Axial moving planes and singularities of rational space curves
From MaRDI portal
Publication:625182
DOI10.1016/j.cagd.2008.09.002zbMath1205.14077OpenAlexW2024818949MaRDI QIDQ625182
Xiaohong Jia, Hao Hao Wang, Ronald N. Goldman
Publication date: 15 February 2011
Published in: Computer Aided Geometric Design (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cagd.2008.09.002
Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Plane and space curves (14H50) Computational aspects of algebraic curves (14Q05) Singularities of curves, local rings (14H20)
Related Items (8)
Strata of rational space curves ⋮ Survey on the theory and applications of \(\mu\)-bases for rational curves and surfaces ⋮ Role of moving planes and moving spheres following Dupin cyclides ⋮ Implicitization, parameterization and singularity computation of Steiner surfaces using moving surfaces ⋮ Matrix-based implicit representations of rational algebraic curves and applications ⋮ Strata of vector spaces of forms in \({R = \mathsf k[x, y}\), and of rational curves in \({\mathbb{P}^k}\)] ⋮ Set-theoretic generators of rational space curves ⋮ Certified approximation of parametric space curves with cubic \(B\)-spline curves
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- \(\mu \)-bases for polynomial systems in one variable
- Axial moving lines and singularities of rational planar curves
- The genus of space curves
- Geometric theory of algebraic space curves
- The moving line ideal basis of planar rational curves
- Implicitizing rational curves by the method of moving algebraic curves
- Revisiting the \(\mu\)-basis of a rational ruled surface.
- A new implicit representation of a planar rational curve with high order singularity
- Effective computation of singularities of parametric affine curves
- On the validity of implicitization by moving quadrics for rational surfaces with no base points
- Computation of the singularities of parametric plane curves
- Computing singular points of plane rational curves
- The 𝐷-resultant, singularities and the degree of unfaithfulness
- The μ-basis of a planar rational curve—properties and computation
- Curve implicitization using moving lines
This page was built for publication: Axial moving planes and singularities of rational space curves