Consider the following data for mapping function F and input intensities I: F$($u$)$: $\mathrm{.}7,2\mathrm{.}1,2\mathrm{.}9,3\mathrm{.}5,3\mathrm{.}9$

I$($u$)$: $100,150,200,170$

What are the output intensities A$0,$ A$1,$ A$2,$ and A$3$ as computed by Fant$$s resampling algorithm? Use linear interpo$-$

lation for reconstruction and weigh the input contributions according to their area coverage in the output.