Image processing Problem $1.$ Download the file Square.tif and answer the following questions: i$.$ Smooth the image with a $3$x$3$ spatial filter. ii$.$ Smooth the image with an implementation of Gaussian filter in frequency domain. Change the bandwidth of the filter and show how these changes affect the result. iii. Visualize that filtering in frequency domain can cause wraparound error in spatial domain and explain how can this interference be avoided. Apply your idea as a preprocessing step in part $($ii$)$ and display your results. iv$.$ Sum up your conclusions in part $($ii$)$ and $($iii$),$ and List the Basic Steps required in DFT filtering. Implement all these steps in an M$-$file, named YOUR$2($replace YOU with your name$).$ This file must get an arbitrary image as input, smooth the image with a Gaussian filter, and give the filtered image in output. The process of filtering should be done in frequency domain.