Function Repository Resource:

FloydSteinbergDithering

Source Notebook

Apply Floyd–Steinberg dithering to an image

Contributed by: Richard Hennigan (Wolfram Research)

ResourceFunction["FloydSteinbergDithering"][image]

applies Floyd–Steinberg dithering to image.

ResourceFunction["FloydSteinbergDithering"][image,col]

use col colors per channel.

ResourceFunction["FloydSteinbergDithering"][image,col,err]

scales the quantization error by err to control overall noise.

Details and Options

ResourceFunction["FloydSteinbergDithering"] has the following options:

"ColorsPerChannel"

the default number of colors to use in each channel of the image

"PreserveSize"

False

whether to preserve the original image dimensions

When using the two-argument form of ResourceFunction["FloydSteinbergDithering"], the option setting for "ColorsPerChannel" is ignored.

Examples

Basic Examples (2)

Apply dithering to an image:

In[1]:=

(* Evaluate this cell to get the example input *) CloudGet["https://www.wolframcloud.com/obj/0fa5b408-d8d1-4fc6-b969-3d1616b9805b"]

Out[1]=

Specify the number of colors per channel:

In[2]:=

Out[2]=

In[3]:=

ResourceFunction[
"FloydSteinbergDithering", ResourceSystemBase -> "https://www.wolframcloud.com/obj/resourcesystem/api/1.0"][\!\(\*
GraphicsBox[
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"], {{0, 120}, {160, 0}}, {0, 255},
ColorFunction->GrayLevel],
BoxForm`ImageTag[
"Byte", ColorSpace -> "Grayscale", Interleaving -> None],
Selectable->False],
DefaultBaseStyle->"ImageGraphics",
ImageSize->{97.33333333333337, Automatic},
ImageSizeRaw->{160, 120},
PlotRange->{{0, 160}, {0, 120}}]\), #] & /@ {2, 4, 8, 16}

Out[3]=

Scope (3)

Specify a different number of colors per channel for each channel:

In[4]:=

Out[4]=

See each channel separately:

In[5]:=

Out[5]=

Specify the quantization error parameter to control how "noisy" the image appears:

In[6]:=

Out[6]=

In[7]:=

Out[7]=

Apply directly to an array of data:

In[8]:=

Out[8]=

In[9]:=

Out[9]=

In[10]:=

Out[10]=

Options (4)

PreserveSize (2)

By default, the size of the image will be reduced by 1 on each side:

In[11]:=

(* Evaluate this cell to get the example input *) CloudGet["https://www.wolframcloud.com/obj/2552be0e-d5cf-480d-8a41-346e1a95f893"]

Out[12]=

In[13]:=

Out[13]=

In[14]:=

Out[14]=

Set "PreserveSize" to True to ensure the output has the same dimensions:

In[15]:=

Out[15]=

In[16]:=

Out[16]=

For very small images, using "PreserveSize"→False can yield better image quality:

In[17]:=

$img = \!$\* GraphicsBox[ TagBox[RasterBox[CompressedData[" 1:eJxTTMoPSmNiYGAo5gASQYnljkVFiZXBbCBOamKOsVEOSJILinm7S+1bDgjZ Bxn/slVlWGmzJGynnbtEqP2Da/X2XbNM7YX7s+yAyhiIUfMhOc+OGDWti83s iVHDwNBgT4yavdYh9sSoOaS+3Y4YNV2X5tkQo6ZKnMGOGDVXHgjbE6NGjbnM HgACjZWz "], {{0, 10}, {10, 0}}, {0., 1.}, ColorFunction->GrayLevel], BoxForm`ImageTag[ "Real32", ColorSpace -> Automatic, Interleaving -> None], Selectable->False], DefaultBaseStyle->"ImageGraphics", ImageSize->{27.999999999999932`, Automatic}, ImageSizeRaw->{10, 10}, PlotRange->{{0, 10}, {0, 10}}]$; ImageDimensions[img]$

Out[18]=

In[19]:=

Out[19]=

In[20]:=

Out[20]=

ColorsPerChannel (2)

The value of the "ColorsPerChannel" option is equivalent to using the two-argument form:

In[21]:=

Out[21]=

In[22]:=

Out[22]=

In[23]:=

Out[23]=

If the second argument is provided, the option specification is ignored:

In[24]:=

Out[24]=

Properties and Relations (1)

Use Rasterize to dither arbitrary expressions:

In[25]:=

Out[25]=

In[26]:=

Out[26]=

Possible Issues (3)

When giving a list as the second argument, it must have the same length as the number of image channels:

In[27]:=

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Out[27]=

In[28]:=

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