Improperly parametrized rational curves
Computer Aided Geometric Design
Curves and surfaces for computer aided geometric design
Curves and surfaces for computer aided geometric design
Mathematical methods in computer aided geometric design II
Symbolic parametrization of curves
Journal of Symbolic Computation
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
On the validity of implicitization by moving quadrics for rational surfaces with no base points
Journal of Symbolic Computation
The mu-basis of a rational ruled surface
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 of rational surfaces by means of polynomial interpolation
Computer Aided Geometric Design
Using polynomial interpolation for implicitizing algebraic curves
Computer Aided Geometric Design
Geometric applications of the Bezout matrix in the Lagrange basis
Proceedings of the 2007 international workshop on Symbolic-numeric computation
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A simple algorithm for finding the implicit equation of a parametric plane curve given by its parametric equations is presented. The algorithm is based on an efficient computation of the Bézout resultant and Lagrange interpolation. One of main features of our approach is the fact that it considerably reduces the problem of computing intermediate expressions.