The invention relates to a method improving the images in an image processing unit ( 5 ) receiving images from an electronic color video camera ( 3 ) of a medical endoscope ( 1 ) and then transmitting them to an image display unit ( 7 ), and to an endoscope operating on the basis of the said method, where first the pixels of the color components (RGB) are individually mapped into a color space (HSL) wherein the color saturation (S) is independent of the other components (H, L), thereupon the saturation component (S) of each pixel to be mapped is converted by means of a nonlinear mapping function ( 11 ) which amplifies the color saturation differential between an upper zone (b->1) and a lower zone (0-b) of the color saturation, lastly the pixels being remapped into an (RGB) color space suitable for image display.