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Added examples for vp tree
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26
vectors.scad
26
vectors.scad
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@ -291,6 +291,18 @@ function _vp_tree(ptlist, ind, leafsize) =
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// tree = vantage point tree from vp_tree
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// p = point to search for
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// r = search radius
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// Example: A set of four queries to find points within 1 unit of the query. The circles show the search region and all have radius 1.
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// $fn=32;
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// k = 2000;
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// points = array_group(rands(0,10,k*2,seed=13333),2);
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// vp = vp_tree(points);
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// queries = [for(i=[3,7],j=[3,7]) [i,j]];
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// search_ind = [for(q=queries) vp_search(points, vp, q, 1)];
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// move_copies(points) circle(r=.08);
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// for(i=idx(queries)){
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// color("blue")stroke(move(queries[i],circle(r=1)), closed=true, width=.08);
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// color("red")move_copies(select(points, search_ind[i])) circle(r=.08);
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// }
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function _vp_search(points, tree, p, r) =
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is_list(tree[0]) ? [for(i=tree[0]) if (norm(points[i]-p)<=r) i]
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:
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@ -324,6 +336,20 @@ function vp_search(points, tree, p, r) =
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// tree = vantage point tree from vp_tree
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// p = point to search for
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// k = number of neighbors to return
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// Example: Four queries to find the 15 nearest points. The circles show the radius defined by the most distant query result. Note they are different for each query.
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// $fn=32;
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// k = 2000;
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// points = array_group(rands(0,10,k*2,seed=13333),2);
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// vp = vp_tree(points);
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// queries = [for(i=[3,7],j=[3,7]) [i,j]];
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// search_ind = [for(q=queries) vp_nearest(points, vp, q, 15)];
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// move_copies(points) circle(r=.08);
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// for(i=idx(queries)){
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// color("red")move_copies(select(points, search_ind[i])) circle(r=.08);
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// color("blue")stroke(move(queries[i],
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// circle(r=norm(points[last(search_ind[i])]-queries[i]))),
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// closed=true, width=.08);
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// }
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function _insert_sorted(list, k, new) =
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len(list)==k && new[1]>= last(list)[1] ? list
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: [
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