IDEAS home Printed from https://ideas.repec.org/a/wly/jnljam/v2019y2019i1n5072676.html

Surfaces Modelling Using Isotropic Fractional‐Rational Curves

Author

Listed:
  • Igor V. Andrianov
  • Nataliia M. Ausheva
  • Yuliia B. Olevska
  • Viktor I. Olevskyi

Abstract

The problem of building a smooth surface containing given points or curves is actual due to development of industry and computer technology. Previously used for those purposes, shells of zero Gaussian curvature and minimal surfaces based on isotropic analytic curves are restricted in their consumer properties. To expand the possibilities regarding the shaping of surfaces we propose the method of constructing surfaces based on isotropic fractional‐rational curves. The surfaces are built using flat isothermal and orthogonal grids and on the basis of the Weierstrass method. In the latter case, the surfaces are minimal. Examples of surfaces that were built according to the proposed method are given.

Suggested Citation

  • Igor V. Andrianov & Nataliia M. Ausheva & Yuliia B. Olevska & Viktor I. Olevskyi, 2019. "Surfaces Modelling Using Isotropic Fractional‐Rational Curves," Journal of Applied Mathematics, John Wiley & Sons, vol. 2019(1).
    • Handle: RePEc:wly:jnljam:v:2019:y:2019:i:1:n:5072676
    DOI: 10.1155/2019/5072676
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2019/5072676
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2019/5072676?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
    ---><---

    References listed on IDEAS

    as
    1. Yoon Hyuk Kim & Mengying Wu & Kyungsoo Kim, 2013. "Stress Analysis of Osteoporotic Lumbar Vertebra Using Finite Element Model with Microscaled Beam-Shell Trabecular-Cortical Structure," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-6, May.
    2. Yoon Hyuk Kim & Mengying Wu & Kyungsoo Kim, 2013. "Stress Analysis of Osteoporotic Lumbar Vertebra Using Finite Element Model with Microscaled Beam‐Shell Trabecular‐Cortical Structure," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    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.

      More about this item

      Statistics

      Access and download statistics

      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:wly:jnljam:v:2019:y:2019:i:1:n:5072676. 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4185 .

      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.