A novel generalization of Bézier curve and surface
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Publication:929920
DOI10.1016/j.cam.2007.06.027zbMath1147.65013OpenAlexW2084193679MaRDI QIDQ929920
Xi-An Han, Yi-Chen Ma, XiLi Huang
Publication date: 19 June 2008
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.2007.06.027
computer aided geometric designBézier curveshape parametershape modificationBézier surfaceapproximation curveapproximation surfacegeneralized Bernstein basis functionsQ-Bézier curveQ-Bézier surface
Numerical smoothing, curve fitting (65D10) Computer-aided design (modeling of curves and surfaces) (65D17)
Related Items (25)
Approximate multi-degree reduction of Q-Bézier curves via generalized Bernstein polynomial functions ⋮ Geometric modeling and applications of generalized blended trigonometric Bézier curves with shape parameters ⋮ Curve construction based on quartic Bernstein-like basis ⋮ Quasi-Bézier curves with shape parameters ⋮ A novel Bézier curve with a shape parameter of the same degree ⋮ P-Bézier and P-Bspline curves -- new representations with proximity control ⋮ Geometric modeling of some engineering GBT-Bézier surfaces with shape parameters and their applications ⋮ Shape modification for \(\lambda\)-Bézier curves based on constrained optimization of position and tangent vector ⋮ Shape-adjustable generalized Bézier surfaces: construction and it is geometric continuity conditions ⋮ Generalized Bézier curves and surfaces based on Lupaş \(q\)-analogue of Bernstein operator ⋮ Offset approximation of hybrid hyperbolic polynomial curves ⋮ On \(\alpha \)-Bézier curves and surfaces ⋮ Generation of quasi‐developable Q‐Bézier strip via PSO‐based shape parameters optimization ⋮ An extension of the Bézier model ⋮ A novel extension to the polynomial basis functions describing Bézier curves and surfaces of degree \(n\) with multiple shape parameters ⋮ Curves and surfaces construction based on new basis with exponential functions ⋮ A new type of the generalized Bézier curves ⋮ A class of sextic trigonometric Bézier curve with two shape parameters ⋮ Continuity conditions for tensor product Q-Bézier surfaces of degree (\(m, n\)) ⋮ Continuity conditions for Q-Bézier curves of degree \(n\) ⋮ Curve construction based on four \(\alpha \beta\)-Bernstein-like basis functions ⋮ Approximate multidegree reduction of \(\lambda\)-Bézier curves ⋮ Construction of generalized hybrid trigonometric Bézier surfaces with shape parameters and their applications ⋮ A numerical comparative study of generalized Bernstein-Kantorovich operators ⋮ Modeling of free-form complex curves using SG-Bézier curves with constraints of geometric continuities
Uses Software
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