Journal
IEEE TRANSACTIONS ON CYBERNETICS
Volume 43, Issue 2, Pages 515-529Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSMCB.2012.2210706
Keywords
Bit-plane decomposition; image denoising; image encryption; (n, k, p)-Gray code
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Funding
- Research Committee of the University of Macau [SRG007-FST12-ZYC, MYRG113(Y1-L3)-FST12-ZYC]
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This paper introduces a new parametric n-ary Gray code, the (n, k, p)-Gray code, which includes several commonly used codes such as the binary-reflected, ternary, and (n, k)-Gray codes. The new (n, k, p)-Gray code has potential applications in digital communications and signal/image processing systems. This paper focuses on three illustrative applications of the (n, k, p)-Gray code, namely, image bit-plane decomposition, image denoising, and encryption. The computer simulations demonstrate that the (n, k, p)-Gray code shows better performance than other traditional Gray codes for these applications in image systems.
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