Comparing the 64x64 images with the original 256x256 version:
Original Image
Pixel Skipping
Pixel Averaging
Discrete Wavelet Transform
All three methods give a good representation of the original.
The Pixel Averaged image is fuzzier than the other two, and the DWT image
preserves the details (such as the edges of the glasses and the lock of hair
on her forehead) better than the other two. This is especially obvious if the
images are expanded back to the original size.