(n, k, p)-Gray Code for Image Systems

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.