Detection of 3-D simple points for topology preservingtransformations with application to thinning
Saha, P.K.
Chaudhuri, B.B.
Electron. & Commun. Sci. Unit, Indian Stat. Inst., Calcutta;
This paper appears in: Pattern Analysis and Machine Intelligence, IEEE Transactions on
Publication Date: Oct 1994
Volume: 16,
Issue: 10
On page(s): 1028-1032
ISSN: 0162-8828
References Cited: 11
CODEN: ITPIDJ
INSPEC Accession Number: 4802686
Digital Object Identifier: 10.1109/34.329007
Current Version Published: 2002-08-06
Abstract
The problems of 3-D digital topology preservation under binary
transformations and 3-D object thinning are considered in this
correspondence. First, the authors establish the conditions under which
transformation of an object voxel to a non-object voxel, or its inverse
does not affect the image topology. An efficient algorithm to detect a
simple point has been proposed on the basis of those conditions. In this
connection, some other interesting properties of 3-D digital geometry
are also discussed. Using these properties and the simple point
detection algorithm, the authors have proposed an algorithm to generate
a surface-skeleton so that the topology of the original image is
preserved, the shape of the image is maintained as much as possible, and
the results are less affected by noise
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