Refer to the discussion at the end of Section 2.5.2, where we defined the background as (Ru)c, the complement of the union of all the regions in an image. In some applications, it is advantageous to define the background as the subset of pixels (Ru)c that are not region hole pixels (informally, think of holes as sets of background pixels surrounded by region pixels). How would you modify the definition to exclude hole pixels from (Ru)c? An answer such as “the background is the subset of pixels of (Ru)c that are not hole pixels” is not acceptable. (Hint: Use the concept of connectivity.)
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