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add vnf_hull() and hull_region()
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3 changed files with 84 additions and 2 deletions
35
regions.scad
35
regions.scad
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@ -1396,4 +1396,39 @@ module exclusive_or() {
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}
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// Function&Module: hull_region()
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// Synopsis: Compute convex hull of region or 2d path
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// SynTags: Geom, Path
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// Topics: Regions, Polygons, Shapes2D
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// Usage:
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// path = hull_region(region);
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// hull_region(region);
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// Description:
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// Given a path, or a region, compute the convex hull
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// and return it as a path. This differs from {{hull()}} and {{hull2d_path()}} which
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// return an index list into the point list. As a module invokes the native hull() on
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// the specified region.
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// Arguments:
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// region = region or path listing points to compute the hull from.
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// Example(2D, NoAxes):
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data = [star(id=10,od=20,n=9),
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right(30, star(id=12,od=25, n=7))];
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stroke(data);
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stroke([hull_region(data)],color="red");
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function hull_region(region) =
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assert(is_path(region) || is_region(region))
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let(
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pts = is_region(region) ? flatten(region)
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: region,
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order = hull2d_path(pts)
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)
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select(pts,order);
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module hull_region(region)
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{
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hull()region(region);
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}
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// vim: expandtab tabstop=4 shiftwidth=4 softtabstop=4 nowrap
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@ -2958,13 +2958,13 @@ function associate_vertices(polygons, split, curpoly=0) =
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// tex_size=[10,10]
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// );
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// Example(3D): **"dimples"** (VNF) = Round divots. Specify `$fn` to set the number of segments on the cone (will be rounded to a multiple of 4). If you use $fa and $fs then the number of segments is determined for the original VNF scale of 1x1. Giving `border=` specifies the horizontal width of the flat border region between the tile edges and the edge of the dimple. Must be nonnegative and strictly less than 0.5. Default: 0.05.
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// tex = texture("dimples");
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// tex = texture("dimples", $fn=16);
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// linear_sweep(
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// rect(30), texture=tex, h=30,
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// tex_size=[10,10]
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// );
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// Example(3D): **"dots"** (VNF) = Raised round bumps. Specify `$fn` to set the number of segments on the cone (will be rounded to a multiple of 4). If you use $fa and $fs then the number of segments is determined for the original VNF scale of 1x1. Giving `border=` specifies the horizontal width of the flat border region between the tile edge and the edge of the dots. Must be nonnegative and strictly less than 0.5. Default: 0.05.
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// tex = texture("dots");
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// tex = texture("dots", $fn=16);
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// linear_sweep(
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// rect(30), texture=tex, h=30,
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// tex_size=[10,10]
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47
vnf.scad
47
vnf.scad
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@ -1414,6 +1414,53 @@ function vnf_bend(vnf,r,d,axis="Z") =
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) [new_vert,sliced[1]];
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// Function&Module: vnf_hull()
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// Synopsis: Compute convex hull of VNF or 3d path
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// Usage:
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// vnf_hull = hull_vnf(vnf);
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// hull_vnf(vnf,[fast]);
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// Description:
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// Given a VNF or a list of 3d points, compute the convex hull
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// and return it as a VNF. This differs from {{hull()}} and {{hull3d_faces()}} which
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// return just the face list referenced to the input point list. Note that the point
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// list that is returned will contain all the points that are actually used in the input
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// VNF, which may be many more points than are needed to represent the convex hull.
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// This is not usually a problem, but you can run the somewhat slow {{vnf_drop_unused_points()}}
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// function to fix this if necessary.
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// Arguments:
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// region = region or path listing points to compute the hull from.
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// fast = (module only) if input is a point list (not a VNF) use a fasterer cheat that may handle more points, but could emit warnings. Ignored if input is a VNF. Default: false.
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// Example(3D,Big,NoAxes): Input is a VNF
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// ellipse = xscale(2, p=circle($fn=48, r=3));
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// pentagon = subdivide_path(pentagon(r=1), 20);
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// vnf=path_sweep(pentagon, path3d(ellipse),
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// closed=true, twist=360*2);
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// vnfhull = vnf_hull(vnf);
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// vnf_polyhedron(vnf);
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// move([10,10])
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// vnf_polyhedron(vnfhull);
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// Example(2D, NoAxes): Input is a point list
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// h=helix(l=40, turns=1, r=8);
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// color("red")move_copies(h)
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// sphere(r=0.5,$fn=12);
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// vnf_polyhedron(vnf_hull(h));
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function vnf_hull(vnf) =
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assert(is_vnf(vnf) || is_path(vnf,3),"Input must be a VNF or a 3d path")
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let(
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pts = is_vnf(vnf) ? select(vnf[0],unique(flatten(vnf[1])))
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: vnf,
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faces = hull3d_faces(pts)
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)
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[pts, faces];
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module vnf_hull(vnf, fast=false)
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{
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if (is_vnf(vnf)) hull()vnf_polyhedron(vnf);
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else hull_points(vnf, fast);
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}
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// Section: Debugging Polyhedrons
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/// Internal Module: _show_vertices()
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