Comparing the performance of Kalman Filter, Median Filter, and Gaussian Filter on Images

It is an assignment where I have to compare: -Kalman Filter -Median Filter -Gaussian Filter The software is preferable to be implemented in matlab, but any software used which gives results is acceptable. Median Filter, and Gaussian Filter is already implemented as builtin function in most image processing softwares including matlab. Here will be the steps: 1. Given the skin image. 2. Add gaussian noise to the image with mean = 0, variance = 5 gray/color levels 2. Apply the three filters, with the given gaussian mean and variance, seperately. 3. Apply the optical flow on each of the treated images. 4. Calculate the error in optical flow for each filter, given the original non-noise-added optical flow. Note regarding Kalman Filter: RUKF or similar 2-D kalman filter is required.