$```$class resample: def resize$($self$,$ image, fx$=$None, fy$=$None, interpolation$=$None$)$: $"""$calls the appropriate funciton to resample an image based on the interpolation method image: the image to be resampled fx: scale along x direction $($eg$.0\mathrm{.}5,1\mathrm{.}5,2\mathrm{.}5)$ fx: scale along y direction $($eg$.0\mathrm{.}5,1\mathrm{.}5,2\mathrm{.}5)$ interpolation: method used for interpolation $(\text{'}$either bilinear or nearest$\_$neighbor$)$ returns a resized image based on the interpolation method $"""$ if interpolation $==$ 'bilinear': return self.bilinear$\_$interpolation$($image$,$ float$($fx$),$ float$($fy$))$ elif interpolation $==$ 'nearest$\_$neighbor': return self.nearest$\_$neighbor$($image$,$ float$($fx$),$ float$($fy$))$ def nearest$\_$neighbor$($self$,$ image, fx$,$ fy$)$: $"""$resizes an image using nearest neighbor approximation for resampling image: the image to be resampled fx: scale along x direction $($eg$.0\mathrm{.}5,1\mathrm{.}5,2\mathrm{.}5)$ fx: scale along y direction $($eg$.0\mathrm{.}5,1\mathrm{.}5,2\mathrm{.}5)$ returns a resized image based on the nearest neighbor interpolation method $"""$ # Write your code for resampling using nearest neighbor interpolation here return def bilinear$\_$interpolation$($self$,$ image, fx$,$ fy$)$: $"""$resizes an image using bilinear interpolation approximation for resampling image: the image to be resampled fx: scale along x direction $($eg$.0\mathrm{.}5,1\mathrm{.}5,2\mathrm{.}5)$ fx: scale along y direction $($eg$.0\mathrm{.}5,1\mathrm{.}5,2\mathrm{.}5)$ returns a resized image based on the bilinear interpolation method $```$Note: Do not write the code to perform interpolation between points in this file. There is a file named interpolation.py$,$ and two function definitions are provided linear$\_$interpolation: Write your code to perform linear interpolation between two in this function bilinear$\_$interpolation: Write your code to perform bilinear interpolation using four points in this functions. As bilinear interpolation essentially does linear interpolation three times, you could simply call the linear$\_$interpolation function three times, with the correct parameters. $"""$ # Write your code for resampling using bilinear interpolation here return$```$