using matlab :

$1)$ Take a $2$D Phantom and generate projection$/$sinogram

$2)$ Do FBP reconstruction and measure SNR$,$ Contrast and Resolution

$3)$ Change filter types and parameters $($at least $3$ filters and parameters$)$ and repeat

step $2$

$4)$ Draw the graphs to show the relationships between filter types and parameters vs

SNR$,$ Contrast and Resolution

$5)$ Determine the best filter type and parameter from the graphs. Briefly discuss why it

is the best.

$6)$ Gradually increase the noise in the projection data and repeat steps $2$ only for the best filter type and parameter determined in step $5$

$7)$ Draw the graph to show the relationships between noise vs SNR$,$ Contrast and Resolution with the best filter type and parameter determined in step $5$

$8)$ Explain how noise effects the filter parameter