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Issue No.01 - January/February (1993 vol.13)
pp: 53-59
ABSTRACT
<p>It is shown that Dupin cyclides (C.P. Dupin, 1822), as surfaces in computer-aided geometric design (CAGD), have attractive properties such as low algebraic degree, rational parametric forms, and an easily comprehensible geometric representation using simple and intuitive geometric parameters. Their alternative representations permit the transition between forms when one or the other is more convenient for a specific purpose. Cyclides provide is useful extension of geometric coverage in solid modeling, primarily as blending surfaces for many commonly occurring situations. The geometry, properties, and uses of the Dupin cyclide in free-form surface modeling and blending are discussed.</p>
CITATION
Debasish Dutta, Ralph R. Martin, Michael J. Pratt, "Cyclides in Surface and Solid Modeling", IEEE Computer Graphics and Applications, vol.13, no. 1, pp. 53-59, January/February 1993, doi:10.1109/38.180118
REFERENCES
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9. M.J. Pratt, "Applications of Cyclide Surfaces in Geometric Modelling," inMathematics of Surfaces, Vol. 3, D.C. Handscomb, ed., Oxford Univ. Press, Oxford, UK, 1989.
10. V. Chandru, D. Dutta, and C.M. Hoffmann, "On the Geometry of Dupin Cyclides,"The Visual Computer, Vol. 5, No. 5, 1989, pp. 277- 290.
11. Y.J. Sharrock,Surface Design with Cyclide Patches, PhD thesis, Cambridge Univ., Cambridge, UK, 1985.
12. W.L.F. Degen, "Generalised Cyclides for Use in CAGD," inMathematics of Surfaces, Vol. 4, A. Bowyer, ed., Oxford Univ. Press, Oxford, UK, to appear.
13. J.K. Johnstone and C.K. Shene, "Computing the Intersection of a Plane and a Natural Quadric,"Computers&Graphics, Vol. 16, No. 2, June 1992, pp. 179-186.
14. Y.L. Srinivas and D. Dutta, "Blending and Joining Using Cyclides,"Proc. ASME Design Automation Conf., ASME, New York, 1992.
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