Grasshopper
Unbending wire
Hi all,
I'm working on a project which involves some fairly complicated geometry issues with bending and unbending metal wire and I'd like to ask for your help.
What I'd like to achieve is a definition which would take a closed 3d curve as input and unbend it so that it would form a 2d curve, keeping as much of the original planar curvature as possible and avoiding twisting in the process.
I imagine it would work like this:
What I've come up with so far is a way to identify the "planarity" of the curvature, thus finding the parts of the curve to which (i think) the unbending should apply:
and a mini-tool for the visual display of the curve's twists and bends:
...but I'm kind of stuck here and can't figure out a way how to move on.
I'd be very thankful for any ideas and thoughts on how to approach this problem.
Many thanks,
JJ
I'm working on a project which involves some fairly complicated geometry issues with bending and unbending metal wire and I'd like to ask for your help.
What I'd like to achieve is a definition which would take a closed 3d curve as input and unbend it so that it would form a 2d curve, keeping as much of the original planar curvature as possible and avoiding twisting in the process.
I imagine it would work like this:
What I've come up with so far is a way to identify the "planarity" of the curvature, thus finding the parts of the curve to which (i think) the unbending should apply:
and a mini-tool for the visual display of the curve's twists and bends:
...but I'm kind of stuck here and can't figure out a way how to move on.
I'd be very thankful for any ideas and thoughts on how to approach this problem.
Many thanks,
JJ
Daniel Piker
At the moment it just relaxes rods with zero intrinsic curvature, but I think it should be possible to make it work with a wire does have some intrinsic curvature and apply a force to pull it onto a plane. This will only work if you don't have any intrinsic torsion though (ie you've not bent the wire into a loop, given it a twist and reconnected it). (http://math.arizona.edu/~goriely/res-michel.html)
But maybe this is overkill - there might be a simpler geometric solution in your case - if you can fit your curve to a developable surface then unroll it.
Jun 6, 2010
taz
Might be worth a look.
http://www.rhino3d.com/resources/display.asp?language=en&listin...
Jun 10, 2010