Louisiana State University Department of Electrical and Computer Engineering EE 4780 – Introduction to Computer Vision Spring 2008 Problem Set 1 Assigned: January 27, 2008 Due: February 4, 2008. Email your files to the TA, Ming Zhang [[email protected]]. Problem 1: Write a Matlab m-file that will do the following: 1) Prompt the user to write an image name. 2) Read the image and display it; let the user to crop a part of the image. 3) Apply histogram equalization to the selected part. (You may use the built-in Matlab function.) Display the selected part and the histogram-equalized part on the same figure. Name your file as test1.m. Problem 2: Let x(t) and y(t) be continuous signals, defined as x(t) = t for 0 < t ≤ 1 x(t) = 1-t for 1 < t ≤ 2 x(t) = 0 elsewhere y(t) = t2 for 0 < t ≤ 1 y(t) = 1 for 1 < t ≤ 2 y(t) = 0 elsewhere Use MATLAB to find the convolution of x(t) and y(t). Plot the inputs and output on the same figure. Name your file as test2.m.