2. [4 points]

Implement an AverageFiltering function to perform a filtering operation, as explained in class, on the input image. The prototype of this function should be:

function [filteredIm] = AverageFiltering (im, mask)

where im is the original grayscale image and mask is the square filter with odd numbers of rows and columns. Make sure that your function shows appropriate error messages when the masks dimension is not an odd number, the mask is not a square. Note: both input and output images of the AverageFiltering function should be an array with data type uint8. You are not allowed to simply use the Matlab filter2 or conv2 or fspecial or imfilter or other built-in functions in your implementation.

Please make sure to show working code, will rate if done so.

Call AverageFiltering function to process the noisy image Circuit.jpg using a standard 33 averaging filter and a standard 55 averaging filter, respectively. Display the original image and two processed images in Figure 2 with appropriate titles.