Probabilistic comparisons of morphological dilation and erosion with their equivalent linear shift-invariant systems in the case of a memoryless uniform source

Author

Na, Sangsin

Author_Institution

Dept. of Electr. & Electron. Eng., Ajou Univ., Suwon, South Korea

Volume

46

Issue

11

fYear

1998

fDate

11/1/1998 12:00:00 AM

Firstpage

3092

Lastpage

3099

Abstract

This correspondence compares dilation and erosion with their spectrally equivalent affine-linear shift-invariant system in probabilistic characteristics in the case of a memoryless uniform source. The equivalent system, which is derived through spectral factorization, turns out to be of a finite-impulse-response filter and has a much smoother probability density than dilation

Keywords

FIR filters; mathematical morphology; matrix decomposition; memoryless systems; equivalent linear shift-invariant systems; erosion; finite-impulse-response filter; memoryless uniform source; morphological dilation; probabilistic comparisons; probability density; spectral factorization; spectrally equivalent affine-linear shift-invariant system; Approximation algorithms; Biomedical signal processing; Convolution; Filtering algorithms; Finite impulse response filter; Interpolation; Least squares approximation; Matrix decomposition; Signal processing algorithms; Signal sampling;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.726822

Filename

726822