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38                    2, Signal Processing with Optics

                                         r(x -x' )
                                                2
                                            2
                                                 7IW





                                       0 1
                                        2h —














                                      w    d
                                         (b)

            Fig. 2.48. Image substration. (a) Point-pair coherence function, (b) Source encoding.

       source-encoding mask is, in fact, represented by N equally spaced narrow slits,
       as shown in Fig. 2.48b.
          Since the image subtraction is a 1-D processing operation, the Fourier
       domain filter should be a fan-shaped broadband sinusoidal grating, as given by
                                  If       (2nxh\
                              G = - 1 + sin —-—


       Figure 2.49a shows two input color images, and the output subtracted image
       as obtained by the preceding method is shown in Fig. 2.49b. Again, we see that
       the coherent artifact noise has been suppressed and the polychromatic content
       of the subtracted image is exploited.



       2.8.3. COLOR IMAGE PRESERVATION AND PSEUDOCOLORING

         One interesting application of white light processing is color image preser-
       vation. By spatial sampling, a color image can be encoded in a black-and-white
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