Issue No. 06 - June (1986 vol. 6)
Ronald Goldman , Control Data Corporation
Thomas Sederberg , Brigham Young University
Classical algebraic geometry has been virtually ignored in computer-aided geometric design. However, because it deals strictly with algorithms, it is really more suited to this field than is modern algebraic geometry, which introduces abstractions far removed from the algorithmic nature of computer-aided design. This tutorial examines resultants, curve implicitization, curve inversion, and curve intersection. Discussion follows a series of examples simple enough for those with only a modest algebra background to follow.
Ronald Goldman, Thomas Sederberg, "Algebraic Geometry for Computer-Aided Geometric Design", IEEE Computer Graphics and Applications, vol. 6, no. , pp. 52-59, June 1986, doi:10.1109/MCG.1986.276742