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Efficient approximation of minimum energy curves with interpolatory constraints

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Publication:1569177
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DOI10.1016/S0096-3003(99)00006-5zbMath1023.65008OpenAlexW2004415167MaRDI QIDQ1569177

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)00006-5


zbMATH Keywords

interpolationalgorithmnumerical examplesexponential splinescubic splinesgraphical examplessubdivision methodminimal energy curve


Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05)


Related Items (2)

Curvature variation minimizing cubic Hermite interpolants ⋮ Fairing of parametric cubic splines.



Cites Work

  • A 4-point interpolatory subdivision scheme for curve design
  • A new approach to numerical differentiation and integration
  • 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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