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Fitting missing data by means of adaptive meshes of Bézier curves

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  • Fortes, M.A.
  • Medina, E.

Abstract

In this paper we present a method to fit missing data – i.e., to fit a dataset containing a region in which no data are provided – by means of a C1-quadratic patch. Such a patch is constructed to faithfully extend the shape and the geometric features of the dataset. To this end, a mesh of curves gathering the information about the shape of the dataset will be considered and extended to the interior of the hole. Next, a (unique) patch fitting such a mesh of curves will be computed. Several numerical and graphical examples showing the effectiveness of the proposed method are provided.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matcom:v:191:y:2022:i:c:p:33-48
    DOI: 10.1016/j.matcom.2021.07.025
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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. 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.
    3. 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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    Cited by:

    1. Abdelouahed Kouibia & Miguel Pasadas & Loubna Omri, 2024. "A Shape-Preserving Variational Spline Approximation Problem for Hole Filling in Generalized Offset Surfaces," Mathematics, MDPI, vol. 12(11), pages 1-11, June.

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