Developer: RhinoScript
Summary: Demonstrates how to find the closest point on a planar curve to an axis.

I have a bunch of 2-D curves that are planar to the world x-y plane, and I need to find a point in each curve that is closest to the world y-axis. For example:

What can I do to calculate this point?

After selecting the curves and verifying that they are both planar and line in the world x-y plane, calculate the world axis-aligned bounding box for each curve. Using the results of the bounding box calculation, create a line, using the first two points from the results, that is parallel to the world y-axis. Intersect this line with the curve. The results of the intersection will be at the point that is closest to the world y-axis.

The following example demonstrates the above algorithm:

 Option Explicit
 
 Sub ClosestAxisPoint
 
   Dim arrCurves
   arrCurves = Rhino.GetObjects("Select planar curves", 4, True, True)
   If Not IsArray(arrCurves) Then Exit Sub
 
   Dim strCurve, arrPlane(3), arrBox, strLine, arrCCX
   arrPlane(0) = Array(0,0,0)
   arrPlane(1) = Array(1,0,0)
   arrPlane(2) = Array(0,1,0)
   arrPlane(3) = Array(0,0,1)
 
   Rhino.EnableRedraw False
 
   For Each strCurve In arrCurves
     If Rhino.IsCurvePlanar(strCurve) Then
       If Rhino.IsCurveInPlane(strCurve, arrPlane) Then
         arrBox = Rhino.BoundingBox(strCurve)
         strLine = Rhino.AddLine(arrBox(0), arrBox(1))
         arrCCX = Rhino.CurveCurveIntersection(strCurve, strLine)
         If IsArray(arrCCX) Then
           Rhino.AddPoint arrCCX(0,1)
         End If
         Rhino.DeleteObject strLine
       End If
     End If
   Next
 
   Rhino.EnableRedraw True      
 
 End Sub