Calculate the coefficients of a cubic spline filter for 4:1 low-pass filtering and display its coefficients. 2. Select an arbitrary image and display it (you may use lena or cameraman). Call this the...

Calculate the coefficients of a cubic spline filter for 4:1 low-pass filtering and display its coefficients. 2. Select an arbitrary image and display it (you may use lena or cameraman). Call this the original image. 3. Decimate the original image by a factor of 4 and then interpolate the decimated image by a factor of 4 and display the resulting image. 4. Decimate the original image by a factor of 2/3 horizontally and interpolate by a factor of 3/2 vertically and display the resulting image. 5 Calculate the RMSE value between the original image and the image obtained in Step 3 and explain why the two are not identical.