Given a 2D path, this function constructs a mid-point smoothed version by joining the mid-points of the lines of the path.

**Since:** 1.3

## Parameters

`points`

: The path points.`n`

: Perform mid-point smoothing n times.`closed`

: Is the points a 2D shape? If it's`true`

, the function takes the last point and the first one to calculate a middle point. Default to`false`

.

## Examples

```
use <polyline_join.scad>;
use <shape_taiwan.scad>;
use <midpt_smooth.scad>;
taiwan = shape_taiwan(50);
smoothed = midpt_smooth(taiwan, 20, true);
translate([0, 0, 0])
polyline_join(taiwan)
circle(.125);
#translate([10, 0, 0])
polyline_join(smoothed)
circle(.125);
```