Interpolate Curve in Tangency At the Middle

Hello,

I am trying to draw a curve which has:

  • 5 points
  • the 2 extremes are at (0,0,0) and (0,0,976) (the last point is 38.5 inch away from the first point)
  • a local maximum (tangency) at the third point (in this case at 25,0,200)
  • 2 and 4 can control the overal curve shape

Can someone indicate the command to use to reach such result please?
I tried interpolate curve with tangency but could only manage to have tagency at an extreme.

Thank you!

(I included a simple file with the curve of the picture. The red dot is the local extremum).

Curve Interpolate.3dm (29.8 KB)

Hello- is this what you are shooting for?

Curve InterpolateMaybe.3dm (33.7 KB)

-Pascal

@pascal Thank you for your answer!

This is cool, did not know that command.
I think this works out as you are able to move the 2 points around the dragged point and change the shape along the tangent line while maintaining the constraint. Thank you!

Hi @pascal.

I was going through the Thirty Six Verts lessons on surfacing.
Taking into account the constraint as discussed previously and using Hbar as you showed, how do you make sure you have a nice single span curve with not more than 6 degrees before the bottom line?
Constraints - New Line.3dm (37.6 KB)

Thank you,

Tom

Hi Tom - can the new blend curve start at the far end of one of the lines (0,0,0)? That looks like the only way you can get a fully convex curve from this input, and even then with a lot of curvature change at the top.

image

-Pascal

Hi @pascal. Thank you for your tips!
We could blend the curve until (0,0,0), as long as we could control the bottom curvature easily.
Is the red line on the bottom an extension of one of the previous lines?

Once you join the blend with the upper curve, is there a way to clean the curvature (single span, few points) while keeping the constraints?