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# midpt_smooth
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Given a 2D path, this function constructs a mid-point smoothed version by joining the mid-points of the lines of the path.
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**Since:** 1.3
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## Parameters
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- `points` : The path points.
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- `n` : Perform mid-point smoothing n times.
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- `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`.
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## Examples
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include <hull_polyline2d.scad>;
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include <shape_taiwan.scad>;
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include <bijection_offset.scad>;
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include <midpt_smooth.scad>;
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taiwan = shape_taiwan(50);
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smoothed = midpt_smooth(taiwan, 20, true);
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translate([0, 0, 0]) hull_polyline2d(taiwan, .25);
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#translate([10, 0, 0]) hull_polyline2d(smoothed, .25);
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include <hull_polyline2d.scad>;
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include <shape_taiwan.scad>;
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include <bijection_offset.scad>;
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include <midpt_smooth.scad>;
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taiwan = shape_taiwan(100, .5);
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sm = midpt_smooth(taiwan, 1, true);
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*translate([10, 0, 0]) hull_polyline2d(shape_taiwan(100), .1);
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translate([10, 0, 0]) hull_polyline2d(sm, .1);
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echo(len(taiwan));
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midpt_smooth
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midpt_smooth.scad
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trim_shape
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trim_shape_demo.scad
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