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(PECL imagick 2, PECL imagick 3)

Imagick::sigmoidalContrastImageAdjusts the contrast of an image


public Imagick::sigmoidalContrastImage(
    bool $sharpen,
    float $alpha,
    float $beta,
    int $channel = Imagick::CHANNEL_DEFAULT
): bool

Adjusts the contrast of an image with a non-linear sigmoidal contrast algorithm. Increase the contrast of the image using a sigmoidal transfer function without saturating highlights or shadows. Contrast indicates how much to increase the contrast (0 is none; 3 is typical; 20 is pushing it); mid-point indicates where midtones fall in the resultant image (0 is white; 50 is middle-gray; 100 is black). Set sharpen to true to increase the image contrast otherwise the contrast is reduced.

See also » ImageMagick v6 Examples - Image Transformations — Sigmoidal Non-linearity Contrast



If true increase the contrast, if false decrease the contrast.


The amount of contrast to apply. 1 is very little, 5 is a significant amount, 20 is extreme.


Where the midpoint of the gradient will be. This value should be in the range 0 to 1 - mutliplied by the quantum value for ImageMagick.


Which color channels the contrast will be applied to.


Liefert true bei Erfolg.


Wirft ImagickException bei Fehlern.


Beispiel #1 Create a gradient image using Imagick::sigmoidalContrastImage() suitable for blending two images together smoothly, with the blending defined by $contrast and $the midpoint


function generateBlendImage($width, $height, $contrast = 10, $midpoint = 0.5) {
$imagick = new Imagick();
$imagick->newPseudoImage($width, $height, 'gradient:black-white');
$quanta = $imagick->getQuantumRange();
$imagick->sigmoidalContrastImage(true, $contrast, $midpoint * $quanta["quantumRangeLong"]);



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User Contributed Notes 2 notes

acameron at theatomgroup dot com
10 years ago
The documentation for this function really isn't useful or helpful at all. "Sharpen", "Contrast" and "Midpoint" aren't the names of the params, which are referred to as "alpha" and "beta".

The Imagemagick manual entry:

For those interested, the corrected formula for the 'sigmoidal non-linearity contrast control' is...
( 1/(1+exp(β*(α-u))) - 1/(1+exp(β)) ) / ( 1/(1+exp(β*(α-1))) - 1/(1+exp(β*α)) )
Where α is the threshold level, and β the contrast factor to be applied.
The formula is actually very simple exponential curve, with the bulk of the above formula is designed to ensure that 0 remains zero and 1 remains one. That is, the graph always goes though the points 0,0 and 1,1. And the highest gradient of change is at the given threshold.


In the Imagick extension source, the function call is:

status = MagickSigmoidalContrastImageChannel(intern->magick_wand, channel, sharpen, alpha, beta);


Referring back to the binary API call gives:

foreign import ccall "MagickSigmoidalContrastImageChannel" magickSigmoidalContrastImageChannel
:: Ptr MagickWand
-> ChannelType -- ^ identify which channel to level: `redChannel`, `greenChannel`
-> MagickBooleanType -- ^ increase or decrease image contrast
-> CDouble -- ^ strength of the contrast, the larger the number the more 'threshold-like' it becomes
-> CDouble -- ^ midpoint of the function as a color value 0 to `quantumRange`
-> IO MagickBooleanType


So the parameters should apparently be interpreted:

Sharpen: 0/1 (increase/decrease contrast)
Alpha: Strength of the contrast (typically 3-20)
Beta: Midpoint of the contrast (typically 50)
8 years ago
The formula for sigmoidal contrast given by Thyssen is missing a term. It should be:

( 1/(1+exp(β*(α-u))) - 1/(1+exp(β*α)) ) / ( 1/(1+exp(β*(α-1))) - 1/(1+exp(β*α)) )

where there was an α missing from the second term.

Note that a sigmoidal contrast with α = 6 and β = 0.46 is approximately equivalent to combining a "screen" overlay of the image on itself, followed by a "multiply" overlay.
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