Write a MATLAB function capable of reducing the number of grey levels in an image. The desired number of grey levels needs to be a variable input to your program and must be an integer power of 2 (and less than 256). Write a "driver" program to read in the image "Megeve_512 times 512_256.jpg", and show the effect on this image of reducing the number of grey levels from 256 to 128. 64. 32. 16. 8. 4 and 2. Zooming and Shrinking Images by Pixel Replication Write a MATLAB function capable of zooming and shrinking an image just by pixel replication. Assume that the desired zoom/shrink factors are integers. You may ignore aliasing effects. You will need to read in "Megeve_512 times 512_256.jpg". Use your program to shrink the image "Megeve_512 times 512_256.jpg" in (a) from 512 times 512 to 128 ' 128 pixels. Use your program to zoom the image in (b) back to 512 ' 512. Explain the reasons for the differences between the original image and the image that has been shrunk and then expanded back to the original size