Construction of PH splines based on H-Bézier curves
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Publication:275226
DOI10.1016/j.amc.2014.04.033zbMath1334.65046OpenAlexW1994028879MaRDI QIDQ275226
Guo Wei, Yang Yang, Gang Hu, Xin-Qiang Qin
Publication date: 25 April 2016
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2014.04.033
Numerical computation using splines (65D07) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)
Related Items (9)
Approximate multi-degree reduction of Q-Bézier curves via generalized Bernstein polynomial functions ⋮ Algebraic and geometric characterizations of a class of algebraic-hyperbolic Pythagorean-hodograph curves ⋮ Shape modification for \(\lambda\)-Bézier curves based on constrained optimization of position and tangent vector ⋮ Offset approximation of hybrid hyperbolic polynomial curves ⋮ On \(G^1\) and \(G^2\) Hermite interpolation by spatial algebraic-trigonometric Pythagorean hodograph curves with polynomial parametric speed ⋮ Extended SQ-Coons surface and its application on fairing automobile surface design ⋮ Constructing local controlled developable H-Bézier surfaces by interpolating characteristic curves ⋮ Continuity conditions for Q-Bézier curves of degree \(n\) ⋮ Approximate multidegree reduction of \(\lambda\)-Bézier curves
Cites Work
- Pythagorean-hodograph curves in Euclidean spaces of dimension greater than 3
- On control polygons of quartic Pythagorean-hodograph curves
- \(C^1\) Hermite interpolation with PH curves by boundary data modification
- \(C^1\) Hermite interpolation with spatial Pythagorean-hodograph cubic biarcs
- Pythagorean-hodograph preserving mappings
- Planar cubic hybrid hyperbolic polynomial curve and its shape classification
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