Research on Image Denoising in Edge Detection Based on Wavelet Transform

Photographing images is used as a common detection tool during the process of bridge maintenance. The edges in an image can provide a lot of valuable information, but the detection and extraction of edge details are often affected by the image noise. This study proposes an algorithm for wavelet tran...

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Main Authors: Ning You, Libo Han, Daming Zhu, Weiwei Song
Format: Article
Language:English
Published: MDPI AG 2023-01-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/13/3/1837
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author Ning You
Libo Han
Daming Zhu
Weiwei Song
author_facet Ning You
Libo Han
Daming Zhu
Weiwei Song
author_sort Ning You
collection DOAJ
description Photographing images is used as a common detection tool during the process of bridge maintenance. The edges in an image can provide a lot of valuable information, but the detection and extraction of edge details are often affected by the image noise. This study proposes an algorithm for wavelet transform to denoise the image before edge detection, which can improve the signal-to-noise ratio of the image and retain as much edge information as possible. In this study, four wavelet functions and four decomposition levels are used to decompose the image, filter the coefficients and reconstruct the image. The <i>PSNR</i> and <i>MSE</i> of the denoised images were compared, and the results showed that the sym5 wavelet function with three-level decomposition has the best overall denoising performance, in which the <i>PSNR</i> and <i>MSE</i> of the denoised images were 23.48 dB and 299.49, respectively. In this study, the canny algorithm was used to detect the edges of the images, and the detection results visually demonstrate the difference between before and after denoising. In order to further evaluate the denoising performance, this study also performed edge detection on images processed by both wavelet transform and the current widely used Gaussian filter, and it calculated the Pratt quality factor of the edge detection results, which were 0.53 and 0.47, respectively. This indicates that the use of wavelet transform to remove noise is more beneficial to the improvement of the subsequent edge detection results.
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spelling doaj.art-55ae9f2889b844a3b05466d0c080bef22023-11-16T16:11:08ZengMDPI AGApplied Sciences2076-34172023-01-01133183710.3390/app13031837Research on Image Denoising in Edge Detection Based on Wavelet TransformNing You0Libo Han1Daming Zhu2Weiwei Song3Faculty of Land Resources Engineering, Kunming University of Science and Technology, Kunming 650093, ChinaPLA Army Academy of Artillery and Air Defense, Zhengzhou 450000, ChinaFaculty of Land Resources Engineering, Kunming University of Science and Technology, Kunming 650093, ChinaFaculty of Land Resources Engineering, Kunming University of Science and Technology, Kunming 650093, ChinaPhotographing images is used as a common detection tool during the process of bridge maintenance. The edges in an image can provide a lot of valuable information, but the detection and extraction of edge details are often affected by the image noise. This study proposes an algorithm for wavelet transform to denoise the image before edge detection, which can improve the signal-to-noise ratio of the image and retain as much edge information as possible. In this study, four wavelet functions and four decomposition levels are used to decompose the image, filter the coefficients and reconstruct the image. The <i>PSNR</i> and <i>MSE</i> of the denoised images were compared, and the results showed that the sym5 wavelet function with three-level decomposition has the best overall denoising performance, in which the <i>PSNR</i> and <i>MSE</i> of the denoised images were 23.48 dB and 299.49, respectively. In this study, the canny algorithm was used to detect the edges of the images, and the detection results visually demonstrate the difference between before and after denoising. In order to further evaluate the denoising performance, this study also performed edge detection on images processed by both wavelet transform and the current widely used Gaussian filter, and it calculated the Pratt quality factor of the edge detection results, which were 0.53 and 0.47, respectively. This indicates that the use of wavelet transform to remove noise is more beneficial to the improvement of the subsequent edge detection results.https://www.mdpi.com/2076-3417/13/3/1837edge detectionwavelet transformwavelet functioncannyPratt quality factor
spellingShingle Ning You
Libo Han
Daming Zhu
Weiwei Song
Research on Image Denoising in Edge Detection Based on Wavelet Transform
Applied Sciences
edge detection
wavelet transform
wavelet function
canny
Pratt quality factor
title Research on Image Denoising in Edge Detection Based on Wavelet Transform
title_full Research on Image Denoising in Edge Detection Based on Wavelet Transform
title_fullStr Research on Image Denoising in Edge Detection Based on Wavelet Transform
title_full_unstemmed Research on Image Denoising in Edge Detection Based on Wavelet Transform
title_short Research on Image Denoising in Edge Detection Based on Wavelet Transform
title_sort research on image denoising in edge detection based on wavelet transform
topic edge detection
wavelet transform
wavelet function
canny
Pratt quality factor
url https://www.mdpi.com/2076-3417/13/3/1837
work_keys_str_mv AT ningyou researchonimagedenoisinginedgedetectionbasedonwavelettransform
AT libohan researchonimagedenoisinginedgedetectionbasedonwavelettransform
AT damingzhu researchonimagedenoisinginedgedetectionbasedonwavelettransform
AT weiweisong researchonimagedenoisinginedgedetectionbasedonwavelettransform