Construction of flexible blending parametric surfaces via curves

DOI10.1016/j.matcom.2009.04.015zbMath1178.65016OpenAlexW2075352283MaRDI QIDQ730889

Ahmed Zidna, Bachir Belkhatir

Publication date: 1 October 2009

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2009.04.015

zbMATH Keywords

parametric surfaceHermite interpolationgeometric continuityBezier curveblending surfaceC-curveisoparametric curve

Mathematics Subject Classification ID

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

Related Items (6)

Semi-structured \(B\)-spline for blending two \(B\)-spline surfaces ⋮ A novel modeling and smoothing technique in global optimization ⋮ A New Smoothing Approach for Piecewise Smooth Functions: Application to Some Fundamental Functions ⋮ New Smoothing Approximations to Piecewise Smooth Functions and Applications ⋮ Heterogeneous parametric trivariate fillets ⋮ Smoothing approximations for piecewise smooth functions: a probabilistic approach

Cites Work

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• Blending an implicit with a parametric surface
• Geometric continuity between adjacent Bézier patches and their constructions
• C-curves: An extension of cubic curves
• Using partial differential equations to generate free-form surfaces
• A class of Bézier-like curves
• Construction of blending surfaces by parametric discrete interpolation PDE splines
• Optimal properties of the uniform algebraic trigonometric B-splines
• Blending parametric surfaces
• Numerical implicitization for intersection and \(G^n\)-continuous blending of surfaces

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