1. A method for detecting and removing a false contour, comprising: receiving an input video; verifying whether a pixel of the input video is included in a contour; calculating simplicity of the pixel, the calculating comprising calculating a numeric value by accumulating predetermined weighted values according a comparison of the pixel and adjacent pixels in either a longitudinal direction or a diagonal direction, the predetermined weighted values being determined prior to receiving the input video; determining whether the pixel is included in a false contour based on the simplicity and based on whether the pixel is included in the contour; and removing the false contour from the input video via smoothing with respect to the false contour, wherein the calculating of the simplicity of the pixel comprises: verifying whether a difference between the adjacent pixels within an n x n sized pixel group, including the pixel in a center thereof, is less than a predetermined difference; measuring a bond strength between the adjacent pixels according to directions of the adjacent pixels when the difference between the adjacent pixels is less than the predetermined difference; and calculating the simplicity of the pixel based on the bond strength.