An implicitization algorithm with fewer variables
Computer Aided Geometric Design
Residual resultant over the projective plane and the implicitization problem
Proceedings of the 2001 international symposium on Symbolic and algebraic computation
Implicitization and parametrization of nonsingular cubic surfaces
Computer Aided Geometric Design
Techniques for Cubic Algebraic Surfaces
IEEE Computer Graphics and Applications
Applications of Gröbner Bases in Non-linear Computational Geometry
Proceedings of the International Symposium on Trends in Computer Algebra
Implicitization of rational surfaces by means of polynomial interpolation
Computer Aided Geometric Design
Residue and Implicitization Problem for Rational Surfaces
Applicable Algebra in Engineering, Communication and Computing
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For a numerically given parametrization we cannot compute an exact implicit equation, just an approximate one. We introduce a condition number to measure the worst effect on the solution when the input data is perturbed by a small amount.