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
fDate :
10/1/1995 12:00:00 AM
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;
Journal_Title :
Signal Processing, IEEE Transactions on
