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Showing content from http://developer.mozilla.org/en-US/docs/Web/SVG/Reference/Element/feDisplacementMap below:

<feDisplacementMap> - SVG | MDN

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The <feDisplacementMap> SVG filter primitive uses the pixel values from the image from in2 to spatially displace the image from in.

The formula for the transformation looks like this:

P'(x,y) ← P(x + scale * (XC(x,y) - 0.5), y + scale * (YC(x,y) - 0.5))

where P(x,y) is the input image, in, and P'(x,y) is the destination. XC(x,y) and YC(x,y) are the component values of the channel designated by xChannelSelector and yChannelSelector.

Like other filter primitives, it handles color components in the linearRGB color space by default. You can use color-interpolation-filters to use sRGB instead.

This element implements the SVGFEDisplacementMapElement interface.

<svg
  width="200"
  height="200"
  viewBox="0 0 220 220"
  xmlns="http://www.w3.org/2000/svg">
  <filter id="displacementFilter">
    <feTurbulence
      type="turbulence"
      baseFrequency="0.05"
      numOctaves="2"
      result="turbulence" />
    <feDisplacementMap
      in2="turbulence"
      in="SourceGraphic"
      scale="50"
      xChannelSelector="R"
      yChannelSelector="G" />
  </filter>

  <circle cx="100" cy="100" r="100" filter="url(#displacementFilter)" />
</svg>

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