IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v164y2019icp78-93.html
   My bibliography  Save this article

Filling holes using a mesh of filled curves

Author

Listed:
  • Fortes, M.A.
  • González, P.
  • Palomares, A.
  • Rodríguez, M.L.

Abstract

The objective of this work is to fill graphics of surfaces with hole-meeting shape conditions, i.e., we want to determine values of a surface inside a hole – where it is not defined – by means of its values outside the hole – where it is properly defined – in such a way that the final reconstructed surface be fair and smooth enough. The procedure considered to get this aim is based on a one-dimensional hole-filling problem, leading to a kind of “wireframe” surface. We develop the theoretical aspects of the problem and we show some graphical examples to illustrate the proposed method.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matcom:v:164:y:2019:i:c:p:78-93
    DOI: 10.1016/j.matcom.2018.12.012
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037847541830332X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2018.12.012?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. & 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. Fortes, M.A. & González, P. & Pasadas, M. & Rodríguez, M.L., 2014. "A hole filling method for explicit and parametric surfaces by using C1-Powell Sabin splines," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 99(C), pages 71-81.
    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.
    4. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.

    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. & 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. & 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.
    3. 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.
    4. 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.
    5. 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.

    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:164:y:2019:i:c:p:78-93. 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.