Salt and Pepper Noise Removal Method Based on a Detail-Aware Filter
The median-type filter is an effective technique to remove salt and pepper (SAP) noise; however, such a mechanism cannot always effectively remove noise and preserve details due to the local diversity singularity and local non-stationarity. In this paper, a two-step SAP removal method was proposed b...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-03-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/13/3/515 |
| _version_ | 1797540509642653696 |
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| author | Hu Liang Na Li Shengrong Zhao |
| author_facet | Hu Liang Na Li Shengrong Zhao |
| author_sort | Hu Liang |
| collection | DOAJ |
| description | The median-type filter is an effective technique to remove salt and pepper (SAP) noise; however, such a mechanism cannot always effectively remove noise and preserve details due to the local diversity singularity and local non-stationarity. In this paper, a two-step SAP removal method was proposed based on the analysis of the median-type filter errors. In the first step, a median-type filter was used to process the image corrupted by SAP noise. Then, in the second step, a novel-designed adaptive nonlocal bilateral filter is used to weaken the error of the median-type filter. By building histograms of median-type filter errors, we found that the error almost obeys Gaussian–Laplacian mixture distribution statistically. Following this, an improved bilateral filter was proposed to utilize the nonlocal feature and bilateral filter to weaken the median-type filter errors. In the proposed filter, (1) the nonlocal strategy is introduced to improve the bilateral filter, and the intensity similarity is measured between image patches instead pixels; (2) a novel norm based on half-quadratic estimation is used to measure the image patch- spatial proximity and intensity similarity, instead of fixed L<sub>1</sub> and L<sub>2</sub> norms; (3) besides, the scale parameters, which were used to control the behavior of the half-quadratic norm, were updated based on the local image feature. Experimental results showed that the proposed method performed better compared with the state-of-the-art methods. |
| first_indexed | 2024-03-10T13:02:16Z |
| format | Article |
| id | doaj.art-af099443c3b241b68ce2b6667924d44c |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T13:02:16Z |
| publishDate | 2021-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-af099443c3b241b68ce2b6667924d44c2023-11-21T11:26:26ZengMDPI AGSymmetry2073-89942021-03-0113351510.3390/sym13030515Salt and Pepper Noise Removal Method Based on a Detail-Aware FilterHu Liang0Na Li1Shengrong Zhao2College of Computer Science and Technology, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250023, ChinaShandong Computer Science Center (National Supercomputing Center in Jinan), Jinan 250101, ChinaCollege of Computer Science and Technology, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250023, ChinaThe median-type filter is an effective technique to remove salt and pepper (SAP) noise; however, such a mechanism cannot always effectively remove noise and preserve details due to the local diversity singularity and local non-stationarity. In this paper, a two-step SAP removal method was proposed based on the analysis of the median-type filter errors. In the first step, a median-type filter was used to process the image corrupted by SAP noise. Then, in the second step, a novel-designed adaptive nonlocal bilateral filter is used to weaken the error of the median-type filter. By building histograms of median-type filter errors, we found that the error almost obeys Gaussian–Laplacian mixture distribution statistically. Following this, an improved bilateral filter was proposed to utilize the nonlocal feature and bilateral filter to weaken the median-type filter errors. In the proposed filter, (1) the nonlocal strategy is introduced to improve the bilateral filter, and the intensity similarity is measured between image patches instead pixels; (2) a novel norm based on half-quadratic estimation is used to measure the image patch- spatial proximity and intensity similarity, instead of fixed L<sub>1</sub> and L<sub>2</sub> norms; (3) besides, the scale parameters, which were used to control the behavior of the half-quadratic norm, were updated based on the local image feature. Experimental results showed that the proposed method performed better compared with the state-of-the-art methods.https://www.mdpi.com/2073-8994/13/3/515salt and peppermedian-type filterbilateral filternonlocal |
| spellingShingle | Hu Liang Na Li Shengrong Zhao Salt and Pepper Noise Removal Method Based on a Detail-Aware Filter Symmetry salt and pepper median-type filter bilateral filter nonlocal |
| title | Salt and Pepper Noise Removal Method Based on a Detail-Aware Filter |
| title_full | Salt and Pepper Noise Removal Method Based on a Detail-Aware Filter |
| title_fullStr | Salt and Pepper Noise Removal Method Based on a Detail-Aware Filter |
| title_full_unstemmed | Salt and Pepper Noise Removal Method Based on a Detail-Aware Filter |
| title_short | Salt and Pepper Noise Removal Method Based on a Detail-Aware Filter |
| title_sort | salt and pepper noise removal method based on a detail aware filter |
| topic | salt and pepper median-type filter bilateral filter nonlocal |
| url | https://www.mdpi.com/2073-8994/13/3/515 |
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