The general field of the invention is that of the methods of processing an initial digital image IIN(p) made up of pixels (p). The method according to the invention comprises the following successive steps: Step 1: calculating the logarithm of the initial image in order to obtain a first intermediate image Log(IIN(p)); Step 2: filtering said first intermediate image using a low-frequency filter in order to obtain a second intermediate image BF(p); Step 3: determining the value of the minimum intensity and the value of the maximum intensity in the low-frequency image; Step 4: calculating a third intermediate image Log(IOUT(p)) using the following linear combination: Log(IOUT(p))=[Log(IIN(p)−BF(p)]·[K1·BF(p)+K2]+K3·BF(p)+K4 K1, K2, K3 and K4 being constants; Step 5: calculating the final image IOUT(p) by applying the exponential function to the third intermediate image.