# R is a cool image editor #2: Dithering algorithms

August 29, 2011
By

(This article was first published on Statistic on aiR, and kindly contributed to R-bloggers)

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)
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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