la Consider the 1D image below: a b c d e f g 1D image: 1 a) Where abcdefg are gray scale intensities. Suppose we apply the following filter TWICE to this image. 1 1 1 In other words, we apply the filter to I to produce image J, and the re-apply the same filter to J. Give the expression for the center pixel after both filters have been applied (express the resulting gray scale as a function of a,b,c, ..., 9). Note that the mask will not be placed on border pixels (i.e. a and g) b) Define a single 10 filter that, when applied only once to the image will produce the same results for the center pixel as applying the 1D filter in a) twice