Construction of transition surfaces with minimal generalized thin-plate spline-surface energies

DOI10.1007/s40314-022-02032-9OpenAlexW4297903085MaRDI QIDQ2085005

Huanxin Cao, Gang Hu, Xin-Qiang Qin

Publication date: 14 October 2022

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

Full work available at URL: https://doi.org/10.1007/s40314-022-02032-9

zbMATH Keywords

energy minimizationBézier surfacestransition surfacesvariational design\(C^r\) continuity

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)

Cites Work

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• Generating blend surfaces using partial differential equations
• Chebyshev-Bernstein bases
• Using partial differential equations to generate free-form surfaces
• On transforming a Tchebycheff system into a strictly totally positive system
• Adjusting the energy of ball curves by modifying movable control balls
• Geometric modeling and applications of generalized blended trigonometric Bézier curves with shape parameters
• Quintic generalized Hermite interpolation curves: construction and shape optimization using an improved GWO algorithm
• An enhanced hybrid arithmetic optimization algorithm for engineering applications
• An enhanced chimp optimization algorithm for optimal degree reduction of Said-Ball curves
• Bézier surfaces of minimal area: the Dirichlet approach
• On harmonic and biharmonic Bézier surfaces
• Mathematics of Surfaces XI

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