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I want to be able to start with the raw white text (font is bank gothic) and replicate the shadow effect pixel for pixel (or as closely as possible).

I have tried many different blur effects in GIMP but just can't get it looking exactly the same.

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    Copy the layer, paste it, modify it, repeat - technologic – Zach Saucier Apr 2 '18 at 16:15
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    I'm looking for a more algorithmic approach as i want to apply the effect to any possible text and if i apply the effect to the same text but at different times, each result should be identicle. – Nataly Apr 2 '18 at 16:45
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    You can do that approach algorithmically – Zach Saucier Apr 2 '18 at 17:27
  • Additionally you can make this into an action to run on any text. – Ovaryraptor Apr 2 '18 at 18:18
  • IMHO isn't (only) a blur... What I see is that there are overlapping copies of the characters each with an individual random vertical and horizontal displacement. But since the important word is "random" "pixel for pixel" is going to be difficult. the ofn-text-along-path script can generate a text path where each character is randomly displaced. – xenoid Apr 2 '18 at 19:47

Something quite similar (not "precisely") can be done semi-automatically with the Layer Effects plug-in in GIMP, and a little extra manual work.

To install the plugin save the layerfx.2.8.py file in your GIMP plug-ins folder, and relaunch the application.

With a text layer selected, click Layers > Layer Effects > Drop Shadow

Use these settings shown below. You may need to adjust the size and distance setting depending on the size of the text.

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Then you could select the green shadow layer, apply a transform (Shift+T) to stretch it horizontally, and squish it vertically a bit.

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This is the result

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It's also possible to duplicate the green shadow layer, and adjust the position and opacities, and get something a bit more random

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