Rational-ruled surfaces: implicitization and section curves
Graphical Models and Image Processing
Implicitization using moving curves and surfaces
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
The moving line ideal basis of planar rational curves
Computer Aided Geometric Design
The mu-basis of a rational ruled surface
Computer Aided Geometric Design
The µ-basis of a planar rational curve: properties and computation
Graphical Models
The µ-basis of a planar rational curve: properties and computation
Graphical Models
Computing μ-bases of rational curves and surfaces using polynomial matrix factorization
Proceedings of the 2005 international symposium on Symbolic and algebraic computation
Division algorithms for Bernstein polynomials
Computer Aided Geometric Design
Computing self-intersection curves of rational ruled surfaces
Computer Aided Geometric Design
A computational study of ruled surfaces
Journal of Symbolic Computation
The μ-basis and implicitization of a rational parametric surface
Journal of Symbolic Computation
Collision and intersection detection of two ruled surfaces using bracket method
Computer Aided Geometric Design
Approximate µ-bases of rational curves and surfaces
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
Characterization of rational ruled surfaces
Journal of Symbolic Computation
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This paper discusses a direct application of the µ-basis in reparametrizing a rational ruled surface. Using the µ-basis, we construct a new ruled surface, which is a dual of the original surface. A reparametrization can then be obtained from the µ-basis of the dual ruled surface. The reparametrized surface does not contain any nongeneric base point and has a pair of directrices with the lowest possible degree.