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Detection of 3-D Simple Points for Topology Preserving Transformations with Application to Thinning
October 1994 (vol. 16 no. 10)
pp. 1028-1032
ASCII Text
x 
 
P.K. Saha, B.B. Chaudhuri, "Detection of 3-D Simple Points for Topology Preserving Transformations with Application to Thinning," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 16, no. 10, pp. 1028-1032, October, 1994.
 
 
BibTex
x
 
@article{ 10.1109/34.329007,
author = {P.K. Saha and B.B. Chaudhuri},
title = {Detection of 3-D Simple Points for Topology Preserving Transformations with Application to Thinning},
journal ={IEEE Transactions on Pattern Analysis and Machine Intelligence},
volume = {16},
number = {10},
issn = {0162-8828},
year = {1994},
pages = {1028-1032},
doi = {http://doi.ieeecomputersociety.org/10.1109/34.329007},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - JOUR
JO - IEEE Transactions on Pattern Analysis and Machine Intelligence
TI - Detection of 3-D Simple Points for Topology Preserving Transformations with Application to Thinning
IS - 10
SN - 0162-8828
SP1028
EP1032
EPD - 1028-1032
A1 - P.K. Saha,
A1 - B.B. Chaudhuri,
PY - 1994
KW - computational geometry; image processing; topology; 3-D simple points; 3-D digital topology preservation; binary transformations; 3-D object thinning; object voxel; nonobject voxel; 3-D digital geometry; point detection algorithm; surface-skeleton
VL - 16
JA - IEEE Transactions on Pattern Analysis and Machine Intelligence
ER -
 

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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[8] P. K. Saha and B. B. Chaudhuri, "Simple point computation and 3-D thinning with parallel implementation," TR/KBCS/1/93, N.C.K.B.C.S. Library, Indian Statistical Inst., Calcutta, India, 1993.
[9] J. I. Toriwaki, S. Yokoi, T. Yonekura, and T. Fukumura, "Topological properties and topology-preserving transformation of a three-dimensional binary picture," inProc. 6th Int. Conf. Pattern Recogn., pp. 414-419, 1982.
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Index Terms:
computational geometry; image processing; topology; 3-D simple points; 3-D digital topology preservation; binary transformations; 3-D object thinning; object voxel; nonobject voxel; 3-D digital geometry; point detection algorithm; surface-skeleton
Citation:
P.K. Saha, B.B. Chaudhuri, "Detection of 3-D Simple Points for Topology Preserving Transformations with Application to Thinning," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 16, no. 10, pp. 1028-1032, Oct. 1994, doi:10.1109/34.329007
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