On computing the intersection of a pair of algebraic surfaces
Computer Aided Geometric Design
Automatic parameterization of rational curves and surfaces IV: algebraic space curves
ACM Transactions on Graphics (TOG) - Special issue on computer-aided design
Computing an equidimensional decomposition of an algebraic variety by means of geometric resolutions
ISSAC '00 Proceedings of the 2000 international symposium on Symbolic and algebraic computation
A Gröbner free alternative for polynomial system solving
Journal of Complexity
Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra, 3/e (Undergraduate Texts in Mathematics)
Matrix-based implicit representations of rational algebraic curves and applications
Computer Aided Geometric Design
An algorithm for computing set-theoretic generators of an algebraic variety
Proceedings of the 36th international symposium on Symbolic and algebraic computation
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In this paper we show that the ideal of any algebraic curve in affine 3-space whose Jacobian matrix has rank at least 1 at every singular point of the curve can be generated by three polynomials and we give constructive procedures to compute such generators.