[Image processing] perform upscaling and downscaling using bilinear interpolation

X = 1 5 9 13 2 6 10 14 3 7 11 15 4 8 12 16 (d) Let us now try to repeat downsampling/upsampling using bilinear interpolation. You can verify your results using imresize(X,scale factor,'bilinear', 'Antialiasing',false). 10 pts i. Suppose we downsample/downscale X by a factor of 2 along horizontal and vertical direction. Write down the resultant 2 x 2 image X 2 (it will be a 2 x 2 matrix)? 2 ii. Show that we can write X 2 = AXBT, where A, B are 2 x 4 matrices. iii. Suppose we upsample/upscale X 2 by a factor of 1.5 along both directions to get a 3 x 3 image X. What will be values of X? iv. Show that we can write X = CX 2DT, where C, D are 3 x 2 matrices. X = 1 5 9 13 2 6 10 14 3 7 11 15 4 8 12 16 (d) Let us now try to repeat downsampling/upsampling using bilinear interpolation. You can verify your results using imresize(X,scale factor,'bilinear', 'Antialiasing',false). 10 pts i. Suppose we downsample/downscale X by a factor of 2 along horizontal and vertical direction. Write down the resultant 2 x 2 image X 2 (it will be a 2 x 2 matrix)? 2 ii. Show that we can write X 2 = AXBT, where A, B are 2 x 4 matrices. iii. Suppose we upsample/upscale X 2 by a factor of 1.5 along both directions to get a 3 x 3 image X. What will be values of X? iv. Show that we can write X = CX 2DT, where C, D are 3 x 2 matrices