[Graphics] Cyanotype, Halftone, Duotone, Binary image

[Medium]

I'm a bit at a loss here with you. The things you linked are methods for printing, not effects applied to images for the effect's sake. Especially the last one is simply impossible to reproduce on a coumputer screen, and the best approximation would simply be a grayscale image.
Reading the article on dithering would be a good start for binary images, though "binary" itself just means "you have only two colors/shades". How and even if you try to achieve virtualy more shades by for example dithering is just an option, not inherent to it.

As for halftone, read the wiki article more closely! It contains enough information for coming up with a way to simulate it, which mainly could consist of decomposing the colors into these you want to base on, and calculate dot-radi based on these color's brightness. The distribution pattern of the dots is mentioned also, and fairly simple.

The blueprints are, like platinotype, not possible to simulate to the full extent, too. Again, a monochrome image tinted blue is what you could do for approximation.

Deriving effects from methods of printig rarely can yield the impression of an actual print because of entirely different media, which are most often a property of the methods.