Sum Calculus and the Discrete Transforms Methods

1996 ◽  
pp. 41-137
Author(s):  
Abdul J. Jerri
Keyword(s):  
Discrete Transforms

scholarly journals Systolic arrays for multidimensional discrete transforms

1990 ◽  
Vol 4 (3) ◽  
pp. 201-222 ◽  
Author(s):  
Weicheng Shen ◽  
A. Yavuz Oru�
Keyword(s):  
Systolic Arrays ◽  
Discrete Transforms

scholarly journals Discrete Transforms and Matrix Rotation Based Cancelable Face and Fingerprint Recognition for Biometric Security Applications

Entropy ◽  
2020 ◽  
Vol 22 (12) ◽  
pp. 1361
Author(s):  
Abeer D. Algarni ◽  
Ghada El Banby ◽  
Sahar Ismail ◽  
Walid El-Shafai ◽  
Fathi E. Abd El-Samie ◽  
...  
Keyword(s):  
Fourier Transform ◽  
Fractional Fourier Transform ◽  
Fingerprint Recognition ◽  
Discrete Wavelet ◽  
Security Level ◽  
Cancelable Biometrics ◽  
Security Applications ◽  
Discrete Transforms ◽  
Transform Domains ◽  
Biometric Templates

The security of information is necessary for the success of any system. So, there is a need to have a robust mechanism to ensure the verification of any person before allowing him to access the stored data. So, for purposes of increasing the security level and privacy of users against attacks, cancelable biometrics can be utilized. The principal objective of cancelable biometrics is to generate new distorted biometric templates to be stored in biometric databases instead of the original ones. This paper presents effective methods based on different discrete transforms, such as Discrete Fourier Transform (DFT), Fractional Fourier Transform (FrFT), Discrete Cosine Transform (DCT), and Discrete Wavelet Transform (DWT), in addition to matrix rotation to generate cancelable biometric templates, in order to meet revocability and prevent the restoration of the original templates from the generated cancelable ones. Rotated versions of the images are generated in either spatial or transform domains and added together to eliminate the ability to recover the original biometric templates. The cancelability performance is evaluated and tested through extensive simulation results for all proposed methods on a different face and fingerprint datasets. Low Equal Error Rate (EER) values with high AROC values reflect the efficiency of the proposed methods, especially those dependent on DCT and DFrFT. Moreover, a comparative study is performed to evaluate the proposed method with all transformations to select the best one from the security perspective. Furthermore, a comparative analysis is carried out to test the performance of the proposed schemes with the existing schemes. The obtained outcomes reveal the efficiency of the proposed cancelable biometric schemes by introducing an average AROC of 0.998, EER of 0.0023, FAR of 0.008, and FRR of 0.003.

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