Reliability-based \(G^1\) continuous arc spline approximation

DOI10.1016/j.cagd.2024.102363zbMATH Open1547.65022MaRDI QIDQ6592893

Jinhwan Jeon, Seibum B. Choi, Yoonjin Hwang

Publication date: 26 August 2024

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

zbMATH Keywords

optimizationreliabilityconstrained nonlinear least squares\(G^1\) continuityarc splines

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical optimization and variational techniques (65K10) Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

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• On the criterion, that a given system of deviations from the probable in the case of a correlated system of variables is such that it can be reasonably supposed to have arisen from random sampling.
• Approximating smooth planar curves by arc splines
• Numerical methods for approximating digitized curves by piecewise circular arcs
• Curve reconstruction from unorganized points
• Circular spline fitting using an evolution process
• Optimal arc spline approximation
• BIARC APPROXIMATION, SIMPLIFICATION AND SMOOTHING OF POLYGONAL CURVES BY MEANS OF VORONOI-BASED TOLERANCE BANDS
• An Interior Trust Region Approach for Nonlinear Minimization Subject to Bounds

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