Interval implicitization of rational curves

DOI10.1016/j.cagd.2004.02.001zbMath1069.65511OpenAlexW1982839649MaRDI QIDQ2388567

Falai Chen, Lin Deng

Publication date: 14 September 2005

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2004.02.001

zbMATH Keywords

interval arithmeticinterval algebraic curveinterval implicitization

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Computer-aided design (modeling of curves and surfaces) (65D17) Algorithms with automatic result verification (65G20)

Related Items (5)

Approximate implicitization of parametric surfaces by using compactly supported radial basis functions ⋮ An evolution-based approach for approximate parameterization of implicitly defined curves by polynomial parametric spline curves ⋮ Approximate implicitization of parametric curves using cubic algebraic splines ⋮ The influence of interval arithmetic on the shape of uncertainly defined domains modelled by closed curves ⋮ A new approach for approximate implicitization of parametric curves

Cites Work

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• Degree reduction of interval Bézier curves
• Planar piecewise algebraic curves
• Regular algebraic curve segments. I: Definitions and characteristics
• Computational techniques for processing parametric surfaces

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