Topology preservation in 3D digital space

In a 3D two-tone digital space, the conditions under which sequential transformation of an object point to a non-object point, or its inverse, does not affect the image topology are investigated. The concept of border-connectivity is introduced and an efficient algorithm for checking a simple point...

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Bibliographic Details
Published in:Pattern recognition 1994-02, Vol.27 (2), p.295-300
Main Authors: Saha, P.K, Chaudhuri, B.B, Chanda, B, Dutta Majumder, D
Format: Article
Language:English
Subjects:
3D binary image processing
3D digital topology
Applied sciences
Artificial intelligence
Binary transformation
Border-connectivity
Computer science
control theory
systems
Exact sciences and technology
Pattern recognition. Digital image processing. Computational geometry
Simple point
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Summary:In a 3D two-tone digital space, the conditions under which sequential transformation of an object point to a non-object point, or its inverse, does not affect the image topology are investigated. The concept of border-connectivity is introduced and an efficient algorithm for checking a simple point is proposed. In this connection, some other interesting properties of 3D digital geometry are also discussed. This investigation may be used in thinning and topology preserving morphological transformations in 3D digital space.
ISSN:0031-3203
1873-5142
DOI:10.1016/0031-3203(94)90060-4