1. A method for removing a noise on an image using a cross-kernel type median filter, comprising the steps of: determining whether a target pixel is a noise or not; determining information on a peripheral pixel of the target pixel; applying the cross-kernel type median filter based on the determined information of the peripheral pixel; and correcting the image by removing the noise using the cross-kernel type median filter, wherein the target pixel is disposed on a center of 3×3 region of the image, wherein a median of 3×3 region is denoted as a first median, and a median of a region using the cross-kernel type median filter is denoted as a second median, and wherein when an absolute value of a difference value between the first median and a data value of the target pixel is less than a reference value, the first median is outputted as the value of the data where the noise is removed, otherwise, the second median is outputted as the value of data where the noise is removed.