P.S.: As a side note, this is a very simple "set", which means you might have an easier life with camera projection.

Use a Polarization filter here as well (reflections in Camaer projection images destroy the effect), while you get the reflections later with your objects included.

Hi piece-quality,

Thanks for the extra work, very kind of you.

Here is a demo setup.
CV4_2025_drs_24_Sisb_01.c4d

Please note that the Connector is used, and the other side of the Rope is just fixed in space.

I have added a Random Field to the Gravity to take that "clean-simulation" look out of it. If that is not to your liking, just delete it.

The Rope is just a spline, and the second one is a "Rail" to keep the geometry more in place. The Rail-Scale option in the Sweep is off.

.
I got only half of the file as the sofa was an abc file, which was not attached.

Anyway, I have set up a Mesh deformer. It is faster and can be cached, while the content inside of the Mesh Deformer can be swiftly replaced. (Initiate after replacement).

I hope that works for you.

Enjoy your project

Hi, piece-quality,

Is the cord that covers the soap moving at all? Either way, I would suggest splitting this into two parts. (One part sits around the soap and the other one works like a handle.)

Images have very little information. What animation/simulation do you like to do? Is it practical to do it as a simulation, or perhaps it would be better to do it manually? This would be the first question to explore.

Please share a file (c4d, <1MB or if larger as Dropbox, Apple, Adobe, Google, or Wetransfer service, no shortened URLs, no other cloud services, etc. Security reasons.) Thank you.

Cheers