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
The moving line ideal basis of planar rational curves
Computer Aided Geometric Design
On the validity of implicitization by moving quadrics for rational surfaces with no base points
Journal of Symbolic Computation
A new implicit representation of a planar rational curve with high order singularity
Computer Aided Geometric Design
The µ-basis of a planar rational curve: properties and computation
Graphical Models
Axial moving lines and singularities of rational planar curves
Computer Aided Geometric Design
Axial moving planes and singularities of rational space curves
Computer Aided Geometric Design
Set-theoretic generators of rational space curves
Journal of Symbolic Computation
Computing the singularities of rational space curves
Proceedings of the 2010 International Symposium on Symbolic and Algebraic Computation
Matrix-based implicit representations of rational algebraic curves and applications
Computer Aided Geometric Design
Using a bihomogeneous resultant to find the singularities of rational space curves
Journal of Symbolic Computation
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The notion of a @m-basis for an arbitrary number of polynomials in one variable is defined. The basic properties of these @m-bases are derived, and an algorithm is presented based on Gaussian Elimination to calculate a @m-basis for any collection of univariate polynomials. These @m-bases are then applied to solve implicitization, inversion and intersection problems for rational space curves. Systems where base points are present are also discussed.