IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2018y2018i1n5680723.html

C1 Hermite Interpolation with PH Curves Using the Enneper Surface

Author

Listed:
  • Hyun Chol Lee
  • Jae Hoon Kong
  • Gwangil Kim

Abstract

We show that the geometric and PH‐preserving properties of the Enneper surface allow us to find PH interpolants for all regular C1 Hermite data‐sets. Each such data‐set is satisfied by two scaled Enneper surfaces, and we can obtain four interpolants on each surface. Examples of these interpolants were found to be better, in terms of bending energy and arc‐length, than those obtained using a previous PH‐preserving mapping.

Suggested Citation

  • Hyun Chol Lee & Jae Hoon Kong & Gwangil Kim, 2018. "C1 Hermite Interpolation with PH Curves Using the Enneper Surface," Abstract and Applied Analysis, John Wiley & Sons, vol. 2018(1).
    • Handle: RePEc:wly:jnlaaa:v:2018:y:2018:i:1:n:5680723
    DOI: 10.1155/2018/5680723
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2018/5680723
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2018/5680723?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. Sunhong Lee & Hyun Chol Lee & Mi Ran Lee & Seungpil Jeong & Gwang-Il Kim, 2012. "Hermite Interpolation Using Möbius Transformations of Planar Pythagorean-Hodograph Cubics," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-15, April.
    2. Sunhong Lee & Hyun Chol Lee & Mi Ran Lee & Seungpil Jeong & Gwang-Il Kim, 2012. "Hermite Interpolation Using Möbius Transformations of Planar Pythagorean‐Hodograph Cubics," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(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:jnlaaa:v:2018:y:2018:i:1:n:5680723. 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/4058 .

      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.