This is the given code. Only part that needs to be done are the green parts where it says To Do. That is the part where a code needs to be created following what it is asked.

polar-coordinate matricies for all the points in the scan-line [a, t] meshgrid(alpha0+ (0:nbeams-1) *dalpha, linspace (r0, R, size (q, 1))); *To do: Create x-coordinate vector X and y-coordinate vector Y for all the points in the scan-lines = *To do: Create x-coordinate matrix Xi and y-coordinate matrix Yi for all the points in the image. The function meshgrid could be used. Interpolation for scattered data F = TriScattered Interp (X (:), Y (:), q (:)); I=F (Xi, Yi); I (isnan (I))=0; figure (3) imshow (mat2gray (I))