Hw$-$project $1(100$pt$)$ :

$1.$ Image resampling

Process $$aivazovsky$78$g$.$tif$-$image X $($show in Figure $1)$ by re$-$sampling it in the following ways:

Caravan image $[$Aivazovsky$]$

Fig. $1.$ The image of the Project.

A$1.$ Resample the image by $2\backslash$times $2$ by the direct way. Instead of four pixels $($in square $2\backslash$times $2)$ one

pixel should be written.

A$2.$ Reconstruct directly the image X from Y $($i$.$e$.$ record four samples for new image from one

sample of the resampled image Y $).$

A$3.$ Calculate and print the mean$-$square$-$root error of the reconstruction.

B$1.$ Resample the image by $2\backslash$times $2$ with the average procedure. Instead of four pixels $($in square

$2\backslash$times $2)$ one pixel should be written with average intensity of four samples.

B$2.$ Reconstruct the image X from Y$.$ Try to find the best method of image reconstruction.

B$3.$ Calculate and print the mean$-$square$-$root error of the reconstruction.

Display all images as shown in Figure $2.$