For this set, I used a sigma of 10 for the Gaussian filter.
Image set 2 - Lincoln and Washington
For this set, I first converted Washington to black-and-white. I used a sigma of 23 for the Gaussian filter.
Image set 3 - Pen and Eraser
For this set I used a sigma of 5 for the Gaussian filter. I consider this image a failure, since the effect is not very
convincing. This is because there is no way to align the pen and eraser together properly, since their shapes are too different.
Fourier analysis of Lincoln and Washington
Through the Fourier analysis, it's clear that the high-frequency components are being removed from the Lincoln image,
and the low-frequency components are being removed from the Washington image.
Bells and Whistles: Adding color
The color in the foreground is not very prominent, so the first and third images are very similar. I prefer both layers to be colored,
but the answer is a matter of personal preference.