x y i u2062 u2062 x y d u2062 u2062 x y i u2062 u2062 x y f u2062 u2062 x y equation u2062 u2062 5 fig1 a fig1 b and fig4 demonstrate the enhancement results by using method 20 in a backlighting situation image 10 shown in fig1 a is the original gray scale image the image shown in fig1 b is the correction result by using the conventional gamma correction and the image shown in fig4 is the enhanced image processed by equation 4 as image 10 is an image with non uniform brightness and high contrast it is clearly seen that the gamma corrected image in fig1 b is simply an image in which the gray scale values of all pixels are all increased by similar amounts it is also evident that the gamma corrected image appears extremely bright and the diamonds in the image lose their gradation in contrast the gray scale image in fig4 is processed by equation 4 and the diamonds in the figure receive different degrees of enhancement according to their surroundings it is evident that in fig4 the brightness is increased the graphical gradation is retained and no blurring is seen similarly fig2 a fig2 b and fig5 demonstrate the enhancement results by using method 20 in a reflection situation image 10 shown in fig2 a is the original gray scale image the image shown in fig2 b is the correction result by using the conventional gamma correction and the image shown in fig5 is the enhanced image processed by equation 5 as image 10 is a considerably bright image affected by reflection it is clearly seen that the gamma corrected image in fig2 b is simply an image in which the gray scale values of all pixels are.