DocumentCode :
1022043
Title :
Second-order statistics of morphological dilation and erosion of a memoryless source
Author :
Na, Sangsin ; Choi, Tae Young
Author_Institution :
Dept. of Electron. Eng., Ajou Univ., Suwon, South Korea
Volume :
43
Issue :
10
fYear :
1995
fDate :
10/1/1995 12:00:00 AM
Firstpage :
2418
Lastpage :
2422
Abstract :
The paper shows that morphological dilation and erosion preserve strict sense stationarity, derives the 2-D probability distribution and density functions of dilated and eroded stationary memoryless sources, and presents numerical results for a memoryless uniform source, which shows identical closed-form autocovariance functions of dilated and eroded sources
Keywords :
covariance analysis; mathematical morphology; memoryless systems; probability; signal processing; 2-D probability density function; 2-D probability distribution function; closed-form autocovariance functions; dilated stationary memoryless source; eroded stationary memoryless sources; erosion; memoryless uniform source; morphological dilation; second-order statistics; strict sense stationarity; Autocorrelation; Density functional theory; Equations; Gray-scale; Morphological operations; Probability density function; Probability distribution; Random sequences; Statistical distributions; Statistics;
fLanguage :
English
Journal_Title :
Signal Processing, IEEE Transactions on
Publisher :
ieee
ISSN :
1053-587X
Type :
jour
DOI :
10.1109/78.469845
Filename :
469845
Link To Document :
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