• DocumentCode
    3105820
  • Title

    On evolute cusps and skeleton bifurcations

  • Author

    Belyaev, Alexander ; Yoshizawa, Shin

  • Author_Institution
    Aizu Univ., Japan
  • fYear
    2001
  • fDate
    37012
  • Firstpage
    134
  • Lastpage
    140
  • Abstract
    Consider a 2D smooth closed curve evolving in time, the skeleton (medial axis) of the figure bounded by the curve, and the evolute of the curve. A new branch of the skeleton can appear/disappear when an evolute cusp intersects the skeleton. In this paper, we describe exact conditions of the skeleton bifurcations corresponding to such intersections. Similar results are also obtained for 3D surfaces evolving in time
  • Keywords
    bifurcation; computational geometry; mathematical morphology; bounded medial axis; evolute cusps; evolving 2D smooth closed curve; evolving 3D surfaces; exact conditions; skeleton bifurcations; skeleton branches; Bifurcation; Humans; Java; Marine animals; Shape; Skeleton; Taylor series;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Shape Modeling and Applications, SMI 2001 International Conference on.
  • Conference_Location
    Genova
  • Print_ISBN
    0-7695-0853-7
  • Type

    conf

  • DOI
    10.1109/SMA.2001.923384
  • Filename
    923384
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3105820