Paper 2025/1942 Original: eprint.iacr.org/2025/1942 ↗

Privacy-Preserving Shape Matching with Leveled Homomorphic Encryption

Agha Aghayev
Yadigar Imamverdiyev
Abstract

Homomorphic Encryption (HE) allows parties to securely outsource data while enabling computation on encrypted data, protect- ing against malicious parties and data leakages. More recent HE schemes enable approximate arithmetic on complex vectors and approximation of non-linear functions, specifically useful for image processing algorithms. The Fourier Shape Descriptor (FSD) is a classical method for shape matching via frequency-domain representation, and we show that FSD can be computed entirely in the encrypted domain. To the best of our knowledge, this is the first work to implement secure shape descriptors and matching via HE. We also present two experiments for similar and different shapes, and measure the performance of the encrypted algo- rithm.

Metadata
Available format(s)
PDF
Category
Applications
Publication info
Preprint.
History
2025-10-17: last updated
2025-10-17: published
Short URL
https://ia.cr/2025/1942
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2025/1942,
      author = {Agha Aghayev and Yadigar Imamverdiyev},
      title = {Privacy-Preserving Shape Matching with Leveled Homomorphic Encryption},
      howpublished = {Cryptology {ePrint} Archive, Paper 2025/1942},
      year = {2025},
      url = {https://eprint.iacr.org/2025/1942}
}
Note: In order to protect the privacy of readers, this archive does not use cookies or embedded third party content.