Quintic generalized Hermite interpolation curves: construction and shape optimization using an improved GWO algorithm

DOI10.1007/s40314-022-01813-6zbMath1499.65048OpenAlexW4293118171MaRDI QIDQ2125906

Xiaomin Ji, Gang Hu, Jiaoyue Zheng, Xin-Qiang Qin

Publication date: 14 April 2022

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-022-01813-6

zbMATH Keywords

shape optimizationshape parameter\(C^2\) continuityI-GWO algorithmquintic generalized Hermite interpolation curve

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical smoothing, curve fitting (65D10) Computer science aspects of computer-aided design (68U07) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (6)

Algorithms for computing the approximation of offsets of toric Bézier curves ⋮ Shape analysis and fairness metric of generalized fractional Bézier curve ⋮ MCSA: multi-strategy boosted chameleon-inspired optimization algorithm for engineering applications ⋮ Cubic trigonometric Hermite interpolation curve: construction, properties, and shape optimization ⋮ Hybrid chameleon swarm algorithm with multi-strategy: a case study of degree reduction for disk Wang-ball curves ⋮ Construction of transition surfaces with minimal generalized thin-plate spline-surface energies

Uses Software

• GWO

Cites Work

• Unnamed Item
• Geometric construction of energy-minimizing Béezier curves
• Planar quintic \(G^2\) Hermite interpolation with minimum strain energy
• Rational splines for Hermite interpolation with shape constraints
• \(C^d\) Hermite interpolations with spatial Pythagorean hodograph B-splines
• Geometric modeling and applications of generalized blended trigonometric Bézier curves with shape parameters
• Solution of Benjamin-Bona-Mahony-Burgers equation using collocation method with quintic Hermite splines
• Shape-adjustable generalized Bézier surfaces: construction and it is geometric continuity conditions
• The \(G^2\) and \(C^2\) rational quadratic trigonometric Bézier curve with two shape parameters with applications
• Rational Hermite interpolation on six-tuples and scattered data

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