IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v191y2022icp33-48.html
   My bibliography  Save this article

Fitting missing data by means of adaptive meshes of Bézier curves

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475421002755
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2021.07.025?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    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. & Pasadas, M. & Sbibih, D. & Serghini, A. & Tijini, A., 2011. "Variational trivariate fitting using Worsey–Piper macro elements on tetrahedral partitions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(10), pages 2161-2173.
    3. 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.
    4. 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.
    5. 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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:matcom:v:191:y:2022:i:c:p:33-48. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.