An encrypted image editing scheme based on homomorphic encryption

Abstract

There are lots of online image applications which provide image editor services for users. As the plain image may disclose privacy, this paper proposed an encrypted image editing scheme based on homomorphic encryption to make the service be able to process the encrypted image. To achieve this, firstly, a homomorphic encryption scheme was constructed for encrypting the pixels of image. Then, after translating the traditional image editing methods into the operations on encrypted pixels, the encrypted image can be edited homomorphically. The experiments show that our scheme is correct, secure and efficient enough to be used in practical applications.

A Speech Homomorphic Encryption Scheme with Less Data Expansion in Cloud Computing

“…Short time average energy of encrypted speech of two frames is given by Eq. (19), where , 2 n n h h J × × > ⋅ . The energy derivation of this statement is also given by Eq.…”

“…The energy derivation of this statement is also given by Eq. (19), from which it can be seen that the short-time average energy of cipher-texts is much larger than the plaintexts. Comparing Eq.…”

“…It is because the homomorphic encryption data can be processed by the third party, a few researches on image homomorphic encryption [16][17][18][19][20][21] and speech homomorphic encryption [22][23] are proposed. In [16][17][18], the original images are encrypted by Paillier homomorphic cryptosystem, and secret data is embedded in the encrypted images by using homomorphic and probabilistic properties of Paillier cryptosystem.…”