On geometric interpolation of circle-like curves
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Publication:733415
DOI10.1016/j.cagd.2007.03.002zbMath1171.65310OpenAlexW2059966450MaRDI QIDQ733415
Marjeta Krajnc, Gašper Jaklič, Jernej Kozak, Emil Žagar
Publication date: 16 October 2009
Published in: Computer Aided Geometric Design (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cagd.2007.03.002
Related Items (14)
Uniform approximation of a circle by a parametric polynomial curve ⋮ Interpolation of circular arcs by parametric polynomials of maximal geometric smoothness ⋮ High-order parametric polynomial approximation of conic sections ⋮ Arc length preserving \(G^2\) Hermite interpolation of circular arcs ⋮ Circular sector area preserving approximation of circular arcs by geometrically smooth parametric polynomials ⋮ Planar cubic \(G^{1}\) interpolatory splines with small strain energy ⋮ High order approximation of rational curves by polynomial curves ⋮ Necklaces count polynomial parametric osculants ⋮ CLOSED FORM FORMULA FOR THE NUMBER OF RESTRICTED COMPOSITIONS ⋮ On parametric polynomial circle approximation ⋮ A general framework for the optimal approximation of circular arcs by parametric polynomial curves ⋮ Geometric interpolation by planar cubic polynomial curves ⋮ A property of parametric polynomial approximants of half circles ⋮ Approximation of circular arcs by parametric polynomial curves
Cites Work
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- High-order approximation of conic sections by quadratic splines
- Good approximation of circles by curvature-continuous Bézier curves
- High accuracy geometric Hermite interpolation
- Approximation of circular arcs by cubic polynomials
- Circular arc approximation by quintic polynomial curves
- An \(O(h^{2n})\) Hermite approximation for conic sections
- \(G^3\) approximation of conic sections by quintic polynomial curves
- On geometric interpolation by planar parametric polynomial curves
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