IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-540-27157-4_9.html
   My bibliography  Save this book chapter

Polynomial C2 Spline Surfaces Guided by Rational Multisided Patches

In: Computational Methods for Algebraic Spline Surfaces

Author

Listed:
  • Kȩstutis Karčciauskas

    (Vilnius University)

  • Jörg Peters

    (University of Florida)

Abstract

An algorithm is presented for approximating a rational multi-sided M-patch by a C2 spline surface. The motivation is that the multi-sided patch can be assumed to have good shape but is in nonstandard representation or of too high a degree. The algorithm generates a finite approximation of the M-patch, by a sequence of patches of bidegree (5,5) capped off by patches of bidegree (11,11) surrounding the extraordinary point. The philosophy of the approach is (i) that intricate reparametrizations are permissible if they improve the surface parametrization since they can be precomputed and thereby do not reduce the time efficiency at runtime: and (ii) that high patch degree is acceptable if the shape is controlled by a guiding patch.

Suggested Citation

  • Kȩstutis Karčciauskas & Jörg Peters, 2005. "Polynomial C2 Spline Surfaces Guided by Rational Multisided Patches," Springer Books, in: Computational Methods for Algebraic Spline Surfaces, pages 119-134, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-27157-4_9
    DOI: 10.1007/3-540-27157-0_9
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:spr:sprchp:978-3-540-27157-4_9. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.