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CHAPTER  12/COMPUTER VISION  167


             7X1,  1)       7X2, i)                         TXJV,  i)
             r(i,2)         r(2, 2)                         T(N,  2)






                                             .  .

            7X1, AO         7X2,  AO                        T(N,N)

         FIGURE  12.13  Area segmentation.

        for  each small area, a homogeneous larger area is created by integrating the small
        areas that satisfy  the following:




        Conventionally, 3 x 3 or 5 x 5 small areas are used for integration.
            Another method creates a homogeneous  larger  area by using a power  spec-
        tram of a small area. Given the power spectrum Gy of a region with  NxNpixels,
        G is as defined in Eq. 45:




        where G is a feature vector and shows a texture in the area  (OQ-fcfc).  Given a feature
        vector G in each area, the distance between areas k and / is as defined in Eq. (46):





        where G k, G t are feature vectors of areas k and /, respectively.

        12.4.2 image Compression

        Image compression  is useful  for image analysis, image  storage,  and image trans-
        mission. The compression is accomplished  by using a pyramid data structure or a
        tree structure.
        12.4.2.1 Method  Using a Pyramid Data Structure
                                                  2n
        A series of images whose original  image  size  is  l/(2 )  (n =  1, 2, ...) is called a
        pyramid data structure. As shown in Figure  12.14, in the case  of a binary image,
        the value of a pixel on a higher level is determined by using the conjunction of the
        values of the four pixels on the lower level. For example, if at least one pixel with
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