Although quantization results in information loss, it is sometimes invisible to the eye. For example, when 8-bit pixels are uniformly quantized to fewer bits/pixel, false contouring often occurs. It can be reduced or eliminated using improved gray-scale (IGS) quantization. A sum—initially set to zero—is formed from the current 8-bit intensity value and the four least significant bits of the previously generated sum. If the four most significant bits of the intensity value are 11112, however, 00002 is added instead. The four most significant bits of the resulting sum are used as the coded pixel value.
(a) Construct the IGS code for the intensity data in Problem 8.3.
(b) Compute the rms error and rms signal-to-noise ratios for the decoded IGS data.
8.3 Consider an 8-pixel line of intensity data, {108, 139, 135, 244, 172, 173, 56, 99}. If it is uniformly quantized with 4-bit accuracy, compute the rms error and rms signal-to-noise ratios for the quantized data.
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