On the edge location error for local maximum and zero-crossing edge detectors

Author

Koplowitz, Jack ; Greco, Vito

Author_Institution

Dept. of Electr. & Comput. Eng., Clarkson Univ., Potsdam, NY, USA

Volume

16

Issue

12

fYear

1994

fDate

12/1/1994 12:00:00 AM

Firstpage

1207

Lastpage

1212

Abstract

Examines the localization criterion for edge detection and determine the probability density function describing the edge location error. Canny (1986) defines the measure of localization as the reciprocal of the root-mean-square edge location error and formulates an expression of this measure for local maximum detectors. However, Tagare and deFigueiredo (1990) point out that an incorrect assumption is made in the calculation. The same procedure is used by Sarkar and Boyer (1991) for their localization measure for zero-crossing detectors. We modify the analysis and obtain a closed-form solution of the probability density function of the edge location error. Examination of the density function indicates the variance of the edge location error does not exist, and hence cannot be used directly as a measure of localization

Keywords

edge detection; errors; feature extraction; image segmentation; probability; closed-form solution; edge location error; feature extraction; image processing; image segmentation; local maximum detectors; localization criterion; localization measure; probability density function; root-mean-square error; variance; zero-crossing edge detectors; Closed-form solution; Convolution; Density functional theory; Density measurement; Detectors; Feature extraction; Filters; Image edge detection; Lifting equipment; Probability density function;

fLanguage

English

Journal_Title

Pattern Analysis and Machine Intelligence, IEEE Transactions on

Publisher

ieee

ISSN

0162-8828

Type

jour

DOI

10.1109/34.387487

Filename

387487