I need to do something like the effect of stretching (clothes effect or jelly) the image so that it stretches for the mouse when you click on some part of it. I use js, pixi.js. I saw the matter js library, but probably in this case, it does not quite fit.

Here is a sample video of what to do: https://youtu.be/4uE0rjYqMWw

The main thing is to implement a similar mechanic.