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Issue No.05 - September/October (1990 vol.10)
pp: 12-21
<p>A survey of some techniques that may have potential for free-form modeling with algebraic surfaces is continued. Classical results as well as several recent innovations are included. Specific attention is paid to cubic algebraic surfaces, although many of the ideas presented have application to algebraic surfaces of any degree. Topics addressed include piecewise constructions, interpolation to points and space curves, and parameterization.</p>
Thomas W. Sederberg, "Techniques for Cubic Algebraic Surfaces", IEEE Computer Graphics and Applications, vol.10, no. 5, pp. 12-21, September/October 1990, doi:10.1109/38.59032
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3. T.W. Sederberg, "Piecewise Algebraic Surface Patches,"Computer Aided Geometric Design, Vol. 2, Nos. 1-3, Sept. 1985, pp. 53-59.
4. T.W. Sederberg, "Planar Piecewise Algebraic Curves,"Computer Aided Geometric Design, Vol. 1, No. 3, Dec. 1984, pp. 241-255.
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9. T.W. Sederberg and J.P. Snively, "Parametrization of Cubic Algebraic Surfaces," inThe Mathematics of Surfaces II, R.R. Mar tin, ed., Clarendon Press, Oxford, U.K., 1987, pp. 299-319.
10. S.S. Abhyankar and C. Bajaj, "Automatic Parametrization of Rational Curves and Surfaces II: Cubics and Cubicoids,"Computer-Aided Design, Vol. 19, No. 9, Nov. 1987, pp. 499-502.
11. A. Henderson,The Twenty-Seven Lines Upon the Cubic Surface, Cambridge Univ. Press, Cambridge, U.K., 1911.
12. J. Warren, "The Effect of Base Points on Rational Bezier Surfaces," Tech. Report TR90-122, Computer Science Dept., Rice Univ., Houston, Texas, 1990.
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