An image is shifted about 4 pixels to the left. This can either be done by backward resampling in the spatial domain or by manipulations in the frequency domain.

1. Determine and give the polynomials p and q (x=p(xref,yref) and y=q(xref,yref) ) used in the resampling process for 4 pixels displacement . (xref,yref) represent pixel coordinates in the new image and (x,y) coordinates in the old image.

2. Give the polynomial if the image also shall be enlarged 3 times from 256 x 256 pixels to 1024 x 1024 pixels