1. (5pts) Apply a 33 mean filter to the following 2D matrix. You may assume that the filter is only applied to areas of the data that have a full 9 samples to process. Feel free to use Matlab to help you compute this, however, realize that you may be asked to do this without a calculator on an exam. I=7352624577412262627322543654736634114671441326342525564127264714 2. (5pts) What is the kernel function for a 55 Gaussian function with =2? Normalize the kernel so that its elements sum to one. 3. (5pts) Given the following 2D kernels, what is the magnitude and direction of the gradient at the center pixel in I ? Feel free to use Matlab to help you compute this, however, realize that you may be asked to do this without a calculator on an exam. x=313131000313131,y=310313103131031I=735774627 4. Imagine that the matrix below contains is for the magnitude of the gradients of an image. Which pixels would we consider edge pixels if we applied hysteresis with a low threshold of TL=2 and a high threshold of TH=4 ? Visualize this as a binary image/matrix such that a location has a value of one if it is an edge pixel. Do this using: (a) 4-way connectivity (2pts) (b) 8-way connectivity (3pts) G=214442303453425423521400112623