IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v13y2025i14p2304-d1704905.html
   My bibliography  Save this article

Physically Informed Synthetic Data Generation and U-Net Generative Adversarial Network for Palimpsest Reconstruction

Author

Listed:
  • Jose L. Salmeron

    (School of Engineering, CUNEF University, 28040 Madrid, Spain)

  • Eva Fernandez-Palop

    (Department of Arts, Universidad de Zaragoza, 44003 Teruel, Spain)

Abstract

This paper introduces a novel adversarial learning framework for reconstructing hidden layers in historical palimpsests. Recovering text hidden in historical palimpsests is complicated by various artifacts, such as ink diffusion, degradation of the writing substrate, and interference between overlapping layers. To address these challenges, the authors of this paper combine a synthetic data generator grounded in physical modeling with three generative architectures: a baseline VAE, an improved variant with stronger regularization, and a U-Net-based GAN that incorporates residual pathways and a mixed loss strategy. The synthetic data engine aims to emulate key degradation effects—such as ink bleeding, the irregularity of parchment fibers, and multispectral layer interactions—using stochastic approximations of underlying physical processes. The quantitative results suggest that the U-Net-based GAN architecture outperforms the VAE-based models by a notable margin, particularly in scenarios with heavy degradation or overlapping ink layers. By relying on synthetic training data, the proposed method facilitates the non-invasive recovery of lost text in culturally important documents, and does so without requiring costly or specialized imaging setups.

Suggested Citation

  • Jose L. Salmeron & Eva Fernandez-Palop, 2025. "Physically Informed Synthetic Data Generation and U-Net Generative Adversarial Network for Palimpsest Reconstruction," Mathematics, MDPI, vol. 13(14), pages 1-21, July.
  • Handle: RePEc:gam:jmathe:v:13:y:2025:i:14:p:2304-:d:1704905
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/13/14/2304/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/13/14/2304/
    Download Restriction: no
    ---><---

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:13:y:2025:i:14:p:2304-:d:1704905. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.