1. Problem A: Write a Matlab or C-program for implementing filtering of "lenna" gray scale image. Your program should allow you to specify the filter with an arbitrary size, read in a gray scale image, and save the filtered image into another file. For simplicity, ignore the boundary effect. That is, do not compute the filtered values for pixels residing on the image boundary. If the filter is symmetric with size M x M, the boundary pixels are the outermost M/2 pixels in all sides. You should properly normalize the filtered image so that the resulting image values can be saved as 8-bit unsigned characters. Apply the following filters 2 1 1 1-2 12-2 1 2 H,-. 24 to your test image. Comment on the effect of image these filters on your image