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Nonlocal image editing.

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    Area of Science:

    • Computer Vision
    • Image Processing
    • Computational Mathematics

    Background:

    • Global filters derived from image affinities can approximate image properties.
    • The Nyström extension provides an efficient approximation for computing these filters.
    • Eigenvectors of the filter represent multiscale image decompositions.

    Purpose of the Study:

    • Introduce a new image editing tool.
    • Leverage global filter spectrum for image manipulation.
    • Enable capabilities like edge-aware sharpening, denoising, and tone manipulation.

    Main Methods:

    • Computed a global filter from image affinities.
    • Approximated the filter using the Nyström extension.
    • Mapped eigenvalues with a polynomial function for editing.

    Main Results:

    • Developed a tool for edge-aware sharpening, denoising, and tone manipulation.
    • Demonstrated that eigenvectors capture multiscale image details.
    • Showcased the ability to propagate edits across the image.

    Conclusions:

    • The proposed method offers a powerful and versatile approach to image editing.
    • The technique effectively utilizes spectral properties for diverse image manipulations.
    • Edits are easily applied and propagated, enhancing usability.