Construction of developable surfaces using generalized C-Bézier bases with shape parameters

DOI10.1007/s40314-020-01185-9zbMath1449.65020OpenAlexW3030148795MaRDI QIDQ2185055

Junfeng Wu, Huanxin Cao, Gang Hu, Guo Wei

Publication date: 4 June 2020

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-020-01185-9

zbMATH Keywords

shape parameterdevelopable C-Bézier surfacesextensional C-Bézier basis functionsgeometric continuity condition

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (7)

Simultaneous developability of Partner ruled surfaces according to Darboux frame in \(E^3\) ⋮ Smarandache ruled surfaces according to Frenet-Serret frame of a regular curve in \(E^3\) ⋮ Shape optimization of GHT-Bézier developable surfaces using particle swarm optimization algorithm ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Characteristic properties of type-2 Smarandache ruled surfaces according to the type-2 Bishop frame in \(E^3\) ⋮ Harmonic evolute surface of tubular surfaces via \(\mathbb{B}\)-Darboux frame in Euclidean 3-space

Cites Work

• Unnamed Item
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• Developable rational Bézier and B-spline surfaces
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• Design of developable surfaces using duality between plane and point geometries
• Approximation algorithms for developable surfaces
• Model fabrication using surface layout projection
• Shape-adjustable generalized Bézier surfaces: construction and it is geometric continuity conditions
• A class of Bézier-like curves
• A simple algorithm for designing developable Bézier surfaces
• Degree elevation and developable Bézier surfaces
• A new algorithm for designing developable Bézier surfaces

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