Steerable Fourier number transform with application to image encryption

被引:5
|
作者
Gondim, Marcos A. A. [1 ]
de Oliveira Neto, Jose R. [1 ]
Lima, Juliano B. [1 ]
机构
[1] Univ Fed Pernambuco, Dept Elect & Syst, Ave Arquitetura S-N,Cidade Univ, BR-50740550 Recife, PE, Brazil
关键词
Number-theoretic transforms; Steerable transforms; Graph signal processing; Image encryption; DISCRETE FRACTIONAL FOURIER; THEORETIC TRANSFORMS; COSINE; MAP; GENERATORS; ALGORITHM; HARTLEY;
D O I
10.1016/j.image.2019.01.008
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
this paper, we introduce the steerable Fourier number transform (SFNT). It corresponds to a generalization of the well-known number-theoretic transform (NTT), obtained by applying a finite field rotation to pairs of vectors taken from the original Fourier-like NTT basis. We provide illustrative examples regarding the SFNT construction and propose an image encryption scheme based on the new transform; the principle of the method is to use the angles of the referred rotations as secret parameters. We demonstrate that the proposed scheme is resistant against the main cryptographic attacks, although it is simpler than other transform-based image encryption techniques.
引用
收藏
页码:89 / 95
页数:7
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