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Figure 12 Number of quantization levels associated to each DCT coefficient band for the eight RD points.
They correspond to the following quantization matrices: (7) Each element of the matrices corresponds to the number of quantization levels to the corresponding coefficient band.
A discrete onset time is defined as the centre of the interval when the wavelet coefficient first exceeds this threshold, and the uncertainty is defined as plus or minus the temporal width of the coefficient band.
After the target distortion and the estimated distortions for the various QLs are known, an exhaustive search is performed, at band level, to determine the best match; this process provides the optimal QL for each coefficient band j this means the minimum number of quantization levels (and thus the minimum rate) allowing to reach the target distortion.
The microstructural differences as a function of OAD content are reflected in the transmission modulation in the photopic and solar regions, NIR reflectance, optical absorption coefficient, band gap, refractive index, switching kinetics, charge storage capacity and electrochemical activity of the films.
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For coefficient bands that have not been transmitted, the side information is directly considered in the reconstruction.
The fusion rules in step 2 of the algorithm comprise, for instance, substituting the original MS coefficient bands by the coefficients of the PAN image or adding the coefficients of the PAN to the coefficients of the original MS bands, weighted sometimes by a factor dependent on the contribution of the PAN image to each MS band.
Gels were stained with silver nitrate and data analysis was performed using GelCompar II (applied maths) with dendrogram type 'ward', similarity coefficient – band-based 'dice', position tolerance '1%'.
For cluster analysis, the Dice coefficient for band matching (band-position tolerance 1.5%) was used to generate an unweighted pair group method with arithmetic averages dendrogram.
(11) After all DCT coefficients bands are reconstructed, a block-based inverse discrete cosine transform (iDCT) is performed, and the decoded WZ frame is obtained.
(3) The DCT coefficients of the entire WZ frame are grouped together, according to the position occupied by each DCT coefficient within the blocks, forming the DCT coefficients bands.
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