Isotopy of 6-connected digital knots

Alasdair McAndrew; Charles F. Osborne

doi:10.1117/12.198598

4 January 1995 Isotopy of 6-connected digital knots

Alasdair McAndrew, Charles F. Osborne

Proceedings Volume 2356, Vision Geometry III; (1995) https://doi.org/10.1117/12.198598
Event: Photonics for Industrial Applications, 1994, Boston, MA, United States

Abstract

Investigation of the topological nature of digitized knot structures is necessary for laying the foundations of a theory for dealing with the processing of such images. Images containing knots arise, for example, in the electron microscopy of DNA and RNA. The classical theory of knots is well developed, and one important result is that two knots are equivalent if their planar representations can be deformed into each other by a sequence of knot moves. We show here that digital knots, suitably defined, can be considered equal if they can be deformed into each other by a sequence of digital moves.

Citation Download Citation

Alasdair McAndrew and Charles F. Osborne "Isotopy of 6-connected digital knots", Proc. SPIE 2356, Vision Geometry III, (4 January 1995); https://doi.org/10.1117/12.198598

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