Disclosed is a display apparatus including: a signal receiver configured to receive an image signal; a display configured to display an image; a processor configured to: calculate a change degree and a change direction of pixel value differences between at least one first pixel and two or more second pixels of an image, and change a pixel value of the first pixel based on the pixel value difference which is relatively small among the pixel value differences obtained by the calculated change degree and the calculated change direction.According to this, it is possible to enhance the image details without generating or and increasing of the noises.