Image edge detection operators based on orthogonal polynomials

Orthogonal polynomials (OPs) are beneficial for image processing. OPs are used to reflect an image or a scene to a moment domain, and moments are subsequently used to extract object contours utilised in various applications. In this study, OP-based edge detection operators are introduced to replace...

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Main Authors: Abdulhussain, Sadiq H., Ramli, Abd Rahman, Mahmmod, Basheera M., Sy Mohamed, Sy Abd Rahman Al-haddad, Jassim, Wissam A.
Format: Article
Language:English
Published: Taylor & Francis 2017
Online Access:http://psasir.upm.edu.my/id/eprint/62082/1/Image%20edge%20detection%20operators%20based%20on%20orthogonal%20polynomials.pdf
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author Abdulhussain, Sadiq H.
Ramli, Abd Rahman
Mahmmod, Basheera M.
Sy Mohamed, Sy Abd Rahman Al-haddad
Jassim, Wissam A.
author_facet Abdulhussain, Sadiq H.
Ramli, Abd Rahman
Mahmmod, Basheera M.
Sy Mohamed, Sy Abd Rahman Al-haddad
Jassim, Wissam A.
author_sort Abdulhussain, Sadiq H.
collection UPM
description Orthogonal polynomials (OPs) are beneficial for image processing. OPs are used to reflect an image or a scene to a moment domain, and moments are subsequently used to extract object contours utilised in various applications. In this study, OP-based edge detection operators are introduced to replace traditional convolution-based and block processing methods with direct matrix multiplication. A mathematical model with empirical study results is established to investigate the performance of the proposed detectors compared with that of traditional algorithms, such as Sobel and Canny operators. The proposed operators are then evaluated by using entire images from a well-known data set. Experimental results reveal that the proposed operator achieves a more favourable interpretation, especially for images distorted by motion effects, than traditional methods do.
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spelling upm.eprints-620822019-03-25T02:16:07Z http://psasir.upm.edu.my/id/eprint/62082/ Image edge detection operators based on orthogonal polynomials Abdulhussain, Sadiq H. Ramli, Abd Rahman Mahmmod, Basheera M. Sy Mohamed, Sy Abd Rahman Al-haddad Jassim, Wissam A. Orthogonal polynomials (OPs) are beneficial for image processing. OPs are used to reflect an image or a scene to a moment domain, and moments are subsequently used to extract object contours utilised in various applications. In this study, OP-based edge detection operators are introduced to replace traditional convolution-based and block processing methods with direct matrix multiplication. A mathematical model with empirical study results is established to investigate the performance of the proposed detectors compared with that of traditional algorithms, such as Sobel and Canny operators. The proposed operators are then evaluated by using entire images from a well-known data set. Experimental results reveal that the proposed operator achieves a more favourable interpretation, especially for images distorted by motion effects, than traditional methods do. Taylor & Francis 2017 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/62082/1/Image%20edge%20detection%20operators%20based%20on%20orthogonal%20polynomials.pdf Abdulhussain, Sadiq H. and Ramli, Abd Rahman and Mahmmod, Basheera M. and Sy Mohamed, Sy Abd Rahman Al-haddad and Jassim, Wissam A. (2017) Image edge detection operators based on orthogonal polynomials. International Journal of Image and Data Fusion, 8 (3). 293 - 308. ISSN 1947-9832; ESSN: 1947-9824 https://www.tandfonline.com/doi/abs/10.1080/19479832.2017.1326405?journalCode=tidf20 10.1080/19479832.2017.1326405
spellingShingle Abdulhussain, Sadiq H.
Ramli, Abd Rahman
Mahmmod, Basheera M.
Sy Mohamed, Sy Abd Rahman Al-haddad
Jassim, Wissam A.
Image edge detection operators based on orthogonal polynomials
title Image edge detection operators based on orthogonal polynomials
title_full Image edge detection operators based on orthogonal polynomials
title_fullStr Image edge detection operators based on orthogonal polynomials
title_full_unstemmed Image edge detection operators based on orthogonal polynomials
title_short Image edge detection operators based on orthogonal polynomials
title_sort image edge detection operators based on orthogonal polynomials
url http://psasir.upm.edu.my/id/eprint/62082/1/Image%20edge%20detection%20operators%20based%20on%20orthogonal%20polynomials.pdf
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