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    Area of Science:

    • Computer Vision
    • Signal Processing
    • Machine Learning

    Background:

    • Deep learning for 2D image denoising is established, but hyperspectral image (HSI) denoising faces challenges.
    • High computational complexity and the need for universal 3D training datasets hinder end-to-end deep learning for HSI denoising.

    Purpose of the Study:

    • To develop an efficient hyperspectral image denoising framework for mixed Gaussian impulse noise removal.
    • To overcome the limitations of end-to-end deep learning by proposing a CNN-constrained non-negative matrix factorization (NMF) approach.

    Main Methods:

    • Modeled HSI denoising as a CNN-constrained NMF problem.
    • Utilized proximal alternating linearized minimization for optimization, involving spectral matrix update, abundance matrix update, and sparse noise estimation.
    • Designed a CNN architecture with two training schemes enabling training on 2D image datasets.

    Main Results:

    • The proposed method demonstrates effective removal of Gaussian and mixed Gaussian impulse noises.
    • Achieved comparable or superior performance against state-of-the-art denoising methods.
    • The trained CNN model can denoise HSIs with varying channel numbers after a single training session on 2D data.

    Conclusions:

    • The CNN-constrained NMF framework offers a practical and efficient solution for HSI denoising.
    • The ability to train on 2D datasets significantly reduces computational complexity and data requirements.
    • This approach provides a versatile tool for HSI noise reduction across different spectral resolutions.