Certified approximation of parametric space curves with cubic \(B\)-spline curves
From MaRDI portal
Publication:714496
DOI10.1016/j.cagd.2012.06.001zbMath1251.65014arXiv1203.0478OpenAlexW2005164125WikidataQ57533603 ScholiaQ57533603MaRDI QIDQ714496
Li-Yong Shen, Chun-Ming Yuan, Xiao-Shan Gao
Publication date: 11 October 2012
Published in: Computer Aided Geometric Design (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1203.0478
numerical examplescubic Bézier curvecertified approximationcubic \(B\)-spline curvegeometric featurespace parametric curve
Related Items
Globally certified \(G^1\) approximation of planar algebraic curves, An algorithm to parametrize approximately space curves, Certified rational parametric approximation of real algebraic space curves with local generic position method, Numerical proper reparametrization of parametric plane curves, Approximation of parametric curves by moving least squares method, Rational Hausdorff divisors: a new approach to the approximate parametrization of curves, Numerical polynomial reparametrization of rational curves, Homeomorphic approximation of the intersection curve of two rational surfaces
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Axial moving planes and singularities of rational space curves
- Shape preserving approximation by spatial cubic splines
- Curve fitting and fairing using conic splines
- Topology of 2D and 3D rational curves
- Collision and intersection detection of two ruled surfaces using bracket method
- Geometric Hermite interpolation
- High accurate rational approximation of parametric curves
- Evolution-based least-squares fitting using Pythagorean hodograph spline curves
- High accuracy Hermite approximation for space curves in \(\mathbb {R}^d\)
- Detecting real singularities of a space curve from a real rational parametrization
- Complete numerical isolation of real roots in zero-dimensional triangular systems
- Detecting cusps and inflection points in curves
- The moving line ideal basis of planar rational curves
- Identification of inflection points and cusps on rational curves
- Efficient isolation of polynomial's real roots.
- \(G^3\) continuous curve modeling with rational cubic Bézier spline
- Geometric Hermite interpolation by spatial Pythagorean-hodograph cubics
- Rational quadratic approximation to real algebraic curves
- Computation of the topology of real algebraic space curves
- Approximation by conic splines
- Shape-preserving interpolation by fair discrete \(G^3\) space curves
- Geometric Hermite interpolation -- in memoriam Josef Hoschek
- On local implicit approximation and its applications
- Computing μ-bases of rational curves and surfaces using polynomial matrix factorization
- On the computation of the topology of a non-reduced implicit space curve
- Geometric Hermite interpolation for space curves