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238                Chapter 10. Error Concealment Using Motion Field Interpolation


               0.5                             1
               0.4                             0.9
              1−w(x n ,y n )  0.3             w(x n ,y n )  0.8
                                               0.7
               0.2
               0.1                             0.6
                0                              0.5
                1                              1
                0.8                            0.8
                 0.6                             0.6
                  0.4                             0.4
                   0.2                 0.8  1      0.2                 0.8  1
                               0.4  0.6                       0.4  0.6
                 y n  0    0.2                   y n  0   0.2
                       0                              0
                               x n                            x n
                  (a) BM weights, (1 −      ), with   =1  (b) MFI weights,     , with   =1
                1                              1
               0.9                             0.9
               0.8                             0.8
              w(x n ,y n )  0.7               w(x n ,y n )  0.7
               0.6                             0.6
               0.5                             0.5
                1                              1
                0.8                            0.8
                 0.6                             0.6
                  0.4                             0.4
                   0.2                 0.8  1      0.2                 0.8  1
                                   0.6                             0.6
                     0         0.4                   0        0.4
                       0                              0
                 y n       0.2                   y n      0.2
                               x n                            x n
                    (c) MFI weights,      , with   =5  (d) MFI weights,     , with   =50
            Figure 10.2: Multihypothesis weights w   (·; ·) with di,erent values of the smoothness parameter
            Table 10.2: Comparison between conventional temporal concealment and the MFI and BM-MFI
            techniques
                        Conventional temporal
                            concealment          MFI              BM-MFI

            Displacement  One displacement per  One displacement per  Two displacements
            estimation    blockusing AV,     pel using MFI      per pel: one
                          TR, BM, etc.       (weighted sum of   produced by MFI
                                             four neighboring   and another
                                             vectors)           produced by BM
            Displacement  Translational, same  Translational, but on a  Multihypothesis
            compensa-     displacement for   pel-by-pel basis   motion
            tion          the whole block.                      compensation
                                                                (each pel is a
                                                                weighted sum of
                                                                two concealments)
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