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Filling holes with shape preserving conditions

Author

Listed:
  • Fortes, M.A.
  • González, P.
  • Palomares, A.
  • Pasadas, M.

Abstract

Recently, several techniques have been developed to fill polygonal holes in a given surface by using C1-spline patches. Such techniques are based on the minimization of an energy functional which controls the fairness of the patch as well as its closeness to the original surface where it is known, that is, outside the hole. Nevertheless, the filling patch obtained tends to be flat due to the definition of the energy functional, so the used technique does not work properly in certain cases. Here we propose to generalize the filling method previously developed in other works in order to fill holes with some ‘shape’ conditions, i.e., in such a way that the filling patch ‘inherits’ as much as possible the shape of the original surface where it is known.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matcom:v:118:y:2015:i:c:p:198-212
    DOI: 10.1016/j.matcom.2014.12.008
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    References listed on IDEAS

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    1. Fortes, M.A. & González, P. & Pasadas, M. & Rodríguez, M.L., 2011. "A hole filling method for surfaces by using C1-Powell–Sabin splines. Estimation of the smoothing parameters," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(10), pages 2150-2160.
    2. Barrera, D. & Fortes, M.A. & González, P. & Pasadas, M., 2008. "Minimal energy Cr-surfaces on uniform Powell-Sabin type meshes," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 77(2), pages 161-169.
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    Citations

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    Cited by:

    1. Fortes, M.A. & González, P. & Palomares, A. & Rodríguez, M.L., 2019. "Filling holes using a mesh of filled curves," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 164(C), pages 78-93.
    2. Fortes, M.A. & Medina, E., 2022. "Fitting missing data by means of adaptive meshes of Bézier curves," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 191(C), pages 33-48.

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    1. Fortes, M.A. & González, P. & Palomares, A. & Rodríguez, M.L., 2019. "Filling holes using a mesh of filled curves," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 164(C), pages 78-93.
    2. Fortes, M.A. & González, P. & Pasadas, M. & Rodríguez, M.L., 2011. "A hole filling method for surfaces by using C1-Powell–Sabin splines. Estimation of the smoothing parameters," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(10), pages 2150-2160.
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    5. Fortes, M.A. & Medina, E., 2022. "Fitting missing data by means of adaptive meshes of Bézier curves," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 191(C), pages 33-48.

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