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    Area of Science:

    • Computer Vision
    • Image Processing
    • Signal Processing

    Background:

    • Image textures contain crucial high-frequency variations vital for human visual perception.
    • Preserving these fine details, especially in stochastic or small-scale textures, remains a challenge for current denoising algorithms.
    • State-of-the-art methods often use nonlocal approaches but struggle with texture fidelity.

    Purpose of the Study:

    • To develop an image denoising technique that effectively preserves texture variations.
    • To improve upon existing nonlocal denoising methods by enhancing texture preservation capabilities.
    • To address the limitations of current algorithms in handling high-frequency texture details.

    Main Methods:

    • An adaptive clustering method for grouping image patches with similar texture elements (texels).
    • An over-clustering-and-iterative-merging approach to enhance noise robustness in patch grouping.
    • A proposed PCA-transform-domain variation adaptive filtering method to preserve local texture variations within principal component analysis (PCA) coefficients.

    Main Results:

    • The proposed method demonstrates superior texture-preserving denoising compared to traditional PCA-based filtering techniques.
    • Experiments show significant improvements in both quantitative and visual evaluations, particularly for irregular textures.
    • The effectiveness is validated through denoising natural images and camera raw images.

    Conclusions:

    • The developed denoising method offers favorable texture-preserving performance.
    • The novel PCA-transform-domain filtering effectively captures and preserves local texture variations.
    • The approach shows promise for applications requiring high-fidelity texture retention in image denoising.