mirror of
https://github.com/BelfrySCAD/BOSL2.git
synced 2024-12-29 00:09:41 +00:00
Fixed bug with slices = list, added code to avoid duplicate vertices
when only resampling methods are used. Renamed some functions.
This commit is contained in:
Adrian Mariano
parent
e096c193cd
commit
9ce9d708a4
1 changed files with 110 additions and 81 deletions
191
skin.scad
191
skin.scad
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@ -6,14 +6,12 @@
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// include <BOSL2/std.scad>
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// include <BOSL2/skin.scad>
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// ```
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// Derived from list-comprehension-demos skin():
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// Inspired by list-comprehension-demos skin():
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// - https://github.com/openscad/list-comprehension-demos/blob/master/skin.scad
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//////////////////////////////////////////////////////////////////////
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include <vnf.scad>
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// Section: Skinning
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//
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// Function&Module: skin()
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@ -30,7 +28,10 @@ include <vnf.scad>
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// of the skined profiles.
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//
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// The profiles can be specified either as a list of 3d curves or they can be specified as
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// 2d curves with heights given in the `z` parameter.
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// 2d curves with heights given in the `z` parameter. It is your responsibility to ensure
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// that the resulting polyhedron is free from self-intersections, which would make it invalid
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// and can result in cryptic CGAL errors upon rendering, even though the polyhedron appears
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// OK during preview.
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//
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// For this operation to be well-defined, the profiles must all have the same vertex count and
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// we must assume that profiles are aligned so that vertex `i` links to vertex `i` on all polygons.
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@ -136,7 +137,7 @@ include <vnf.scad>
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// Example(FlatSpin):
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// $fn=24;
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// skin([
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// yrot(35, p=yscale(2,p=path3d(circle(d=75)))),
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// yrot(0, p=yscale(2,p=path3d(circle(d=75)))),
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// [[40,0,100], [35,-15,100], [20,-30,100],[0,-40,100],[-40,0,100],[0,40,100],[20,30,100], [35,15,100]]
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// ],slices=10);
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// Example(FlatSpin):
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@ -205,30 +206,34 @@ include <vnf.scad>
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// Example(FlatSpin): Another "tangent" example with non-parallel profiles
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// skin([path3d(pentagon(4)),
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// yrot(35,p=path3d(right(4,p=circle($fn=80,r=2)),5))], slices=10, method="tangent");
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// Example: rounding corners of a square. Note that $fn makes the number of points constant, and avoiding the `rounding=0` case keeps everything simple. In this case, the connections between profiles are linear, so there is no benefit to setting `slices` bigger than zero.
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// Example(FlatSpin): rounding corners of a square. Note that $fn makes the number of points constant, and avoiding the `rounding=0` case keeps everything simple. In this case, the connections between profiles are linear, so there is no benefit to setting `slices` bigger than zero.
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// shapes = [for(i=[.01:.045:2])zrot(-i*180/2,cp=[-8,0,0],p=xrot(90,p=path3d(regular_ngon(n=4, side=4, rounding=i, $fn=64))))];
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// skin( shapes, slices=0);
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// Example: Here's a simplified version of the above, with `i=0` included. That first layer doesn't look good.
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// Example(FlatSpin): Here's a simplified version of the above, with `i=0` included. That first layer doesn't look good.
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// shapes = [for(i=[0:.2:1]) path3d(regular_ngon(n=4, side=4, rounding=i, $fn=32),i*5)];
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// skin( shapes, slices=0);
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// Example: You can fix it by specifying "tangent" for the first method, but you still need "direct" for the rest.
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// Example(FlatSpin): You can fix it by specifying "tangent" for the first method, but you still need "direct" for the rest.
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// shapes = [for(i=[0:.2:1]) path3d(regular_ngon(n=4, side=4, rounding=i, $fn=32),i*5)];
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// skin( shapes, slices=0, method=concat(["tangent"],replist("direct",len(shapes)-2)));
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// Example(FlatSpin): Connecting square to pentagon using "direct" method.
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// skin([regular_ngon(n=4, r=4), regular_ngon(n=5,r=5)], z=[0,4], refine=10, slices=10);
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// Example(FlatSpin): Connecting square to pentagon using "direct" method.
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// skin([regular_ngon(n=4, r=4), right(4)regular_ngon(n=5,r=5)], z=[0,4], refine=10, slices=10);
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// Example(FlatSpin): Connecting square to shifted pentagon using "direct" method.
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// skin([regular_ngon(n=4, r=4), right(4,p=regular_ngon(n=5,r=5))], z=[0,4], refine=10, slices=10);
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// Example(FlatSpin): To improve the look, you can actually rotate the polygons for a more symmetric pattern of lines. You have to resample yourself before calling `align_polygon` and you should choose a length that is a multiple of both polygon lengths.
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// sq = subdivide_path(regular_ngon(n=4, r=4),40);
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// pent = subdivide_path(regular_ngon(n=5,r=5),40);
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// skin([sq, align_polygon(sq,pent,[0:1:360/5])], z=[0,4], slices=10);
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// Example(FlatSpin): For the shifted pentagon we can also align, making sure to pass an appropriate centerpoint to `align_polygon`.
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// sq = subdivide_path(regular_ngon(n=4, r=4),40);
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// pent = right(4,p=subdivide_path(regular_ngon(n=5,r=5),40));
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// skin([sq, align_polygon(sq,pent,[0:1:360/5],cp=[4,0])], z=[0,4], refine=10, slices=10);
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// Example(FlatSpin): The "distance" method is a completely different approach.
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// skin([regular_ngon(n=4, r=4), regular_ngon(n=5,r=5)], z=[0,4], refine=10, slices=10, method="distance");
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// Example(FlatSpin): Connecting pentagon to heptagon inserts two triangular faces on each side
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// small = path3d(circle(r=3, $fn=5));
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// big = up(2,p=yrot( 0,p=path3d(circle(r=3, $fn=7), 6)));
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// skin([small,big],method="distance", slices=10, refine=10);
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// Example(FlatSpin): But just a slight rotation moves the two triangles to one end
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// Example(FlatSpin): But just a slight rotation of the top profile moves the two triangles to one end
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// small = path3d(circle(r=3, $fn=5));
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// big = up(2,p=yrot(14,p=path3d(circle(r=3, $fn=7), 6)));
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// skin([small,big],method="distance", slices=10, refine=10);
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@ -279,7 +284,7 @@ include <vnf.scad>
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// rot(17,p=regular_ngon(n=6, r=3)),
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// rot(37,p=regular_ngon(n=4, r=3))],
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// z=[0,2,4,6,9], method="distance", slices=10, refine=10);
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// Example(FlatSpin): Size of the polygon changes every time
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// Example(FlatSpin): Vertex count of the polygon changes at every profile
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// skin([
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// for (ang = [0:10:90])
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// rot([0,ang,0], cp=[200,0,0], p=path3d(circle(d=100,$fn=12-(ang/10))))
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@ -321,19 +326,20 @@ function skin(profiles, slices, refine=1, method="direct", sampling, caps, close
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let( bad = [for(i=idx(profiles)) if (!(is_path(profiles[i]) && len(profiles[i])>2)) i])
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assert(len(bad)==0, str("Profiles ",bad," are not a paths or have length less than 3"))
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let(
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profcount = len(profiles) - (closed?0:1),
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legal_methods = ["direct","reindex","distance","tangent"],
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caps = is_def(caps) ? caps :
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closed ? false : true,
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capsOK = is_bool(caps) || (is_list(caps) && len(caps)==2 && is_bool(caps[0]) && is_bool(caps[1])),
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fullcaps = is_bool(caps) ? [caps,caps] : caps,
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refine = is_list(refine) ? refine : replist(refine, len(profiles)),
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slices = is_list(slices) ? slices : replist(slices, len(profiles)-1),
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slices = is_list(slices) ? slices : replist(slices, profcount),
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refineOK = [for(i=idx(refine)) if (refine[i]<=0 || !is_integer(refine[i])) i],
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slicesOK = [for(i=idx(slices)) if (!is_integer(slices[i]) || slices[i]<0) i],
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maxsize = list_longest(profiles),
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methodok = is_list(method) || in_list(method, legal_methods),
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methodlistok = is_list(method) ? [for(i=idx(method)) if (!in_list(method[i], legal_methods)) i] : [],
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method = is_string(method) ? replist(method, len(profiles)+ (closed?0:-1)) : method,
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method = is_string(method) ? replist(method, profcount) : method,
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// Define to be zero where a resampling method is used and 1 where a vertex duplicator is used
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RESAMPLING = 0,
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DUPLICATOR = 1,
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@ -342,12 +348,12 @@ function skin(profiles, slices, refine=1, method="direct", sampling, caps, close
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in_list(DUPLICATOR,method_type) ? "segment" : "length"
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)
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assert(len(refine)==len(profiles), "refine list is the wrong length")
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assert(len(slices)==len(profiles)-1, "slices list is the wrong length")
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assert(len(slices)==profcount, "slices list is the wrong length")
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assert(slicesOK==[],str("slices must be nonnegative integers"))
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assert(refineOK==[],str("refine must be postive integer"))
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assert(methodok,str("method must be one of ",legal_methods,". Got ",method))
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assert(methodlistok==[], str("method list contains invalid method at ",methodlistok))
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assert(len(method) == len(profiles) + (closed?0:-1),"Method list is the wrong length")
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assert(len(method) == profcount,"Method list is the wrong length")
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assert(in_list(sampling,["length","segment"]), "sampling must be set to \"length\" or \"segment\"")
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assert(sampling=="segment" || (!in_list("distance",method) && !in_list("tangent",method)), "sampling is set to \"length\" which is only allowed iwith methods \"direct\" and \"reindex\"")
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assert(capsOK, "caps must be boolean or a list of two booleans")
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@ -374,18 +380,23 @@ function skin(profiles, slices, refine=1, method="direct", sampling, caps, close
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parts = search(1,[1,for(i=[0:1:len(profile_resampled)-2]) profile_resampled[i]!=profile_resampled[i+1] ? 1 : 0],0),
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plen = [for(i=idx(parts)) (i== len(parts)-1? len(refined_len) : parts[i+1]) - parts[i]],
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max_list = [for(i=idx(parts)) each replist(max(select(refined_len, parts[i], parts[i]+plen[i]-1)), plen[i])],
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transition_profiles = [for(i=[(closed?0:1):1:len(profiles)-(closed?1:2)]) if (select(method_type,i-1) != method_type[i]) i],
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transition_profiles = [for(i=[(closed?0:1):1:profcount-1]) if (select(method_type,i-1) != method_type[i]) i],
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badind = [for(tranprof=transition_profiles) if (refined_len[tranprof] != max_list[tranprof]) tranprof]
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)
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assert(badind==[],str("Profile length mismatch at method transition at indices ",badind," in skin()"))
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let(
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// With "distance" and "tangent" methods, the path lengths are made equal by inserting
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// repeated vertices, so no further adjustment is required. With "direct" and "reindex"
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// lengths match due to resampling, and we have to upsample to the longest profile.
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samples = in_list("direct", method) || in_list("reindex", method) ? max(refined_len) : 0,
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full_list =
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[for(i=[0:len(profiles)-(closed?1:2)])
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full_list = // If there are no duplicators then use more efficient where the whole input is treated together
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!in_list(DUPLICATOR,method_type) ?
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let(
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resampled = [for(i=idx(profiles)) subdivide_path(profiles[i], max_list[i], method=sampling)],
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fixedprof = [for(i=idx(profiles))
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i==0 || method[i-1]=="direct" ? resampled[i]
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:echo("reindexing") reindex_polygon(resampled[i-1],resampled[i])],
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sliced = slice_profiles(fixedprof, slices, closed)
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)
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!closed ? sliced : concat(sliced,[sliced[0]])
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: // There are duplicators, so use approach where each pair is treated separately
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[for(i=[0:profcount-1])
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let(
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pair =
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method[i]=="distance" ? minimum_distance_match(profiles[i],select(profiles,i+1)) :
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@ -399,7 +410,7 @@ function skin(profiles, slices, refine=1, method="direct", sampling, caps, close
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". Method ",method[i]," requires equal values"))
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refine[i] * len(pair[0])
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)
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each interp_and_slice(pair,slices[i], nsamples, submethod=sampling)]
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each subdivide_and_slice(pair,slices[i], nsamples, method=sampling)]
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)
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_skin_core(full_list,caps=fullcaps);
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@ -459,60 +470,60 @@ function _skin_core(profiles, caps) =
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// plist is list of polygons, N is list or value for number of slices to insert
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// numpoints can be "max", "lcm" or a number
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function interp_and_slice(plist, N, numpoints="max", align=false,submethod="length") =
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// Function: subdivide_and_slice()
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// Usage: subdivide_and_slice(profiles, slices, [numpoints], [method], [closed])
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// Description: Subdivides the input profiles to have length `numpoints` where
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// `numpoints` must be at least as big as the largest input profile.
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// By default `numpoints` is set equal to the length of the largest profile.
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// You can set `numpoints="lcm"` to sample to the least common multiple of
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// all curves, which will avoid sampling artifacts but may produce a huge output.
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// After subdivision, profiles are sliced.
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// Arguments:
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// profiles = profiles to operate on
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// slices = number of slices to insert between each pair of profiles. May be a vector
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// numpoints = number of points after sampling.
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// method = method used for calling `subdivide_path`, either `"length"` or `"segment"`. Default: `"length"`
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// closed = the first and last profile are connected. Default: false
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function subdivide_and_slice(profiles, slices, numpoints, method="length", closed=false) =
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let(
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maxsize = list_longest(plist),
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numpoints = numpoints == "max" ? maxsize :
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numpoints == "lcm" ? lcmlist([for(p=plist) len(p)]) :
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maxsize = list_longest(profiles),
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numpoints = is_undef(numpoints) ? maxsize :
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numpoints == "lcm" ? lcmlist([for(p=profiles) len(p)]) :
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is_num(numpoints) ? round(numpoints) : undef
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)
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assert(is_def(numpoints), "Parameter numpoints must be \"max\", \"lcm\" or a positive number")
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assert(numpoints>=maxsize, "Number of points requested is smaller than largest profile")
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let(fixpoly = [for(poly=plist) subdivide_path(poly, numpoints,method=submethod)])
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add_slices(fixpoly, N);
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let(fixpoly = [for(poly=profiles) subdivide_path(poly, numpoints,method=method)])
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slice_profiles(fixpoly, slices, closed);
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function add_slices(plist,N) =
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assert(is_num(N) || is_list(N))
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let(listok = !is_list(N) || len(N)==len(plist)-1)
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assert(listok, "Input N to add_slices is a list with the wrong length")
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// Function slice_profiles()
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// Usage: slice_profiles(profiles,slices,[closed])
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// Description:
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// Given an input list of profiles, linearly interpolate between each pair to produce a
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// more finely sampled list. The parameters `slices` specifies the number of slices to
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// be inserted between each pair of profiles and can be a number or a list.
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// Arguments:
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// profiles = list of paths to operate on. They must be lists of the same shape and length.
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// slices = number of slices to insert between each pair, or a list to vary the number inserted.
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// closed = set to true if last profile connects to first one. Default: false
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function slice_profiles(profiles,slices,closed=false) =
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assert(is_num(slices) || is_list(slices))
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let(listok = !is_list(slices) || len(slices)==len(profiles)-(closed?0:1))
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assert(listok, "Input slices to slice_profiles is a list with the wrong length")
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let(
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count = is_num(N) ? replist(N,len(plist)-1) : N,
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slicelist = [for (i=[0:len(plist)-2])
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each [for(j = [0:count[i]]) lerp(plist[i],plist[i+1],j/(count[i]+1))]
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count = is_num(slices) ? replist(slices,len(profiles)-(closed?0:1)) : slices,
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slicelist = [for (i=[0:len(profiles)-(closed?1:2)])
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each [for(j = [0:count[i]]) lerp(profiles[i],select(profiles,i+1),j/(count[i]+1))]
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]
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)
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concat(slicelist, [plist[len(plist)-1]]);
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concat(slicelist, closed?[]:[profiles[len(profiles)-1]]);
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// Function: unique_count()
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// Usage:
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// unique_count(arr);
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// Description:
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// Returns `[sorted,counts]` where `sorted` is a sorted list of the unique items in `arr` and `counts` is a list such
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// that `count[i]` gives the number of times that `sorted[i]` appears in `arr`.
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// Arguments:
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// arr = The list to analyze.
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function unique_count(arr) =
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assert(is_list(arr)||is_string(list))
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len(arr)==0 ? [[],[]] :
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len(arr)==1 ? [arr,[1]] :
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_unique_count(sort(arr), ulist=[], counts=[], ind=1, curtot=1);
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function _unique_count(arr, ulist, counts, ind, curtot) =
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ind == len(arr)+1 ? [ulist, counts] :
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ind==len(arr) || arr[ind] != arr[ind-1] ? _unique_count(arr,concat(ulist,[arr[ind-1]]), concat(counts,[curtot]),ind+1,1) :
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_unique_count(arr,ulist,counts,ind+1,curtot+1);
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///////////////////////////////////////////////////////
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//////////////////////////////////////////////////////////////////
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//
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// Minimum Distance Mapping using Dynamic Programming
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//
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// Given inputs of a two polygons, computes a mapping between their vertices that minimizes the sum the sum of
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// the distances between every matched pair of vertices. The algorithm uses dynamic programming to calculate
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// the optimal mapping under the assumption that poly1[0] <-> poly2[0]. We then rotate through all the
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@ -548,7 +559,6 @@ _MAP_DIAG = 0;
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_MAP_LEFT = 1;
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_MAP_UP = 2;
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/*
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function _dp_distance_array(small, big, abort_thresh=1/0, small_ind=0, tdist=[], map=[]) =
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small_ind == len(small)+1 ? [tdist[len(tdist)-1][len(big)-1], map] :
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@ -614,6 +624,17 @@ function _dp_extract_map(map) =
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if (i==0 && j==0) each [smallmap,bigmap]];
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// Function: minimum_distance_match()
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// Usage: minimum_distance_match(poly1,poly2)
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// Description:
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// Find a way of associating the vertices of poly1 and vertices of poly2
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// that minimizes the sum of the length of the edges that connect the two polygons.
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// Polygons can be in 2d or 3d. The algorithm has cubic run time, so it can be
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// slow if you pass large polygons. The output is a pair of polygons with vertices
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// duplicated as appropriate to be used as input to `skin()`.
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// Arguments:
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// poly1 = first polygon to match
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// poly2 = second polygon to match
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function minimum_distance_match(poly1,poly2) =
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let(
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swap = len(poly1)>len(poly2),
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@ -646,18 +667,27 @@ function minimum_distance_match(poly1,poly2) =
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newbig = polygon_shift(repeat_entries(map_poly[1],unique_count(bigmap)[1]),bigshift)
|
||||
)
|
||||
swap ? [newbig, newsmall] : [newsmall,newbig];
|
||||
|
||||
|
||||
//
|
||||
//////////////////////////////////////////////////////////////////////////////////////////////////////////////
|
||||
//////////////////////////////////////////////////////////////////////////////////////////////////////////////
|
||||
|
||||
//
|
||||
// Function: tangent_align()
|
||||
// Usage: tangent_align(poly1, poly2)
|
||||
// Description:
|
||||
// Finds a mapping of the vertices of the larger polygon onto the smaller one. Whichever input is the
|
||||
// shorter path is the polygon, and the longer input is the curve. For every edge of the polygon, the algorithm seeks a plane that contains that
|
||||
// edge and is tangent to the curve. There will be more than one such point. To choose one, the algorithm centers the polygon and curve on their centroids
|
||||
// and chooses the closer tangent point. The algorithm works its way around the polygon, computing a series of tangent points and then maps all of the
|
||||
// points on the curve between two tangent points into one vertex of the polygon. This algorithm can fail if the curve has too few points or if it is concave.
|
||||
// Arguments:
|
||||
// poly1 = input polygon
|
||||
// poly2 = input polygon
|
||||
function tangent_align(poly1, poly2) =
|
||||
let(
|
||||
swap = len(poly1)>len(poly2),
|
||||
big = swap ? poly1 : poly2,
|
||||
small = swap ? poly2 : poly1,
|
||||
curve_offset = centroid(small)-centroid(big),
|
||||
cutpts = [for(i=[0:len(small)-1]) find_one_tangent(big, select(small,i,i+1),curve_offset=curve_offset)],
|
||||
cutpts = [for(i=[0:len(small)-1]) _find_one_tangent(big, select(small,i,i+1),curve_offset=curve_offset)],
|
||||
d=echo(cutpts = cutpts),
|
||||
shift = select(cutpts,-1)+1,
|
||||
newbig = polygon_shift(big, shift),
|
||||
|
|
@ -668,20 +698,19 @@ function tangent_align(poly1, poly2) =
|
|||
swap ? [newbig, newsmall] : [newsmall, newbig];
|
||||
|
||||
|
||||
function find_one_tangent(curve, edge, curve_offset=[0,0,0], closed=true) =
|
||||
function _find_one_tangent(curve, edge, curve_offset=[0,0,0], closed=true) =
|
||||
let(
|
||||
angles =
|
||||
[for(i=[0:len(curve)-(closed?1:2)])
|
||||
let(
|
||||
plane = plane3pt( edge[0], edge[1], curve[i]),
|
||||
tangent = [curve[i], select(curve,i+1)]
|
||||
[for(i=[0:len(curve)-(closed?1:2)])
|
||||
let(
|
||||
plane = plane3pt( edge[0], edge[1], curve[i]),
|
||||
tangent = [curve[i], select(curve,i+1)]
|
||||
)
|
||||
plane_line_angle(plane,tangent)],
|
||||
plane_line_angle(plane,tangent)],
|
||||
zero_cross = [for(i=[0:len(curve)-(closed?1:2)]) if (sign(angles[i]) != sign(select(angles,i+1))) i],
|
||||
d = [for(i=zero_cross) distance_from_line(edge, curve[i]+curve_offset)]
|
||||
)
|
||||
zero_cross[min_index(d)];//zcross;
|
||||
|
||||
)
|
||||
zero_cross[min_index(d)];
|
||||
|
||||
|
||||
function plane_line_angle(plane, line) =
|
||||
|
|
|
|||
Loading…
Reference in a new issue