Improperly parametrized rational curves
Computer Aided Geometric Design
Implicitization of rational parametric equations
Journal of Symbolic Computation
Gro¨bner bases: a computational approach to commutative algebra
Gro¨bner bases: a computational approach to commutative algebra
Fundamentals of computer aided geometric design
Fundamentals of computer aided geometric design
An implicitization algorithm with fewer variables
Computer Aided Geometric Design
Implicitization using moving curves and surfaces
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Comparison of various multivariate resultant formulations
ISSAC '95 Proceedings of the 1995 international symposium on Symbolic and algebraic computation
Implicitizing rational curves by the method of moving algebraic curves
Journal of Symbolic Computation - Special issue: parametric algebraic curves and applications
Modern computer algebra
Residual resultant over the projective plane and the implicitization problem
Proceedings of the 2001 international symposium on Symbolic and algebraic computation
Curves and Surfaces for Computer-Aided Geometric Design: A Practical Code
Curves and Surfaces for Computer-Aided Geometric Design: A Practical Code
Numerical Implicitization of Parametric Hypersurfaces with Linear Algebra
AISC '00 Revised Papers from the International Conference on Artificial Intelligence and Symbolic Computation
Using polynomial interpolation for implicitizing algebraic curves
Computer Aided Geometric Design
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A new technique for finding the implicit equation of a rational curve is investigated. It is based on efficient computation of the Bézout resultant and Lagrange interpolation. One of the main features of our approach is that it considerably reduces the size of intermediate expressions and results in significant speed-up in the algorithm.