Matrix analysis
Computer algebra: systems and algorithms for algebraic computation
Computer algebra: systems and algorithms for algebraic computation
Degree, multiplicity, and inversion formulas for rational surfaces using u-resultants
Computer Aided Geometric Design
Algorithm for implicitizing rational parametric surfaces
Computer Aided Geometric Design
Multipolynomial resultant algorithms
Journal of Symbolic Computation
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
Matrix computations (3rd ed.)
Implicitization of parametric curves and surfaces by using multidimensional Newton formulae
Journal of Symbolic Computation - Special issue: parametric algebraic curves and applications
On the validity of implicitization by moving quadrics for rational surfaces with no base points
Journal of Symbolic Computation
The n-sided toric patches and A-resultants
Computer Aided Geometric Design
An implicitization algorithm for rational surfaces with no base points
Journal of Symbolic Computation
Resultants and moving surfaces
Journal of Symbolic Computation
Elimination and Resultants - Part 1: Elimination and Bivariate Resultants
IEEE Computer Graphics and Applications
IEEE Computer Graphics and Applications
Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra, 3/e (Undergraduate Texts in Mathematics)
Using polynomial interpolation for implicitizing algebraic curves
Computer Aided Geometric Design
A univariate resultant-based implicitization algorithm for surfaces
Journal of Symbolic Computation
Numerical stability of surface implicitization
Journal of Symbolic Computation
Implicitization of curves and surfaces using predicted support
Proceedings of the 2011 International Workshop on Symbolic-Numeric Computation
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A method for finding the implicit equation of a surface given by rational parametric equations is presented. The method is based on an efficient computation of the resultant by means of classical multivariate polynomial interpolation. The used approach considerably reduces the problem of intermediate expression swell and it can easily be implemented in parallel.