[Closed] Blending transforms

Hi, I wrote a script that can save transforms for any objects. Also it shows a preview of stored poses. It works quite well, but now I want to add a slider that will blend between this poses. I made this slider but the problem is that the transforms blend in linear way.

Just like on this image:

But I want to make it blend based on circle curv. Because now it works like stretchy system. How can I made this to work?

Here is a part of script for this slider:

  on BlendPosesSl changed i do
  (
  	if ca.count > 0 then
  	(
  		for b = 1 to (ca.count-1) do
  		(
  			--curTrans[b] - current Trasform of object that is stored
  			--vals[b] - a saved pose
  		temp2=vals[b] * PivotPose.node.transform
  		temp4=(matrix3 [1,0,0] [0,1,0] [0,0,1] [0,0,0]) -- temporary matrix
  		temp4.row1 = (temp2-curTrans[b]).row1 * [i,i,i]
  		temp4.row2 = (temp2-curTrans[b]).row2 * [i,i,i]
  		temp4.row3 = (temp2-curTrans[b]).row3 * [i,i,i]
  
  		temp4.row4.x = (temp2-curTrans[b]).row4.x * i
  		temp4.row4.y = (temp2-curTrans[b]).row4.y * i
  		temp4.row4.z = (temp2-curTrans[b]).row4.z * i
  
  		withBadScale = curTrans[b]+temp4
  		EndTransform = (matrix3 [1,0,0] [0,1,0] [0,0,1] [0,0,0]) -- another tomporary matrix
  		EndTransform.row1 = withBadScale.row1
  		EndTransform.row2 = withBadScale.row2
  		EndTransform.row3 = withBadScale.row3
  		EndTransform.row4 = withBadScale.row4
  		EndTransform.row1 /= withBadScale.scalepart.x
  		EndTransform.row2 /= withBadScale.scalepart.y
  		EndTransform.row3 /= withBadScale.scalepart.z
  		theSourceScale = vals[b].scalepart
  		theTargetScale = EndTransform.scalepart
  		EndTransform.row1 *= (theTargetScale.x + ((theSourceScale.x-1)* i))
  		EndTransform.row2 *= (theTargetScale.x + ((theSourceScale.x-1)* i))
  		EndTransform.row3 *= (theTargetScale.x + ((theSourceScale.x-1)* i))
  		AllObjects[b].node.transform=EndTransform
  		)
  	)
  )