Detail-preserving denoising of CT and MRI images via adaptive clustering and non-local means algorithm
Abstract Medical imaging systems such as computed tomography (CT) and magnetic resonance imaging (MRI) are vital tools in clinical diagnosis and treatment planning. However, these modalities are inherently susceptible to Gaussian noise introduced during image acquisition, leading to degraded image q...
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Nature Portfolio
2025-07-01
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| Series: | Scientific Reports |
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| Online Access: | https://doi.org/10.1038/s41598-025-08034-x |
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| author | Mohit Sharma Ayush Dogra Bhawna Goyal Anita Gupta Manob Jyoti Saikia |
| author_facet | Mohit Sharma Ayush Dogra Bhawna Goyal Anita Gupta Manob Jyoti Saikia |
| author_sort | Mohit Sharma |
| collection | DOAJ |
| description | Abstract Medical imaging systems such as computed tomography (CT) and magnetic resonance imaging (MRI) are vital tools in clinical diagnosis and treatment planning. However, these modalities are inherently susceptible to Gaussian noise introduced during image acquisition, leading to degraded image quality and impaired visualization of critical anatomical structures. Effective denoising is therefore essential to enhance diagnostic accuracy while preserving fine details such as tissue textures and structural boundaries. This study proposes a robust and efficient denoising framework specifically designed for CT and MRI images corrupted by Gaussian noise. The method integrates a cluster-wise principal component analysis (PCA) thresholding approach guided by the Marchenko–Pastur (MP) law from random matrix theory and a non-local means algorithm. Noise level estimation is achieved globally by analysing the statistical distribution of eigenvalues from noisy image patch matrices and leveraging the MP law to accurately determine the Gaussian noise variance. An adaptive clustering technique is employed to group similar patches based on underlying features such as textures and edges and enables localized denoising operations tailored to heterogeneous image regions. Within each cluster denoising is performed in two stages where initially hard thresholding based on the MP law is applied to the singular values in the SVD domain to obtain a low-rank approximation that preserves essential image content while removing noise-dominated components. Residual noise in the low-rank matrix is then further suppressed through a coefficient-wise linear minimum mean square error LMMSE estimator in the PCA transform domain. Finally, a non-local means algorithm refines the denoised image by computing weighted averages of pixel intensities and prioritizing neighbourhood similarity over spatial proximity to effectively preserve edges and textures while reducing Gaussian noise. Experimental evaluations on CT and MRI datasets demonstrate that the proposed method achieves superior denoising performance while maintaining high structural similarity and perceptual quality compared to existing state-of-the-art approaches. The method demonstrates adaptability noise reduction capability and preservation of anatomical detail that make it well suited for precision critical medical imaging applications. |
| format | Article |
| id | doaj-art-aa44db30966e49069b92da32fa50c124 |
| institution | DOAJ |
| issn | 2045-2322 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-aa44db30966e49069b92da32fa50c1242025-08-20T03:03:42ZengNature PortfolioScientific Reports2045-23222025-07-0115112210.1038/s41598-025-08034-xDetail-preserving denoising of CT and MRI images via adaptive clustering and non-local means algorithmMohit Sharma0Ayush Dogra1Bhawna Goyal2Anita Gupta3Manob Jyoti Saikia4Department of Allied Health Sciences, Chitkara School of Health Sciences, Chitkara UniversityChitkara University Institute of Engineering and Technology, Chitkara UniversityBiomedical Sensors & Systems Lab, University of MemphisDepartment of Allied Health Sciences, Chitkara School of Health Sciences, Chitkara UniversityBiomedical Sensors & Systems Lab, University of MemphisAbstract Medical imaging systems such as computed tomography (CT) and magnetic resonance imaging (MRI) are vital tools in clinical diagnosis and treatment planning. However, these modalities are inherently susceptible to Gaussian noise introduced during image acquisition, leading to degraded image quality and impaired visualization of critical anatomical structures. Effective denoising is therefore essential to enhance diagnostic accuracy while preserving fine details such as tissue textures and structural boundaries. This study proposes a robust and efficient denoising framework specifically designed for CT and MRI images corrupted by Gaussian noise. The method integrates a cluster-wise principal component analysis (PCA) thresholding approach guided by the Marchenko–Pastur (MP) law from random matrix theory and a non-local means algorithm. Noise level estimation is achieved globally by analysing the statistical distribution of eigenvalues from noisy image patch matrices and leveraging the MP law to accurately determine the Gaussian noise variance. An adaptive clustering technique is employed to group similar patches based on underlying features such as textures and edges and enables localized denoising operations tailored to heterogeneous image regions. Within each cluster denoising is performed in two stages where initially hard thresholding based on the MP law is applied to the singular values in the SVD domain to obtain a low-rank approximation that preserves essential image content while removing noise-dominated components. Residual noise in the low-rank matrix is then further suppressed through a coefficient-wise linear minimum mean square error LMMSE estimator in the PCA transform domain. Finally, a non-local means algorithm refines the denoised image by computing weighted averages of pixel intensities and prioritizing neighbourhood similarity over spatial proximity to effectively preserve edges and textures while reducing Gaussian noise. Experimental evaluations on CT and MRI datasets demonstrate that the proposed method achieves superior denoising performance while maintaining high structural similarity and perceptual quality compared to existing state-of-the-art approaches. The method demonstrates adaptability noise reduction capability and preservation of anatomical detail that make it well suited for precision critical medical imaging applications.https://doi.org/10.1038/s41598-025-08034-xCT imagingMRI imagingImage denoisingGaussian noiseNon-local meansRandom matrix theory |
| spellingShingle | Mohit Sharma Ayush Dogra Bhawna Goyal Anita Gupta Manob Jyoti Saikia Detail-preserving denoising of CT and MRI images via adaptive clustering and non-local means algorithm Scientific Reports CT imaging MRI imaging Image denoising Gaussian noise Non-local means Random matrix theory |
| title | Detail-preserving denoising of CT and MRI images via adaptive clustering and non-local means algorithm |
| title_full | Detail-preserving denoising of CT and MRI images via adaptive clustering and non-local means algorithm |
| title_fullStr | Detail-preserving denoising of CT and MRI images via adaptive clustering and non-local means algorithm |
| title_full_unstemmed | Detail-preserving denoising of CT and MRI images via adaptive clustering and non-local means algorithm |
| title_short | Detail-preserving denoising of CT and MRI images via adaptive clustering and non-local means algorithm |
| title_sort | detail preserving denoising of ct and mri images via adaptive clustering and non local means algorithm |
| topic | CT imaging MRI imaging Image denoising Gaussian noise Non-local means Random matrix theory |
| url | https://doi.org/10.1038/s41598-025-08034-x |
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