Serret-Frenet frame and curvatures of Bézier curves

DOI10.3390/math6120321zbMath1425.53004OpenAlexW2903766127MaRDI QIDQ2337286

Esra Erkan, Salim Yüce

Publication date: 19 November 2019

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math6120321

zbMATH Keywords

Bézier curvede Casteljau algorithmSerret-Frenet frame

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04)

Related Items (2)

\(LS(3)\)-equivalence conditions of control points and application to spatial Bézier curves and surfaces ⋮ The non-orthogonal Serret–Frenet parametrization applied to the path following problem of a manipulator with partially known dynamics

Cites Work

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• Designing Bézier conic segments with monotone curvature
• Shape modification for \(\lambda\)-Bézier curves based on constrained optimization of position and tangent vector
• Bezier curves based numerical solutions of delay systems with inverse time
• Approximate multidegree reduction of \(\lambda\)-Bézier curves
• Two simulated annealing optimization schemas for rational Bézier curve fitting in the presence of noise
• Curvature formulas for implicit curves and surfaces
• Quintic Trigonometric Bezier Curve with Two Shape Parameters

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