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Multimedia Systems



                   notes         11.4.2 interpixel redundancy
                                 Consider the images shown in Figures 11.1 (a) and (b). As Figs. 11.1 (c) and (d) shows, these images
                                 have virtually identical histograms. Note also that both histograms are trimodal, indicating the
                                 presence of three dominant ranges of grey-level values. Because the grey levels in these images
                                 are not equally probable, variable-length coding can be used to reduce the coding redundancy
                                 that would result from a straight or natural binary encoding of their pixels. The coding process,
                                 however, would not alter the level of correlation between the pixels within the images. In other
                                 words, the codes used to represent the grey levels of each image have nothing to do with the
                                 correlation between pixels. These correlations result from the structural or geometric relationships
                                 between the objects in the image.

                                              figure 11.1: two images and their Grey-level Histograms and
                                                Normalized Autocorrelation Coefficients along One Line



















                                                                                       b
                                                        a
                                                        ( )                            ( )
                                           p × 10 2                      p × 10 2
                                           r
                                                                         r
                                          1.6                           1.8
                                          1.2
                                                                        1.2
                                          0.8
                                                                        0.6
                                          0.4

                                          0.0                           0.0
                                            0          128   r k   225   0          128   r k   225
                                                                                       d
                                                        ( )                            ( )
                                                        c
                                                                         
                                           1.0                          1.0
                                           0.8                          0.8
                                           0.6                          0.6
                                           0.4                          0.4

                                           0.2                          0.2
                                           0.0                          0.0
                                            0          5  0  n    100   0           5  0  n    100
                                                       e
                                                       ( )                            ( ) f





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