Paper 2025/1942

Privacy-Preserving Shape Matching with Leveled Homomorphic Encryption

Agha Aghayev, Azerbaijan Technical University
Yadigar Imamverdiyev, Azerbaijan Technical University
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.
Keywords
CryptographyHomomorphic EncryptionFourier DescriptorPrivacy-PreservingEncrypted Computation
Contact author(s)
agayevagha @ gmail com
yadigar imamverdiyev @ aztu edu az
History
2025-10-20: approved
2025-10-17: received
See all versions
Short URL
https://ia.cr/2025/1942
License
Creative Commons Attribution
CC BY

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}
}
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