Least squares fitting of piecewise algebraic curves

DOI10.1155/2007/78702zbMath1143.65317OpenAlexW2068644308MaRDI QIDQ936238

Ren-Hong Wang, Chun-Gang Zhu

Publication date: 13 August 2008

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/54443

zbMATH Keywords

numerical examplescurve fittingleast squaresgraphical examples

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical smoothing, curve fitting (65D10) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (3)

Progressive iterative approximation for regularized least square bivariate B-spline surface fitting ⋮ Incorporating a local binary fitting model into a maximum regional difference model for extracting microscopic information under complex conditions ⋮ Nöther-type theorem of piecewise algebraic curves on quasi-cross-cut partition

Cites Work

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• The dimension and basis of spaces of multivariate splines
• Energy formulations of \(A\)-splines
• Cayley-Bacharach theorem of piecewise algebraic curves.
• Least-squares fitting of algebraic spline surfaces
• A-splines: local interpolation and approximation using \(G^k\)-continuous piecewise real algebraic curves
• Curve reconstruction from unorganized points
• Lagrange interpolation by bivariate splines on cross-cut partitions
• Nöther-type theorem of piecewise algebraic curves
• Improving the stability of algebraic curves for applications

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