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Proceedings Paper

Isotopy of 6-connected digital knots
Author(s): Alasdair McAndrew; Charles F. Osborne
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Paper 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.

Paper Details

Date Published: 4 January 1995
PDF: 10 pages
Proc. SPIE 2356, Vision Geometry III, (4 January 1995); doi: 10.1117/12.198598
Show Author Affiliations
Alasdair McAndrew, Victoria Univ. of Technology (Australia)
Charles F. Osborne, Monash Univ. (Australia)

Published in SPIE Proceedings Vol. 2356:
Vision Geometry III
Robert A. Melter; Angela Y. Wu, Editor(s)

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