Determining a mean camber line

Question

Fellow programmers,

I know this is a little outside your juridistiction, but I was wondering perhaps if you have time, if you could help me with one \"procedure\". Not i

Answer 1

From what I can gather from your diagram, the camber line is defined by it being the line whose tangent bisects the angle between the two tangents of the upper and lower edges.

In other words, your camber line is always the mean point between the two edges, but along a line of shortest distance between the top and bottom edges.

So, given the y-coordinates y=top(x) and y=bot(x), why don't you:

for each x:
  find x2 where top(x)-bot(x2) is minimized
  camber( mean(x,x2) ) = mean( top(x),bot(x2) )

and then interpolate etc.?

edit

Sorry! On second thought I think that should be

  find x2 where ( (top(x)-bot(x2))^2 + (x-x2)^2 ) is minimised

obviously you should be minimising the length of that perpendicular line.

Is that right?