An Empirical Performance Evaluation Technique for Discrete Second Derivative Edge Detectors

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

The problem of edge evaluation in relation to image gradient-based edge detectors has been widely studied, and there exist a range of edge evaluation techniques that are appropriate to such edge detectors. Although discrete second derivative operators often form the basis of edge detection methods, whereby zero-crossings are used to locate edge pixels, rather less attention has been paid to the development of edge evaluation techniques that are directly appropriate to zero-crossing methods. We propose a new evaluation technique that performs edge sensitivity analysis with respect to angular orientation and displacement errors for edges located by such discrete second derivative operators. The technique applies a finite element interpolation to the output values of the second derivative operator. Hence the method is used to directly evaluate edges located by a second derivative operator without the need to use a supplementary first derivative operator for gradient approximation.
LanguageEnglish
Title of host publicationUnknown Host Publication
Pages594-599
Number of pages6
DOIs
Publication statusPublished - Sep 2003
Event12th International Conference on Image Analysis and Processing (ICIAP 2003) - Mantova, Italy
Duration: 1 Sep 2003 → …

Conference

Conference12th International Conference on Image Analysis and Processing (ICIAP 2003)
Period1/09/03 → …

Fingerprint

Derivatives
Detectors
Edge detection
Sensitivity analysis
Mathematical operators
Interpolation
Pixels

Keywords

  • second derivative edge detectors
  • performance evaluation
  • zero-crossings
  • edge sensitivity analysis

Cite this

@inproceedings{23736029d93c44e79780053e0723c59d,
title = "An Empirical Performance Evaluation Technique for Discrete Second Derivative Edge Detectors",
abstract = "The problem of edge evaluation in relation to image gradient-based edge detectors has been widely studied, and there exist a range of edge evaluation techniques that are appropriate to such edge detectors. Although discrete second derivative operators often form the basis of edge detection methods, whereby zero-crossings are used to locate edge pixels, rather less attention has been paid to the development of edge evaluation techniques that are directly appropriate to zero-crossing methods. We propose a new evaluation technique that performs edge sensitivity analysis with respect to angular orientation and displacement errors for edges located by such discrete second derivative operators. The technique applies a finite element interpolation to the output values of the second derivative operator. Hence the method is used to directly evaluate edges located by a second derivative operator without the need to use a supplementary first derivative operator for gradient approximation.",
keywords = "second derivative edge detectors, performance evaluation, zero-crossings, edge sensitivity analysis",
author = "SA Coleman and BW Scotney and MG Herron",
year = "2003",
month = "9",
doi = "10.1109/ICIAP.2003.1234115",
language = "English",
pages = "594--599",
booktitle = "Unknown Host Publication",

}

Coleman, SA, Scotney, BW & Herron, MG 2003, An Empirical Performance Evaluation Technique for Discrete Second Derivative Edge Detectors. in Unknown Host Publication. pp. 594-599, 12th International Conference on Image Analysis and Processing (ICIAP 2003), 1/09/03. https://doi.org/10.1109/ICIAP.2003.1234115

An Empirical Performance Evaluation Technique for Discrete Second Derivative Edge Detectors. / Coleman, SA; Scotney, BW; Herron, MG.

Unknown Host Publication. 2003. p. 594-599.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

TY - GEN

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AU - Coleman, SA

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AU - Herron, MG

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N2 - The problem of edge evaluation in relation to image gradient-based edge detectors has been widely studied, and there exist a range of edge evaluation techniques that are appropriate to such edge detectors. Although discrete second derivative operators often form the basis of edge detection methods, whereby zero-crossings are used to locate edge pixels, rather less attention has been paid to the development of edge evaluation techniques that are directly appropriate to zero-crossing methods. We propose a new evaluation technique that performs edge sensitivity analysis with respect to angular orientation and displacement errors for edges located by such discrete second derivative operators. The technique applies a finite element interpolation to the output values of the second derivative operator. Hence the method is used to directly evaluate edges located by a second derivative operator without the need to use a supplementary first derivative operator for gradient approximation.

AB - The problem of edge evaluation in relation to image gradient-based edge detectors has been widely studied, and there exist a range of edge evaluation techniques that are appropriate to such edge detectors. Although discrete second derivative operators often form the basis of edge detection methods, whereby zero-crossings are used to locate edge pixels, rather less attention has been paid to the development of edge evaluation techniques that are directly appropriate to zero-crossing methods. We propose a new evaluation technique that performs edge sensitivity analysis with respect to angular orientation and displacement errors for edges located by such discrete second derivative operators. The technique applies a finite element interpolation to the output values of the second derivative operator. Hence the method is used to directly evaluate edges located by a second derivative operator without the need to use a supplementary first derivative operator for gradient approximation.

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KW - performance evaluation

KW - zero-crossings

KW - edge sensitivity analysis

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