Vachmi

The <feDisplacementMap> 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 i.e. in
P'(x,y) is the outcome or the result of filtering
XC(x,y) and YC(x,y) are the component values of the channel designated by xChannelSelector and yChannelSelector.

Attributes

Attribute
Description
in
Identifies the input for the compositing operation
in2
The second input image to the compositing operation. This attribute can take on the same values as the ‘in’ attribute.
scale
This defines the displacement scale factor. The amount is expressed in the coordinate system established by the primitiveUnits attribute on the <filter> element.

When the value of this attribute is 0, this operation has no effect on the source image.
xChannelSelector
This attribute indicates which channel from in2 to use to displace the pixels in in along the x-axis. If attribute xChannelSelector is not specified, then the effect is as if a value of A were specified.

Possible values are
R | G | B | A
yChannelSelector
This attribute indicates which channel from in2 to use to displace the pixels in in along the y-axis. If attribute xChannelSelector is not specified, then the effect is as if a value of A were specified.

Possible values are
R | G | B | A

Here is the SVG code to draw this filter.

Original Image with no filter
<svg id='path1' xmlns='http://www.w3.org/2000/svg' viewBox='0 0 100 100'>
 <ellipse cx="50" cy="50" rx="40" ry="30" fill="orange"/>
</svg>


Image with feDisplacementMap filter effect
<svg id='path2' xmlns='http://www.w3.org/2000/svg' viewBox='0 0 100 100'>
 <defs>
  <filter id="displaceMe1">
   <feTurbulence type="turbulence" baseFrequency="0.5" numOctaves="3" result="turbulence"/ >
   <feDisplacementMap in2="turbulence" in="SourceGraphic" scale="-50" xChannelSelector="R" yChannelSelector="G"/>
  </filter>
 </defs>
<ellipse cx="50" cy="50" rx="40" ry="30" fill="orange" filter="url(#displaceMe1)">