Shrinking Minimal surfaces: shrink film and piano wire

Hey guys,

I am trying to simulate the shrinking of stretched lycra with curves that cannot shrink (reduce length) but can bend deposited onto the fabric. I have been exploring minimal surfaces through kangaroo and have found one project that illustrates my idea exactly...

https://vimeo.com/88002087

So far my best attempt has been to use a gridded surface in which the lines of the grid are springs, with a rest length at 80% of their initial length. (call this grid A) This is to simulate as if the material has been stretched 120% of its resting dimensions.

I have been trying to anchor the springs to a secondary grid (Grid B, curves that will be deposited onto the material) at the points of intersection with grid A. 

I am not sure if this is the best approach, maybe soapfilm would be better? although i require the boundary (grid B) to adapt also...

Any advice or attempts to explain how Taichi Kuma has done this in his video would be greatly appreciated.

Thanks