Thank you Stefan. I need to do some more practice. I wanted to turn the patch into Nurbs curves approximation of the minimal surface.

Hi Pilou:
I do not remember all the details and exceptions of how energy, area, and minimal curvature are related.

Soap bubbles constrained by curved wires have minimal energy and minimal area, but may not be of minimal curvature.

The Schwarz P-surface is of "minimal curvature," with local mean curvature of zero.

A minimal surface may not have minimal area.

I hope that I got the above right :-) - Brian

Edit: I came across this statement:
"As long as the soap film doesn't actually enclose any air, it will try to minimize its area - so it will end up being a minimal surface"