algebraic geometry, design, computers, algorithms
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.
Original Publication Citation
Sederberg, T. W., and R. N. Goldman. "Algebraic Geometry for Computer-Aided Geometric Design." Computer Graphics and Applications, IEEE 6.6 (1986): 52-9.
BYU ScholarsArchive Citation
Sederberg, Thomas W. and Goldman, Ronald N., "Algebraic Geometry for Computer-Aided Geometric Design" (1986). All Faculty Publications. 753.
Physical and Mathematical Sciences
© 1986 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
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