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Detecting and filling holes to reconstructing explicit surfaces using bicubic splines

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  • Kouibia, A.
  • Pasadas, M.

Abstract

A method of detecting and filling holes is studied in this paper by approximating an explicit surface when there is a lack of information in one or several unknown sub-domains of the bivariate function that define such surface. This approximation method is based on the minimization problem in a suitable finite-dimensional space as the bicubic splines.

Suggested Citation

  • Kouibia, A. & Pasadas, M., 2026. "Detecting and filling holes to reconstructing explicit surfaces using bicubic splines," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 248(C), pages 325-336.
    • Handle: RePEc:eee:matcom:v:248:y:2026:i:c:p:325-336
    DOI: 10.1016/j.matcom.2026.04.028
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    References listed on IDEAS

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    1. Fortes, M.A. & González, P. & Palomares, A. & Pasadas, M., 2015. "Filling holes with shape preserving conditions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 118(C), pages 198-212.
    2. Kouibia, A. & Pasadas, M., 2014. "Optimization of the parameters of surfaces by interpolating variational bicubic splines," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 102(C), pages 76-89.
    3. Foucher, Françoise & Sablonnière, Paul, 2008. "Approximating partial derivatives of first and second order by quadratic spline quasi-interpolants on uniform meshes," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 77(2), pages 202-208.
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