• Title of article

    Unknots with highly knotted control polygons

  • Author/Authors

    J. Bisceglio، نويسنده , , TJ Peters، نويسنده , , J.A. Roulier، نويسنده , , C.H. Séquin، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2011
  • Pages
    3
  • From page
    212
  • To page
    214
  • Abstract
    An example is presented of a cubic Bézier curve that is the unknot (a knot with no crossings), but whose control polygon is knotted. It is also shown that there is no upper bound on the number of crossings in the control polygon for an unknotted Bézier curve. These examples complement known upper bounds on the number of subdivisions sufficient for a control polygon to be ambient isotopic to its Bézier curve.
  • Keywords
    Bezier curves , Knots , Isotopy
  • Journal title
    Computer Aided Geometric Design
  • Serial Year
    2011
  • Journal title
    Computer Aided Geometric Design
  • Record number

    1147689

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=1147689