A novel Bézier curve with a shape parameter of the same degree

DOI10.1007/s00025-018-0922-6zbMath1404.65011OpenAlexW2900029518MaRDI QIDQ1635091

Juncheng Li

Publication date: 18 December 2018

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-018-0922-6

zbMATH Keywords

Bézier curveBernstein basis functionsshape adjustmentthe same degree

Mathematics Subject Classification ID

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

Related Items (3)

The uniqueness of the rational Bézier polygon is unique ⋮ A class of sextic trigonometric Bézier curve with two shape parameters ⋮ Unnamed Item

Cites Work

• An extension of the Bézier model
• A new type of the generalized Bézier curves
• A novel extension to the polynomial basis functions describing Bézier curves and surfaces of degree \(n\) with multiple shape parameters
• A novel generalization of Bézier curve and surface
• The cubic trigonometric Bézier curve with two shape parameters
• The \(G^2\) and \(C^2\) rational quadratic trigonometric Bézier curve with two shape parameters with applications
• Unifying C-curves and H-curves by extending the calculation to complex numbers

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