COSC 6343: Intelligent Agents and Applications Homework 3 Due: November 15, 2009 11:59 PM 1- (20 pts) Convolve the sub-image shown below with a 3x3

4. Prove the following properties of the Gaussian function,(a) Symmetry: G(x) = G(-x)(b) Product of two Gaussians is a Gaussian: G1(x) xG2(x)= G(x)5. Generate the mask for 255xÑ2G(x, y), for = 1. Truncate all the mask valuesto the nearest integer (Hint: 1- Write a program. 2-Ñ2 is the Laplacian Operator.).