Instructions: 1. Simulate a digital image with one rectangular object. a. Double-click the "Matlab" icon to open it. b.Create your new Matlab file and save it as "lab4 yourlastname.m" at your directory c. Please read sample codes and simulate a digital image with one rectangular object. Feel free to change the parameters of your simulation. Plot your simulated digital image 2. Conduct Fourier Transform of your simulated image and convert back to spatial domain. fftimage fft2 (image) nofilter image abs (ifft2 (fftimage)) Compare this nofilter image with your original image 3. Apply a low pass filter to your simulated image. In sample codes, the cutoff parameter of the low pass filter is set to be 80 cutoff filter-80 Note: Please modify the cutoff parameters and observe the differences with different cutoff parameters Questions: 1. Are nofilter image and your original simulated image equivalent? Hints: Please check your codes and plots. nofilter image and image should be equivalent. Only Fourier transform and inverse Fourier trans form are conducted to generate nofilter image 2. Please modify the cutoff filter to be 50,100,256, and print out 1owpass filtered image with those three different parameters. What can you observe? When the cutoff filter is 256 compare lowpass filtered image with your original image Hints: The cutoff filter is the low pass filter cutoff range. When it is 256, it actually takes all frequency bins and no cutoff. The filtered image will be the same as your original