Does anyone know of an out-of-the-box tool or ArcScript that takes completely dissimilar lines (at least two or more) and creates a composite line that's length and geometry is based on a statistical (average, mean, etc.) measurement of the input line values?

Similar to a best-fit line for a group of points, but this output would be a best fit for lines and not necessarily be a straight-line, i.e. if the inputs had many vertices then the output would have a similar number of vertices.

I've attached a crude picture of what I am trying to accomplish. The Red lines are the inputs and the Black line is the hypothetical output.

This seems like it could be a very complicated undertaking and I don't want to reinvent the wheel if someone has already thought through this, or any thoughts about how I could best go about accomplishing this, thanks?

(I posted this in Spatial Statistics, but there is very little traffic there. Hope no one gets upset about me reposting here.)

Similar to a best-fit line for a group of points, but this output would be a best fit for lines and not necessarily be a straight-line, i.e. if the inputs had many vertices then the output would have a similar number of vertices.

I've attached a crude picture of what I am trying to accomplish. The Red lines are the inputs and the Black line is the hypothetical output.

This seems like it could be a very complicated undertaking and I don't want to reinvent the wheel if someone has already thought through this, or any thoughts about how I could best go about accomplishing this, thanks?

(I posted this in Spatial Statistics, but there is very little traffic there. Hope no one gets upset about me reposting here.)

How Collapse Dual Lines To Centerline works

Collapse Dual Lines To Centerline (Coverage)

Collapse Dual Lines To Centerline (Cartography)