Recreating Anti-Alliasing/Moiré effects

If we look how the Moiré pattern is created we can see that it is the result of rotating linear patterns:

^{Soure: Wikimedia}

This is mostly unwanted on fast method scaling of images that have a regular pattern, or on displaying such images on a display made up of regular patterns too (like our screens).

To intentionally produce this effect we need a source image dithered with a regular pattern such as the halftone dithering of the example given.

Below are steps to transform an image with adding Moiré:

1. Dither source image using a regular pattern:

   

2. Copy the image and paste it as a layer on top of the dithered source

3. Apply a rotation to the pasted layer (the angle will control the effect size)

   
   ^{Moiré overlay with transparency}

   
   ^{Moiré overlay with 50% opacity}

   
   ^{Moiré overlay with a line-dithered source}

From examples above we can see that the primary dithering technique will deptermine the shape of our Moiré (diamonds produce diamonds and lines will produce lines).