4 January 1995 Isotopy of 6-connected digital knots
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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.
© (1995) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Alasdair McAndrew, Alasdair McAndrew, Charles F. Osborne, Charles F. Osborne, } "Isotopy of 6-connected digital knots", Proc. SPIE 2356, Vision Geometry III, (4 January 1995); doi: 10.1117/12.198598; https://doi.org/10.1117/12.198598
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