An algorithm to compute the \(\mu\)-bases of rational parametric surfaces with respect to one variable

Factorization of matrices (15A23) Numerical approximation and computational geometry (primarily algorithms) (65D99) Numerical algorithms for computer arithmetic, etc. (65Y04)

Cites Work

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Implicitizing rational surfaces using moving quadrics constructed from moving planes
Role of moving planes and moving spheres following Dupin cyclides
Using Smith normal forms and \(\mu\)-bases to compute all the singularities of rational planar curves
\(\mu \)-bases for polynomial systems in one variable
\(\mu \)-bases and singularities of rational planar curves
Axial moving lines and singularities of rational planar curves
Method for intersecting algebraic surfaces with rational polynomial patches
Implicitization of rational hypersurfaces via linear syzygies: a practical overview
The moving line ideal basis of planar rational curves
An improved algorithm for constructing moving quadrics from moving planes
Survey on the theory and applications of \(\mu\)-bases for rational curves and surfaces
Algorithm for computing \(\mu\)-bases of univariate polynomials
On the validity of implicitization by moving quadrics for rational surfaces with no base points
Implicitizing rational surfaces without base points by moving planes and moving quadrics
The \(\mu \)-basis and implicitization of a rational parametric surface
Computing \(\mu\)-bases of univariate polynomial matrices using polynomial matrix factorization
A constructive approach to implicitizing rational surfaces with LCI base points by moving planes and moving quadrics
The μ-basis of a planar rational curve—properties and computation
IMPLICITIZATION OF SURFACES IN ℙ³ IN THE PRESENCE OF BASE POINTS
Using Algebraic Geometry
Determinantal tensor product surfaces and the method of moving quadrics
Computing μ-bases of rational curves and surfaces using polynomial matrix factorization
Curve implicitization using moving lines
Resultants and moving surfaces
The \(\mu\)-basis of a rational ruled surface

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