Curve construction based on quartic Bernstein-like basis

DOI10.3934/math.2020343zbMath1484.65028OpenAlexW3036549385MaRDI QIDQ2129904

Yanyan Li

Publication date: 25 April 2022

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

Full work available at URL: https://doi.org/10.3934/math.2020343

zbMATH Keywords

interpolationcontinuityconnectingB-spline-like basisexponential shape parameters

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

• Design of \(C^2\) algebraic-trigonometric Pythagorean hodograph splines with shape parameters
• 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
• Shape-preserving interpolants with high smoothness
• Constrained multi-degree reduction with respect to Jacobi norms
• New trigonometric basis possessing denominator shape parameters
• Geometric Hermite interpolation by spatial Pythagorean-hodograph cubics
• Curve and surface construction using variable degree polynomial splines
• Shape-adjustable generalized Bézier surfaces: construction and it is geometric continuity conditions
• Developable Bézier-like surfaces with multiple shape parameters and its continuity conditions
• Geometric construction of spline curves with tension properties
• Curve construction based on four \(\alpha \beta\)-Bernstein-like basis functions
• On a class of weak Tchebycheff systems
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