Optical image encryption based on multifractional Fourier transforms

Zhu, Banghe; Liu, Shutian; Ran, Qiwen

doi:10.1364/ol.25.001159

Cited by 178 publications

(68 citation statements)

References 12 publications

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“…In order to discard noise in signal, scholars domestic and abroad have carried on many years of research, and the de-noising methods such as Fourier transform [1][2][3] and wavelet transform [4,5] were proposed. However, although the stationary signal can be de-noised by Fourier transform well, but this method can hardly identify the high frequency part and noise of the signal, which is not conducive to the analysis of non-stationary signals.…”

Section: Introductionmentioning

confidence: 99%

Research on consumption prediction of spare parts based on fuzzy C-means clustering algorithm and fractional order model

Chen¹,

Gao²,

XiaoBo³

et al. 2017

Vib. proced.

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Abstract. In order to achieve the non-stationary de-noising signal effectively, and to solve the prediction of less sample, a hybrid model composed of FCCA (Fuzzy C-means clustering algorithm) and FOM (Fractional Order Model) was constructed. The degree of each data point was determined by FCCA to de-noise and the order cumulative matrix was extended to fractional cumulative matrix, so that the fractional order cumulative grey model was established to make forecasting. The results of numerical example showed that the hybrid model can obtain better prediction accuracy.

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Section: Introductionmentioning

confidence: 99%

Research on consumption prediction of spare parts based on fuzzy C-means clustering algorithm and fractional order model

Chen¹,

Gao²,

XiaoBo³

et al. 2017

Vib. proced.

View full text Add to dashboard Cite

show abstract

“…The significant feature of fractional Fourier transform and cosine domain image compression benefits from its extra degree of freedom that is provided by their fractional orders [5]. The FRFT based encryption systems reveals higher security by varying transform order to enlarge the key space [6,7,8,9,10,11,12,13,14,15,16].…”

Section: Introductionmentioning

confidence: 99%

Hybrid Encryption-Compression Scheme Based on Multiple Parameter Discrete Fractional Fourier Transform with Eigen Vector Decomposition Algorithm

Sharma¹,

Saxena²,

Singh³

2014

IJCNIS

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Abstract-Encryption along with compression is the process used to secure any multimedia content processing with minimum data storage and transmission. The transforms plays vital role for optimizing any encryptioncompression systems. Earlier the original information in the existing security system based on the fractional Fourier transform (FRFT) is protected by only a certain order of FRFT. In this article, a novel method for encryption-compression scheme based on multiple parameters of discrete fractional Fourier transform (DFRFT) with random phase matrices is proposed. The multiple-parameter discrete fractional Fourier transform (MPDFRFT) possesses all the desired properties of discrete fractional Fourier transform. The MPDFRFT converts to the DFRFT when all of its order parameters are the same. We exploit the properties of multipleparameter DFRFT and propose a novel encryptioncompression scheme using the double random phase in the MPDFRFT domain for encryption and compression data. The proposed scheme with MPDFRFT significantly enhances the data security along with image quality of decompressed image compared to DFRFT and FRFT and it shows consistent performance with different images. The numerical simulations demonstrate the validity and efficiency of this scheme based on Peak signal to noise ratio (PSNR), Compression ratio (CR) and the robustness of the schemes against bruit force attack is examined.

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“…Thus, it has shown its potential in the fields of the image processing and the optical encryption. Using the transform order to enlarge the key space, the systems based on the FRFT are of a higher security [5][6][7][8][9][10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

“…In the past twenty years, a number of optical encryption methods have been proposed by the various researchers in [6][7][8][9][10][11][12][13][14][15] and . Among them, the most widely used and highly successful optical encryption scheme is double random phase encoding proposed by Refregier and Javidi [23].…”

Section: Introductionmentioning

confidence: 99%

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A Novel Image Encryption Scheme based on Multiple Parameter Discrete Fractional Fourier Transform

Sharma¹,

Saxena²

2014

IJCA

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Security is one of the most challenging aspects in internet and Multimedia applications. Encryption is a process which is used to secure data. The Encryption algorithms and suitable transforms play a crucial role to form efficient security systems. In this regard the original information in the existing security system based on the fractional Fourier transform (FRFT) is protected by only a certain order of FRFT. In this paper, we propose a novel method to encrypt an image by using multiple parameters discrete fractional Fourier transform (DFRFT) with random phase matrices. The multiple-parameter discrete fractional Fourier transform (MPDFRFT) possesses all the desired properties of discrete fractional Fourier transform. The MPDFRFT converts to the DFRFT when all of its order parameters are the same. We exploit the properties of multiple-parameter DFRFT and propose a novel encryption scheme using the double random phase in the MPDFRFT domain for encrypting digital data. The proposed encoding scheme with MPDFRFT significantly enhances the data security compared to DFRFT and FRFT and it shows consistent performance with different images. The scheme offers a high degree of resistance towards bruteforce attack.

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Optical image encryption based on multifractional Fourier transforms

Cited by 178 publications

References 12 publications

Research on consumption prediction of spare parts based on fuzzy C-means clustering algorithm and fractional order model

Research on consumption prediction of spare parts based on fuzzy C-means clustering algorithm and fractional order model

Hybrid Encryption-Compression Scheme Based on Multiple Parameter Discrete Fractional Fourier Transform with Eigen Vector Decomposition Algorithm

A Novel Image Encryption Scheme based on Multiple Parameter Discrete Fractional Fourier Transform

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