Curvatures of the quadratic rational Bézier curves
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Publication:1125021
DOI10.1016/S0898-1221(98)00193-XzbMath0932.65015OpenAlexW1980465106MaRDI QIDQ1125021
Publication date: 15 March 2000
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0898-1221(98)00193-x
offset curvesmonotone curvaturefairing curveslocal extrema of curvaturequadratic rational Bézier curves
Related Items (4)
Approximation of conic sections by curvature continuous quartic Bézier curves ⋮ The eccentricity of conic sections formulated as rational Bézier quadratics ⋮ Circle reproduction with interpolatory curves at local maximal curvature points ⋮ Helix approximations with conic and quadratic Bézier curves
Cites Work
- Planar curve interpolation by piecewise conics of arbitrary type
- Approximate conversion of spline curves
- High accuracy geometric Hermite interpolation
- Curve and surface constructions using rational B-splines
- Controlling the curvature of a quadratic Bézier curve
- An analysis of symmetry for plane curves and plane curve algorithms
- Approximation of circular arcs by Bézier curves
- An \(O(h^{2n})\) Hermite approximation for conic sections
- Designing Bézier conic segments with monotone curvature
- A geometrical approach to curvature continuous joints of rational curves
- Fairing Bézier curves with constraints
- Analytic properties of plane offset curves
- Curve Fitting with Conic Splines
- Curvature continuity and offsets for piecewise conics
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