Here I implemented in R some dithering algorithms:

– **Floyd-Steinberg dithering**

– **Bill Atkinson dithering**

– **Jarvis-Judice-Ninke dithering**

– **Sierra 2-4a dithering**

– **Stucki dithering**

– **Burkes dithering**

– **Sierra2 dithering**

– **Sierra3 dithering**

For each algorithm, I wrote a 2-dimensional convolution function (a matrix passing over a matrix); it is *slow* because I didn’t implemented any fasting tricks. It can be easily implemented in C, then used in R for a faster solution.

Then, a function to transform a grey image in a grey-dithered image is provided, with an example. The library **rimage** was used for loading and displaying images (see the other post R is a cool image editor).

These function can be easily re-coded for a RGB image.

Only the first code is commented, ’cause they’re all very similar.

library(rimage)

y <- read.jpeg("valve.jpg")

plot(y)

__Floyd-Steinberg dithering__
plot(normalize(grey2FSdith(rgb2grey(y))))

__Bill Atkinson dithering__
plot(normalize(grey2ATKdith(rgb2grey(y))))

__Jarvis-Judice-Ninke dithering__
plot(normalize(grey2JJNdith(rgb2grey(y))))

__Sierra 2-4a dithering filter__
plot(normalize(grey2S24adith(rgb2grey(y))))

__Stucki dithering__
plot(normalize(grey2Stucki(rgb2grey(y))))

__Burkes dithering__
plot(normalize(grey2Burkes(rgb2grey(y))))

__Sierra2 dithering__
plot(normalize(grey2Sierra2(rgb2grey(y))))

__Sierra3 dithering__
plot(normalize(grey2Sierra3(rgb2grey(y))))

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