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    Area of Science:

    • Computer Vision
    • Artificial Intelligence
    • Digital Image Processing

    Background:

    • Traditional image alignment methods require overlapping regions or common boundaries.
    • Real-world scenarios, like artifact restoration, often present image fragments with significant gaps and no overlap.
    • Unsupervised alignment of such fragmented data is a challenging, yet crucial, problem.

    Purpose of the Study:

    • To develop an unsupervised, self-supervised method for learning the alignment of image fragments without common boundaries or overlapping regions.
    • To address the specific challenge of aligning fragmented archaeological artifacts such as frescoes and mosaics.
    • To leverage inner image statistics for accurate alignment in the absence of external guidance.

    Main Methods:

    • A self-supervised approach generating 'self-examples' from existing image fragments.
    • Utilizing an adversarial neural network, specifically a spatial transformer Generative Adversarial Network (GAN).
    • Sub-fragmentation of initial fragments to expose new alignment relations and inner feature statistics, feeding these into the GAN.

    Main Results:

    • Demonstrated capability to learn alignment for image fragments with gaps in a self-supervised manner.
    • Successful application on both synthetic datasets and large-scale real-world data (frescoes and mosaics).
    • Validation of the hypothesis that inner image statistics are sufficient for accurate alignment.

    Conclusions:

    • The proposed self-supervised method effectively aligns deteriorated image fragments without requiring overlap or common boundaries.
    • The technique offers a viable solution for the unsupervised restoration of fragmented cultural heritage.
    • Inner image statistics provide a powerful signal for learning spatial transformations in a self-supervised context.