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    Area of Science:

    • Remote Sensing
    • Signal Processing
    • Computer Vision

    Background:

    • Hyperspectral image unmixing is crucial for interpreting hyperspectral data.
    • Traditional linear unmixing methods often overlook intra-class spectral variability.
    • Existing algorithms based on convex geometry may lack robustness when variability is present.

    Purpose of the Study:

    • To analyze the robustness of classical hyperspectral unmixing tools under spectral variability.
    • To propose an improved unmixing chain addressing limitations of linear models.
    • To validate the extended linear mixing model for hyperspectral data.

    Main Methods:

    • Analysis of intrinsic dimensionality, endmember extraction, and pixel purity under a prescribed variability model.
    • Development of an integrated unmixing chain based on an extended linear mixing model.
    • Validation using simulated and real-world hyperspectral datasets.

    Main Results:

    • Classical convex geometry-based unmixing tools show limitations when intra-class spectral variability is significant.
    • The proposed extended linear mixing model and integrated unmixing chain demonstrate improved performance.
    • The approach effectively handles spectral variability in both simulated and real hyperspectral data.

    Conclusions:

    • Traditional hyperspectral unmixing techniques require adaptation to account for spectral variability.
    • The proposed extended linear mixing model offers a more robust framework for hyperspectral image analysis.
    • The integrated unmixing chain provides a promising solution for accurate unmixing in the presence of intra-class variability.