\(G^1\) continuity of four pieces of developable surfaces with Bézier boundaries

DOI10.1016/j.cam.2017.02.044zbMath1376.65015OpenAlexW2591614612MaRDI QIDQ1675375

Chun-Gang Zhu, Cai-Yun Li

Publication date: 27 October 2017

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

Full work available at URL: https://doi.org/10.1016/j.cam.2017.02.044

zbMATH Keywords

control pointsdevelopable surfacegeometric designde Casteljau algorithm\(G^1\) connectionBézier boundary curves

Mathematics Subject Classification ID

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

Related Items (2)

Shape-adjustable developable generalized blended trigonometric Bézier surfaces and their applications ⋮ Construction of generalized hybrid trigonometric Bézier surfaces with shape parameters and their applications

Cites Work

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• Design and \(G^{1}\) connection of developable surfaces through Bézier geodesics
• Developable Bézier patches: properties and design
• Developable rational Bézier and B-spline surfaces
• Smoothing of free-form surfaces with Bézier patches
• Constructions of \(G^{1}\) continuous joins of rational Bézier patches
• GC\({}^ 1\) continuity conditions between two adjacent rational Bézier surface patches
• Bézier surfaces and finite elements for MHD simulations
• Interpolation with developable Bézier patches
• Developable \((1, n)\)-Bézier surfaces
• Design of developable surfaces using duality between plane and point geometries
• Necessary and sufficient conditions for tangent plane continuity of Bézier surfaces

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