STOC '87 Proceedings of the nineteenth annual ACM symposium on Theory of computing
A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
ACM-SE 36 Proceedings of the 36th annual Southeast regional conference
Handbook of Applied Cryptography
Handbook of Applied Cryptography
PKC '01 Proceedings of the 4th International Workshop on Practice and Theory in Public Key Cryptography: Public Key Cryptography
Robust Real-Time Face Detection
International Journal of Computer Vision
Protection and retrieval of encrypted multimedia content: when cryptography meets signal processing
EURASIP Journal on Information Security
Fully homomorphic encryption using ideal lattices
Proceedings of the forty-first annual ACM symposium on Theory of computing
Privacy-Preserving Face Recognition
PETS '09 Proceedings of the 9th International Symposium on Privacy Enhancing Technologies
On the implementation of the discrete Fourier transform in the encrypted domain
IEEE Transactions on Information Forensics and Security
Public-key cryptosystems based on composite degree residuosity classes
EUROCRYPT'99 Proceedings of the 17th international conference on Theory and application of cryptographic techniques
Composite signal representation for fast and storage-efficient processing of encrypted signals
IEEE Transactions on Information Forensics and Security
Efficient privacy-preserving face recognition
ICISC'09 Proceedings of the 12th international conference on Information security and cryptology
A buyer-seller watermarking protocol
IEEE Transactions on Image Processing
Proceedings of the 20th ACM international conference on Multimedia
IH'12 Proceedings of the 14th international conference on Information Hiding
An efficient image homomorphic encryption scheme with small ciphertext expansion
Proceedings of the 21st ACM international conference on Multimedia
An improved algorithm for reversible data hiding in encrypted image
IWDW'12 Proceedings of the 11th international conference on Digital Forensics and Watermaking
| Hi-index | 0.00 |
Signal processing in the encrypted domain is a new technology for protecting valuable signals from insecure signal processing. Although there has been some research in the area, this field of research is still in its infancy. In this paper, we propose a scheme for implementing discrete wavelet transform (DWT) and multi-resolution analysis (MRA) in a homomorphic encrypted domain. We first suggest a framework for performing DWT and inverse discrete wavelet transform (IDWT) in the encrypted domain and then conduct an analysis of data expansion and quantization errors on the framework. In order to solve the problem of data expansion, which is very important in practical applications, we then present a novel method for reducing data expansion in the case that both DWT and IDWT are performed. With the proposed method, multi-level DWT/IDWT can be performed with less data expansion in a homomorphic encrypted domain. We address the case of a two-dimensional Haar wavelet transform and give some experiments to demonstrate the advantages of our improved method. To the best of our knowledge, this is the first paper on the implementation of DWT and MRA in the encrypted domain.