Morphing between curves

Is there a way to create morphing curves between 2 curves, such that they alter gradually until becoming the other curve. This would help create a joined 3D topo surface without planar folding. I have been unable to find an answer. I have included an example diagram of what I am trying to do and an example of what I refer to as planar folding when curves exist on the same plane . I am studying topography and shadow generations. I suspect the math required for this might be interesting...

Parameters required:

Number of lines between two curves.

Attachments:

Grasshopper Question.jpg, 66 KB
curve issue.JPG, 24 KB

Replies to This Discussion

Permalink Reply by peter fotiadis on May 4, 2016 at 5:10am

Like this?

Attachments:

Mean_curves_V1.gh, 123 KB

Permalink Reply by peter fotiadis on May 4, 2016 at 5:58am

BTW: This is available only in R6

But this is available if you want to use native components:

Permalink Reply by peter fotiadis on May 4, 2016 at 6:18am

And using the Tween in parallel

Attachments:

Mean_curves_V1A.gh, 126 KB

Permalink Reply by John Cullen on May 4, 2016 at 8:00pm

Thanks, this script will be helpful. But doesn't solve the pinched region. I have included a screen capture of your script and the curves I'm trying to solve. The curves created leave the interior between the two cures, ie go outside the curves. The curve divisions should follow around the curve through the pinched section in a way that they get very close together, in the way contours do such that a sharp ridge is formed across the pinched section. I trust I have explained this well. :) I do appreciate your help and your speedy response.

Attachments:

contour curves2.JPG, 48 KB

Permalink Reply by peter fotiadis on May 4, 2016 at 11:59pm

Well ... obviously I can think a zillion cases where such an entry level approach could run out of steam (it was just a 5 minute job using portions of code available for other purposes).

PS: Nor the tween component could cut the mustard either.

Solution: several lines of code are required for that one.