How to implement the feature like "Liquify / Forward Warp Tool" in photoshop using Unity?

Question

I'm trying to implement that when dragging the circle cursor on the texture, warp the texture like Fitlers/Liquify/Forward Warp Tool in photoshop.

enter image description here

This is the code what I implemented.

public Texture2D backgroundTexture;
 private Color[] backuppixels;
 public void OnMouseDownEvent(MouseDownEvent evt)
 {
        backuppixels = backgroundTexture.GetPixels();
 }
 public void OnMouseMoveEvent(MouseMoveEvent evt)
 {
       //some code
        WarpTexture(currentposition, delta);
 }
 private void WarpTexture(Vector2 textmousepos, Vector2 delta)
 {
     Color[] pixels = backgroundTexture.GetPixels();
      
     for (int y = 0; y < backgroundTexture.height; y++)
     {
         for (int x = 0; x < backgroundTexture.width; x++)
         {
             var distance = (new Vector2(textmousepos.x, textmousepos.y)
                                - new Vector2(x,y)).magnitude;
             if (distance < radius)
             {
                 int index = y * backgroundTexture.width + x;
                 float factor = Mathf.Pow(distance, warpStrength);
                 Vector2 pixelpos = new Vector2(x, y) - delta;
                 int pixelx = Mathf.FloorToInt(pixelpos.x);
                 int pixely = Mathf.FloorToInt(pixelpos.y);
                 pixelx = Mathf.Clamp(pixelx, 0, backgroundTexture.width - 1);
                 pixely = Mathf.Clamp(pixely, 0, backgroundTexture.height - 1);
                 int pxielindex = pixely * backgroundTexture.width + pixelx;
                 pixels[index] = backuppixels[pxielindex];
             }
         }
     }
     backgroundTexture.SetPixels(pixels);
     backgroundTexture.Apply();
 }

enter image description here This picture is what I implemented.

First, I found the pixels on the cursor. Second, when dragging set pixel colors using "delta" and "backuppixels".

It works but not warp texture smoothly like in photoshop. I think, the math formula what I used is not perfect. Any help will be appreciated.