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Section 9.6  Notes  289


                     PROBLEMS
                                 9.1. The mean shift procedure for finding a mode of a function
                                                                 n
                                                                       x − x i  2
                                                        f(x)= C    k  ||     ||
                                                                         h
                                                                i=1
                                                                      (j)
                                     involves producing a series of estimates y  where
                                                                            (j) 2
                                                                       x i −y
                                                         (j+1)    i  x i g(||  h  || )
                                                             =                  .
                                                        y
                                                                           (j) 2
                                                                    g(||  x i −y  || )
                                                                   i     h
                                     Now assume we have a function
                                                n -    (−d s/2)     s  s   .-  (−d r /2)     r  r   .
                                                   (2π)               i    (2π)              i
                                       f(x)= C               k  x − x               k  x − x     .
                                                        d s       hs           d r        hr
                                                       h s                    h r
                                               i=1
                                     What is the form of the mean shift estimate for this function?
                     PROGRAMMING EXERCISES
                                 9.2. Implement a mean shift segmenter.
                                 9.3. Implement a graph-based segmenter, after Section 9.4.2.
                                 9.4. Implement a graph-based segmenter, after Section 9.4.3; for this, you should
                                     use one of the fast graph cut packages available on the Web.
                                 9.5. Use your graph-based segmenter to build an interactive segmentation system.
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