A sufficient condition for 3D typical curves

DOI10.1016/j.cagd.2021.101991zbMath1470.65024OpenAlexW3155776465MaRDI QIDQ2039101

Ming Chen, Wei-hua Tong

Publication date: 2 July 2021

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2021.101991

zbMATH Keywords

monotonicitytorsioncurvatureBézier curvestypical curves

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (2)

Planar class A Bézier curves: the case of real eigenvalues ⋮ GMP2021 - 15th international conference on geometric modeling and processing

Cites Work

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• A further generalisation of the planar cubic Bézier spiral
• Planar two-point \(G^1\) Hermite interpolating log-aesthetic spirals
• Family of superspirals with completely monotonic curvature given in terms of Gauss hypergeometric function
• Curve fitting and fairing using conic splines
• A note on: ``Class A Bézier curves
• Controlling the curvature of a quadratic Bézier curve
• A shape controled fitting method for Bézier curves
• Planar \(G^{2}\) transition curves composed of cubic Bézier spiral segments
• Designing Bézier conic segments with monotone curvature
• Counter examples of ``Class A Bézier curves
• A planar cubic Bézier spiral
• Curvature of planar aesthetic curves
• Designing fair curves using monotone curvature pieces
• Constructing Bézier curves with monotone curvature
• Curve design with more general planar Pythagorean-hodograph quintic spiral segments
• Class A Bézier curves
• Curvature Monotony Condition for Rational Quadratic B-spline Curves

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