 1983
3. R. E.Williamson, R. H.Crowell, and H. F.Trotter, Calculus of Vector Functions , Prentice-Hall 1968
4. M. P.do Carmo, Differential Geometry of Curves and Surfaces , prentice-Hall 1976

Citation:
Randy Lee, David Fredricks, "Intersection of Parametric Surfaces and a Plane," IEEE Computer Graphics and Applications, vol. 4, no. 8, pp. 48-51, Aug. 1984, doi:10.1109/MCG.1984.276117
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