Sobel Edge Detection Based on Weighted Nuclear Norm Minimization Image Denoising

As a classic and effective edge detection operator, the Sobel operator has been widely used in image segmentation and other image processing technologies. This operator has obvious advantages in the speed of extracting the edge of images, but it also has the disadvantage that the detection effect is...

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Main Authors: Run Tian, Guiling Sun, Xiaochao Liu, Bowen Zheng
Format: Article
Language:English
Published: MDPI AG 2021-03-01
Series:Electronics
Subjects:
Online Access:https://www.mdpi.com/2079-9292/10/6/655
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author Run Tian
Guiling Sun
Xiaochao Liu
Bowen Zheng
author_facet Run Tian
Guiling Sun
Xiaochao Liu
Bowen Zheng
author_sort Run Tian
collection DOAJ
description As a classic and effective edge detection operator, the Sobel operator has been widely used in image segmentation and other image processing technologies. This operator has obvious advantages in the speed of extracting the edge of images, but it also has the disadvantage that the detection effect is not ideal when the image contains noise. In order to solve this problem, this paper proposes an optimized scheme for edge detection. In this scheme, the weighted nuclear norm minimization (WNNM) image denoising algorithm is combined with the Sobel edge detection algorithm, and the excellent denoising performance of the WNNM algorithm in a noise environment is utilized to improve the anti-noise performance of the Sobel operator. The experimental results show that the optimization algorithm can obtain better detection results when processing noisy images, and the advantages of the algorithm become more obvious with the increase of noise intensity.
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spelling doaj.art-bac768d97ce94e348827504debc126dc2023-11-21T10:03:38ZengMDPI AGElectronics2079-92922021-03-0110665510.3390/electronics10060655Sobel Edge Detection Based on Weighted Nuclear Norm Minimization Image DenoisingRun Tian0Guiling Sun1Xiaochao Liu2Bowen Zheng3College of Electronic Information and Optical Engineering, Nankai University, Tianjin 300350, ChinaCollege of Electronic Information and Optical Engineering, Nankai University, Tianjin 300350, ChinaCollege of Electronic Information and Optical Engineering, Nankai University, Tianjin 300350, ChinaCollege of Electronic Information and Optical Engineering, Nankai University, Tianjin 300350, ChinaAs a classic and effective edge detection operator, the Sobel operator has been widely used in image segmentation and other image processing technologies. This operator has obvious advantages in the speed of extracting the edge of images, but it also has the disadvantage that the detection effect is not ideal when the image contains noise. In order to solve this problem, this paper proposes an optimized scheme for edge detection. In this scheme, the weighted nuclear norm minimization (WNNM) image denoising algorithm is combined with the Sobel edge detection algorithm, and the excellent denoising performance of the WNNM algorithm in a noise environment is utilized to improve the anti-noise performance of the Sobel operator. The experimental results show that the optimization algorithm can obtain better detection results when processing noisy images, and the advantages of the algorithm become more obvious with the increase of noise intensity.https://www.mdpi.com/2079-9292/10/6/655Sobel operatorweighted nuclear norm minimizationimage denoisingedge detection
spellingShingle Run Tian
Guiling Sun
Xiaochao Liu
Bowen Zheng
Sobel Edge Detection Based on Weighted Nuclear Norm Minimization Image Denoising
Electronics
Sobel operator
weighted nuclear norm minimization
image denoising
edge detection
title Sobel Edge Detection Based on Weighted Nuclear Norm Minimization Image Denoising
title_full Sobel Edge Detection Based on Weighted Nuclear Norm Minimization Image Denoising
title_fullStr Sobel Edge Detection Based on Weighted Nuclear Norm Minimization Image Denoising
title_full_unstemmed Sobel Edge Detection Based on Weighted Nuclear Norm Minimization Image Denoising
title_short Sobel Edge Detection Based on Weighted Nuclear Norm Minimization Image Denoising
title_sort sobel edge detection based on weighted nuclear norm minimization image denoising
topic Sobel operator
weighted nuclear norm minimization
image denoising
edge detection
url https://www.mdpi.com/2079-9292/10/6/655
work_keys_str_mv AT runtian sobeledgedetectionbasedonweightednuclearnormminimizationimagedenoising
AT guilingsun sobeledgedetectionbasedonweightednuclearnormminimizationimagedenoising
AT xiaochaoliu sobeledgedetectionbasedonweightednuclearnormminimizationimagedenoising
AT bowenzheng sobeledgedetectionbasedonweightednuclearnormminimizationimagedenoising