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Geometric properties of the union of maximal neighborhoods
February 1989 (vol. 11 no. 2)
pp. 214,215,216,217
ASCII Text
x 
 
"Geometric properties of the union of maximal neighborhoods," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 11, no. 2, pp. 214,215,216,217, February, 1989.
 
 
BibTex
x
 
@article{ 10.1109/34.16718,
author = {},
title = {Geometric properties of the union of maximal neighborhoods},
journal ={IEEE Transactions on Pattern Analysis and Machine Intelligence},
volume = {11},
number = {2},
issn = {0162-8828},
year = {1989},
pages = {214,215,216,217},
doi = {http://doi.ieeecomputersociety.org/10.1109/34.16718},
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 - Geometric properties of the union of maximal neighborhoods
IS - 2
SN - 0162-8828
SP
EP
EPD - 214,215,216,217
PY - 1989
KW - optimisation
KW - computational geometry
KW - computerised picture processing
KW - local maxima
KW - computerised picture processing
KW - digital images
KW - computational geometry
KW - maximal neighborhoods
KW - discrete medial axis transform
KW - Discrete transforms
KW - Topology
KW - Pattern analysis
KW - Machine intelligence
VL - 11
JA - IEEE Transactions on Pattern Analysis and Machine Intelligence
ER -
 
The problem of computing area and perimeter of a digital figure presented by its discrete medial axis transform (MAT) is addressed. The figure is seen as the union of the square-shaped maximal neighborhoods centered on the local maxima of the MAT. The contribution given by each maximal neighborhood to figure area and perimeter is computed while tracing the MAT. Multiple overlaps among the maximal neighborhoods are possible. However, due to the properties of the local maxima and their associated maximal neighborhoods a single tracing of the MAT is provided to be sufficient to obtain the desired result. Thus, the procedure requires O(N) time, where N is the number of MAT pixels.<>

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Index Terms:
optimisation,computational geometry,computerised picture processing,local maxima,computerised picture processing,digital images,computational geometry,maximal neighborhoods,discrete medial axis transform,Discrete transforms,Topology,Pattern analysis,Machine intelligence
Citation:
"Geometric properties of the union of maximal neighborhoods," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 11, no. 2, pp. 214,215,216,217, Feb. 1989, doi:10.1109/34.16718
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