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Article Details

Copyright Statement: This is an open access article licensed under a Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, even commercially as long as the original work is properly cited.

Detection of Edges Using Two-Way Nested Design

Author 1: Asim ur Rehman Khan
Author 2: Syed Muhammad Atif Saleem
Author 3: Haider Mehdi

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Digital Object Identifier (DOI) : 10.14569/IJACSA.2017.080321

Article Published in International Journal of Advanced Computer Science and Applications(IJACSA), Volume 8 Issue 3, 2017.

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Abstract: This paper implements a novel approach of identifying edges in images using a two-way nested design. The test comprises of two steps. First step is based on an F-test. The sums of square (SS) of various effects are used to extract the mean square (MS) effect of respective effects and the unknown effect considered as noise. The mean square value has a chi-square distribution. The ratio of two chi-square distributions has an F-distribution. The final decision is based on testing a hypothesis for the presence or absence of an effect. The second step is based on contrast function (CF). This test identifies the presence or absence of an edge in four directions that are horizontal, vertical, and the two diagonal directions. The test is based on Tukey’s T-test. The performance of nested design is compared with the edge detection using Sobel filter. A rigorous testing reveals that the nested design yields comparable results for images that are either free of noise or corrupted with light noise. The nested design however outperforms the Sobel filter in situations where the images are corrupted with heavy noise.

Keywords: Analysis of variance (ANOVA); Edge detection; F-test; nested design; T-test

Asim ur Rehman Khan, Syed Muhammad Atif Saleem and Haider Mehdi, “Detection of Edges Using Two-Way Nested Design” International Journal of Advanced Computer Science and Applications(IJACSA), 8(3), 2017. http://dx.doi.org/10.14569/IJACSA.2017.080321

@article{Khan2017,
title = {Detection of Edges Using Two-Way Nested Design},
journal = {International Journal of Advanced Computer Science and Applications},
doi = {10.14569/IJACSA.2017.080321},
url = {http://dx.doi.org/10.14569/IJACSA.2017.080321},
year = {2017},
publisher = {The Science and Information Organization},
volume = {8},
number = {3},
author = {Asim ur Rehman Khan and Syed Muhammad Atif Saleem and Haider Mehdi}
}


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