• DocumentCode
    2085813
  • Title

    Detecting Ambiguities in 3D Polygons with Self-Intersecting Projections

  • Author

    Li, Weishi

  • Author_Institution
    Sch. of Instrum. Sci., Hefei Univ. of Technol., Hefei, China
  • fYear
    2011
  • fDate
    15-17 Sept. 2011
  • Firstpage
    11
  • Lastpage
    16
  • Abstract
    If a given 3D polygon has a self-intersecting projection which can bound several in equivalent disk-like surfaces in space, we say the polygon is ambiguous. In this paper, we propose a decomposition scheme for 3D polygons using Gauss diagrams from knot theory, and use it to detect ambiguities of 3D polygons.
  • Keywords
    computational geometry; 3D polygon; Gauss diagram; ambiguity detection; decomposition scheme; knot theory; polygon self-intersecting projection; Design automation; Image segmentation; Joining processes; Shape; Surface treatment; Three dimensional displays; Windings; 3D polygon; Ambiguity; Decompostion; Gauss diagram;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer-Aided Design and Computer Graphics (CAD/Graphics), 2011 12th International Conference on
  • Conference_Location
    Jinan
  • Print_ISBN
    978-1-4577-1079-7
  • Type

    conf

  • DOI
    10.1109/CAD/Graphics.2011.31
  • Filename
    6062759
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2085813