Hw-project 1 (100pt): 1. Image resampling Process 'aivazovsky78g.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. A1. Resample the image by 22 by the direct way. Instead of four pixels (in square 22 ) one pixel should be written. A2. Reconstruct directly the image X from Y (i.e. record four samples for new image from one sample of the resampled image Y ). A3. Calculate and print the mean-square-root error of the reconstruction. B1. Resample the image by 22 with the average procedure. Instead of four pixels (in square 22 ) one pixel should be written with average intensity of four samples. B2. Reconstruct the image X from Y. Try to find the best method of image reconstruction. B3. Calculate and print the mean-square-root error of the reconstruction. Display all images as shown in Figure 2. Submit the hard copy of the project with the results, and email me by (amgrigoryanutsa.edu) one zip file of the codes with the image