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Howto sweep between two pathes?

YV
yur_vol@yahoo.com
Wed, Mar 4, 2026 11:25 AM

reverse engineering of sax bell I got two curves and import it to openscad.
Now I need a way to build central path and diameter curve.
Or I need to seeep circle between these pathes?

include <BOSL2/std.scad>
  include <BOSL2/turtle3d.scad>
  include<BOSL2/skin.scad>
   // Auto-generated from DXF at 2026-03-04 12:09:49
   path1 = [ [142.351,-41.9274],[133.517,-35.0189],[124.223,-28.7434],[114.513,-23.1316],[104.436,-18.2108],[98.1016,-15.5478],[85.5016,-10.9843],[72.6577,-7.16119],[59.6132,-4.09135],[55.8375,-3.35075],[37.1908,-0.252121],[18.4319,2.07327],[-0.406982,3.62149],[-19.2938,4.38988],[-32.3781,4.46426],[-163.992,3.32967]];
   
   path2= [[-163.425,-66.3214],[-108.964,-65.7541],[-91.1776,-65.8562],[-70.3575,-66.7065],[-49.5844,-68.344],[-28.8882,-70.7665],[-8.29855,-73.9704],[12.1551,-77.9511],[22.6352,-80.5282],[33.8784,-84.0532],[44.8669,-88.3059],[55.5538,-93.2683],[57.9586,-94.577],[62.7517,-97.8196],[67.0805,-101.66],[70.871,-106.033],[76.6622,-113.67] ] ;
color("blue")stroke(path1);
color("red")stroke(path2);
//path_sweep(circle(10),path1, closed=false);
reverse engineering of sax bell I got two curves and import it to openscad.\ Now I need a way to build central path and diameter curve.\ Or I need to seeep circle between these pathes? ``` include <BOSL2/std.scad> ``` ``` include <BOSL2/turtle3d.scad> ``` ``` include<BOSL2/skin.scad> ``` ``` // Auto-generated from DXF at 2026-03-04 12:09:49 ``` ``` path1 = [ [142.351,-41.9274],[133.517,-35.0189],[124.223,-28.7434],[114.513,-23.1316],[104.436,-18.2108],[98.1016,-15.5478],[85.5016,-10.9843],[72.6577,-7.16119],[59.6132,-4.09135],[55.8375,-3.35075],[37.1908,-0.252121],[18.4319,2.07327],[-0.406982,3.62149],[-19.2938,4.38988],[-32.3781,4.46426],[-163.992,3.32967]]; ``` ``` ``` ``` path2= [[-163.425,-66.3214],[-108.964,-65.7541],[-91.1776,-65.8562],[-70.3575,-66.7065],[-49.5844,-68.344],[-28.8882,-70.7665],[-8.29855,-73.9704],[12.1551,-77.9511],[22.6352,-80.5282],[33.8784,-84.0532],[44.8669,-88.3059],[55.5538,-93.2683],[57.9586,-94.577],[62.7517,-97.8196],[67.0805,-101.66],[70.871,-106.033],[76.6622,-113.67] ] ; ``` ``` color("blue")stroke(path1); ``` ``` color("red")stroke(path2); ``` ``` //path_sweep(circle(10),path1, closed=false); ```
YV
yur_vol@yahoo.com
Wed, Mar 4, 2026 1:33 PM
I try closest points, not as good.

include <BOSL2/std.scad>
  include <BOSL2/turtle3d.scad>
  include<BOSL2/skin.scad>
   // Auto-generated from DXF at 2026-03-04 12:09:49
   path1 = [ [142.351,-41.9274],[133.517,-35.0189],[124.223,-28.7434],[114.513,-23.1316],[104.436,-18.2108],[98.1016,-15.5478],[85.5016,-10.9843],[72.6577,-7.16119],[59.6132,-4.09135],[55.8375,-3.35075],[37.1908,-0.252121],[18.4319,2.07327],[-0.406982,3.62149],[-19.2938,4.38988],[-32.3781,4.46426],[-163.992,3.32967]];
   
   path2= [[-163.425,-66.3214],[-108.964,-65.7541],[-91.1776,-65.8562],[-70.3575,-66.7065],[-49.5844,-68.344],[-28.8882,-70.7665],[-8.29855,-73.9704],[12.1551,-77.9511],[22.6352,-80.5282],[33.8784,-84.0532],[44.8669,-88.3059],[55.5538,-93.2683],[57.9586,-94.577],[62.7517,-97.8196],[67.0805,-101.66],[70.871,-106.033],[76.6622,-113.67] ] ;
color("blue")stroke(path1);
color("red")stroke(path2);
//path_sweep(circle(10),path1, closed=false);
path0=resample_path(path1,20,closed=false);
for (pt=path0){
c1 = path_closest_point(path2, pt);
pt2 =c1[1];
path3=[pt,pt2];
color("red") translate(path3) circle(d=3, $fn=12);
stroke([pt,c1[1]]);
//echo(path3);
cpt=[pt[0]-(pt[0]-c1[1][0])/2,pt[1]-(pt[1]-c1[1][1])/2];
//echo("cpt=",cpt);
color("red") translate(cpt) circle(d=3, $fn=12);
}

``` I try closest points, not as good. include <BOSL2/std.scad> ``` ``` include <BOSL2/turtle3d.scad> ``` ``` include<BOSL2/skin.scad> ``` ``` // Auto-generated from DXF at 2026-03-04 12:09:49 ``` ``` path1 = [ [142.351,-41.9274],[133.517,-35.0189],[124.223,-28.7434],[114.513,-23.1316],[104.436,-18.2108],[98.1016,-15.5478],[85.5016,-10.9843],[72.6577,-7.16119],[59.6132,-4.09135],[55.8375,-3.35075],[37.1908,-0.252121],[18.4319,2.07327],[-0.406982,3.62149],[-19.2938,4.38988],[-32.3781,4.46426],[-163.992,3.32967]]; ``` ``` ``` ``` path2= [[-163.425,-66.3214],[-108.964,-65.7541],[-91.1776,-65.8562],[-70.3575,-66.7065],[-49.5844,-68.344],[-28.8882,-70.7665],[-8.29855,-73.9704],[12.1551,-77.9511],[22.6352,-80.5282],[33.8784,-84.0532],[44.8669,-88.3059],[55.5538,-93.2683],[57.9586,-94.577],[62.7517,-97.8196],[67.0805,-101.66],[70.871,-106.033],[76.6622,-113.67] ] ; ``` ``` color("blue")stroke(path1); ``` ``` color("red")stroke(path2); ``` ``` //path_sweep(circle(10),path1, closed=false); ``` ``` path0=resample_path(path1,20,closed=false); ``` ``` for (pt=path0){ ``` ``` c1 = path_closest_point(path2, pt); ``` ``` pt2 =c1[1]; ``` ``` path3=[pt,pt2]; ``` ``` color("red") translate(path3) circle(d=3, $fn=12); ``` ``` stroke([pt,c1[1]]); ``` ``` //echo(path3); ``` ``` cpt=[pt[0]-(pt[0]-c1[1][0])/2,pt[1]-(pt[1]-c1[1][1])/2]; ``` ``` //echo("cpt=",cpt); ``` ``` color("red") translate(cpt) circle(d=3, $fn=12); ``` ``` } ``` 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)