Adjusting the energy of ball curves by modifying movable control balls

DOI10.1007/s40314-021-01460-3zbMath1476.65014OpenAlexW3135083824MaRDI QIDQ1983924

Gang Hu, Muhammad Abbas, Huanxin Cao, Hong-Chan Zheng

Publication date: 10 September 2021

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

Full work available at URL: https://doi.org/10.1007/s40314-021-01460-3

zbMATH Keywords

energy minimizationskeletonvariational design\(C^k\) continuityball curves

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 (3)

An equivalent parameter geometric shape representation using independent coordinates of cubic Bézier control points ⋮ Construction of transition surfaces with minimal generalized thin-plate spline-surface energies ⋮ The quartic Catmull-Rom spline with local adjustability and its shape optimization

Cites Work

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• Extending ball B-spline by B-spline
• Geometric Hermite curves with minimum strain energy
• Minimal-energy splines: I. Plane curves with angle constraints

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