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174      INTELLIGENT COMMUNICATION SYSTEMS




























         FIGURE  12.19  Measurement by ranger finder.





















        FIGURE  12.20  Object recognition from a 2D image.


        12.4.6 Object Recognition
        12.4.6.1 Object Recognition  from a Two-Dimensional  Image
        By rotating an object by an angle a,  the position x'  of P along the x axis is x f  =
        x cos a  + z sin a.  Similarly,  by rotating  an object  by an angle  P, the  position
        x"  of P along the jc axis is x" -  x cos P + z sin p (see Figure  12.20). Combining
        the two equations, we get, x" = ax + bx' (50) where a = [sin (a -  P)]/sin a and b -
        sin P/sin  a.
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