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Section 8.6.  Simplex  Minimization  for  Multiple-Reference Motion Estimation   201


















                       (a) Original frame    (b) Compensated using SR-FS (28.24 dB and
                                             77,439 locations)
















              (c) Compensated using MR-FS with M =50   (d) Compensated using MR-3DSM with M =50
              (31.31 dB and 3,871,950 locations)  (31.04 dB and 72,532 locations)

            Figure  8.12:  Subjective  quality  of  the  motion-compensated  158 th   frame  of  QSIF  FOREMAN  at
            25 frames=s




            of single-reference full-search SR-FS, and yet they still maintain the improved
            prediction gain of multiple-reference motion estimation. This is also illustrated
            in Figure 8.12, which shows the subjective quality of the motion-compensated
               th
            158 frame of FOREMAN. The uncovered background at the bottom-right corner
            of  the  frame  is  poorly  compensated  using  the  single-reference  algorithm  SR-
            FS  (Figure  8.12(b)).  This  uncovered  background  is  compensated  with  higher
            quality using the multiple-reference algorithms (Figures 8.12(c) and 8.12(d)).
            While  the  MR-FS  algorithm  achieves  this  improved  prediction  quality  at  the
            expense  of  about  50  times  increase  in  computational  complexity,  the  MR-
            3DSMalgorithm  provides  a  similar  improvement  at  no  increase  in  computa-
            tional complexity.
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