I JUST NEED AN ANSWER FOR THE SECOND PART ON ROTATING THE IMAGE AND YOU CANT USE ANY BUILT IN MATLAB FUNCTIONS. THANK YOU!!!!!!!!!!!!! Problem $3.[40$ points$]$ Basic Image processing II$.(1)$ Download the file 'butterfly.gif' under "Files" tab "Lab$12\_$data", we will use it as the input image and generate a blurred version using a $n-$by$-$n blurring window. For example, if $n$ equals $3,$ imgOut $(2,2)$ on the right can be calculated by averaging the $9$ numbers in the red box from the original image. If any terms in the $3-$by$-3$ box are out of the image, you can ignore them. One solution is to use the MATLAB built$-$in function filter$2($see the extra optional practices as an example$).$ However, here

we would like you to get practices on writing for loops in MATLAB. You must use a nested for loop to solve this problem, make the code work for any $n($a positive odd number$).$

$(2)$ Design an image warping and shift operator so that the image rotates $90$degree clock$-$wise $($Hint: Note that the rotation is around $(0,0),$ you may try a few output pixels and see where they are mapped with respect to your source image. This allows you to determine if any shift is necessary$).$ You are not allowed to use any MATLAB images rotation functions to solve this problem.

Submit your $.$m file as "yourLastName hw$12$ prob$3.$m$".$

Report your blurred images for the case $n$ equals $5,9,$ and $15$ and the rotated image in the write up$.$