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The paper presents a non-uniform quantization method for the Detailcomponents in the JPEG2000 standard. Incorporating the fact that thecoefficients lying towards the ends of the histogram plot of each Detailcomponent represent the structural information of an image, the quantizationstep sizes become smaller at they approach the ends of the histogram plot. Thevariable quantization step sizes are determined by the actual statistics of thewavelet coefficients. Mean and standard deviation are the two statisticalparameters used iteratively to obtain the variable step sizes. Moreover, themean of the coefficients lying within the step size is chosen as the quantizedvalue, contrary to the deadzone uniform quantizer which selects the midpoint ofthe quantization step size as the quantized value. The experimental results ofthe deadzone uniform quantizer and the proposed non-uniform quantizer areobjectively compared by using Mean-Squared Error (MSE) and Mean StructuralSimilarity Index Measure (MSSIM), to evaluate the quantization error andreconstructed image quality, respectively. Subjective analysis of thereconstructed images is also carried out. Through the objective and subjectiveassessments, it is shown that the non-uniform quantizer performs better thanthe deadzone uniform quantizer in the perceptual quality of the reconstructedimage, especially at low bitrates. More importantly, unlike the deadzoneuniform quantizer, the non-uniform quantizer accomplishes better visual qualitywith a few quantized values.

An Adaptive Statistical Non-uniform Quantizer for Detail Wavelet Components in Lossy JPEG2000 Image Compression