I. Introduction
For efficient representation and processing, a continuous-domain continuous-amplitude image signal is converted to discrete-domain discrete-amplitude image signal in digital cameras [1]. The fixed array of image sensors accounts for the discretization in spatial domain (i.e. sampling), while the discretization in amplitude is achieved by pixel-domain scalar quantization. A scalar quantizer of bit-depth maps a pixel value to one of discrete amplitude levels, so a high bit-depth (HBD) image becomes low bit-depth (LBD) after quantization. This process — the scalar quantization of pixel values— inevitably introduces distortions to the resultant LBD image. A well-known rule in scalar quantization is the “6dB per bit rule” [2], meaning an increment of 1 in bit-depth approximately leads to 6dB's gain in peak signal-to-noise ratio (PSNR) of the quantized signal.