Implicitization of rational surfaces by means of polynomial interpolation
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Publication:1603812
DOI10.1016/S0167-8396(02)00094-8zbMath0995.68140OpenAlexW2073139439MaRDI QIDQ1603812
José-Javier Martıńez, Ana Marco
Publication date: 15 July 2002
Published in: Computer Aided Geometric Design (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0167-8396(02)00094-8
Computer science aspects of computer-aided design (68U07) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Interpolation in approximation theory (41A05)
Related Items (8)
Implicitization of parametric curves via Lagrange interpolation ⋮ A simple method for implicitizing rational curves and surfaces ⋮ Implicitization of curves and (hyper)surfaces using predicted support ⋮ Computing the form of highest degree of the implicit equation of a rational surface ⋮ Numerical stability of surface implicitization ⋮ Computing the intersection of two ruled surfaces by using a new algebraic approach ⋮ A univariate resultant-based implicitization algorithm for surfaces ⋮ An effective hybrid algorithm for computing symbolic determinants
Cites Work
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- Multipolynomial resultant algorithms
- Implicitization of parametric curves and surfaces by using multidimensional Newton formulae
- On a relationship between the moving line and moving conic coefficient matrices
- The \(n\)-sided toric patches and \(\mathcal A\)-resultants
- On the validity of implicitization by moving quadrics for rational surfaces with no base points
- A generalized Kronecker product and linear systems
- Solution of Vandermonde systems of equations
- An implicitization algorithm for rational surfaces with no base points
- Resultants and moving surfaces
- Using polynomial interpolation for implicitizing algebraic curves
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