• DocumentCode
    1956358
  • Title

    Construct G1 Smooth Surface by Using Triangular Gregory Patches

  • Author

    Yang, Long ; He, Dongjian ; Zhang, Zhiyi

  • Author_Institution
    Coll. of Inf. Eng., Northwest A&F Univ., Shaanxi, China
  • fYear
    2009
  • fDate
    20-23 Sept. 2009
  • Firstpage
    577
  • Lastpage
    580
  • Abstract
    In order to interpolate a given triangle mesh into G1 smooth surface, in this paper, a new bi-cubic triangular Gregory patch is used. It guarantees G1 continuity along common boundary only depending on boundary control points and corresponding interior control points of two adjacent triangular meshes. Some interpolated examples demonstrate that global G1 smooth surfaces can be easily constructed by using the new bi-cubic triangular Gregory patch.
  • Keywords
    computational geometry; interpolation; mesh generation; G1 smooth surface; adjacent triangular meshes; bi-cubic triangular Gregory patches; boundary control points; interior control points; triangle mesh interpolation; Animation; Application software; Assembly; Educational institutions; Equations; Graphics; Helium; Interpolation; Reverse engineering; Shape; G1 continuity; Gregory patch; free-form surface; triangle mesh;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Image and Graphics, 2009. ICIG '09. Fifth International Conference on
  • Conference_Location
    Xi´an, Shanxi
  • Print_ISBN
    978-1-4244-5237-8
  • Type

    conf

  • DOI
    10.1109/ICIG.2009.55
  • Filename
    5437949
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1956358