Journal of Symbolic Computation
Algorithmic algebra
Curve implicitization using moving lines
Computer Aided Geometric Design
Implicitization using moving curves and surfaces
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Implicitizing rational curves by the method of moving algebraic curves
Journal of Symbolic Computation - Special issue: parametric algebraic curves and applications
Polynomial Algorithms in Computer Algebra
Polynomial Algorithms in Computer Algebra
Normal parameterizations of algebraic plane curves
Journal of Symbolic Computation
Applications of Gröbner Bases in Non-linear Computational Geometry
Proceedings of the International Symposium on Trends in Computer Algebra
Plotting missing points and branches of real parametric curves
Applicable Algebra in Engineering, Communication and Computing
Computer Aided Geometric Design
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In this paper we present a method to compute an implicitization of a rational parametrized curve in an affine space over an algebraically closed field. This method is the natural generalization of the resultant method for planar curves. For this purpose we need some normality assumptions on the parametrization of the curve. Furthermore, we provide a test to decide whether a parametrization is normal and if not, we compute a normal parametrization.