An enhanced chimp optimization algorithm for optimal degree reduction of Said-Ball curves

DOI10.1016/j.matcom.2022.01.018OpenAlexW4211039922WikidataQ114149917 ScholiaQ114149917MaRDI QIDQ2139877

Yanyan Li

Publication date: 19 May 2022

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2022.01.018

zbMATH Keywords

degree reductionCuckoo searchchimp optimization algorithmSaid-Ball curvesselective opposition based learning

Mathematics Subject Classification ID

Numerical analysis (65-XX) Operations research, mathematical programming (90-XX)

Related Items (6)

Quadratic interpolation boosted black widow spider-inspired optimization algorithm with wavelet mutation ⋮ MCSA: multi-strategy boosted chameleon-inspired optimization algorithm for engineering applications ⋮ IYDSE: ameliorated Young's double-slit experiment optimizer for applied mechanics and engineering ⋮ Hybrid chameleon swarm algorithm with multi-strategy: a case study of degree reduction for disk Wang-ball curves ⋮ DTCSMO: an efficient hybrid starling murmuration optimizer for engineering applications ⋮ Construction of transition surfaces with minimal generalized thin-plate spline-surface energies

Uses Software

• ABC
• Aquila optimizer
• WOA
• MPA
• GWO
• ALO
• GOA

Cites Work

• Constrained approximation of rational Bézier curves based on a matrix expression of its end points continuity condition
• The geometry of optimal degree reduction of Bézier curves
• Optimal multi-degree reduction of Bézier curves with \(G^2\)-continuity
• Shape preserving properties of the generalised Ball basis
• A simple matrix form for degree reduction of Bézier curves using Chebyshev-Bernstein basis transformations
• Application of Chebyshev II-Bernstein basis transformations to degree reduction of Bézier curves
• Properties of generalized Ball curves and surfaces
• The dual basis functions for the generalized Ball basis of odd degree
• Degree reduction of Bézier curves by uniform approximation with endpoint interpolation
• Constrained polynomial degree reduction in the \(L_2\)-norm equals best weighted Euclidean approximation of Bézier coefficients
• A generalized Ball curve and its recursive algorithm
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