Computing the writhing number of a polygonal knot


Journal Article

The writhing number measures the global geometry of a closed space curve or knot. We show that this measure is related to the average winding number of its Gauss map. Using this relationship, we give an algorithm for computing the writhing number for a polygonal knot with n edges in time roughly proportional to n1.6. We also implement a different, simple algorithm and provide experimental evidence for its practical efficiency.

Full Text

Duke Authors

Cited Authors

  • Agarwal, PK; Edelsbrunner, H; Wang, Y

Published Date

  • January 1, 2004

Published In

Volume / Issue

  • 32 / 1

Start / End Page

  • 37 - 53

International Standard Serial Number (ISSN)

  • 0179-5376

Digital Object Identifier (DOI)

  • 10.1007/s00454-004-2864-x

Citation Source

  • Scopus