Approximation of minimum energy curves

DOI10.1016/S0096-3003(99)00012-0zbMath1022.65013OpenAlexW2086467671MaRDI QIDQ1569162

Ruibin Qu, Jieping Ye

Publication date: 25 June 2000

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(99)00012-0

zbMATH Keywords

splinecurve fittingpolynomial interpolationcubic spline interpolationinterpolatory subdivision algorithmsexponential spline interpolationminimal energy curvepolynomial least squares approximation

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical smoothing, curve fitting (65D10) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Numerical interpolation (65D05)

Related Items (1)

The theoretical analysis and algorithm on a class of optimal curve fitting problems

Cites Work

• A 4-point interpolatory subdivision scheme for curve design
• Interpolation with interval and point tension controls using cubic weighted v -splines
• Minimal-energy splines: I. Plane curves with angle constraints
• The Curve of Least Energy
• An Interpolation Curve Using a Spline in Tension
• Variational Study of Nonlinear Spline Curves
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