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288      DIGITAL IMAGE PROCESSING





                                                    No. pixels








                                                                   (a)
                                                                                      Output values for image display


                                                    Log no. pixels








                                                                   (b)




                                                    Rel. no. pixels








                                                     0                           255
                                                                Input values
                                                                   (c)

                                Figure 15-2
                                Three kinds of histogram displays. (a) The regular histogram is shown as a plot of input pixel
                                value (x-axis) vs. the number of pixels of value x in the histogram. The LUT function is shown
                                here as a line superimposed on top of the histogram. (b) Semi-log plot shows the input pixel
                                value (x-axis) vs. the number of pixels having an input value of x on a log scale (y-axis).
                                (c) Cumulative histogram showing input pixel value on the x-axis vs. the cumulative number
                                of pixels having an input value of x or lower on the y-axis.



                                In some cases, such as fluorescence images, dim fluorescent features appear dark gray
                                and seem to be lost. No linear LUT setting seems to show the full range of data satis-
                                factorily or in the way we see the image when looking in the microscope. Partly this is
                                because a CCD camera is a linear detector of light intensities, whereas the eye gives a
                                logarithmic response, allowing us to see bright objects and dim, low-amplitude objects
                                in the same visual scene. Exponential functions more closely match the nonlinear
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