voronoi preview

examples/taiwan/dancing_taiwan.scad

@@ -2,7 +2,7 @@ use <trim_shape.scad>;
 use <bezier_curve.scad>;
 use <shape_taiwan.scad>;
 use <path_scaling_sections.scad>;
-use <polysections.scad>;
+use <sweep.scad>;
 use <ptf/ptf_rotate.scad>;
 use <bijection_offset.scad>;
 
@@ -54,8 +54,8 @@ module dancing_formosan(x1, x2, x3, y1, y2, y3, twist, t_step) {
     sections2 = cal_sections(taiwan2, edge_path2, twist);
 
     difference() {
-        polysections(sections);
-        polysections(sections2);
+        sweep(sections);
+        sweep(sections2);
     }
 
     translate([0, 0, -2]) 

examples/voronoi/voronoi_bracelet.scad

@@ -1,5 +1,5 @@
 use <hollow_out.scad>;
-use <voronoi2d.scad>;
+use <voronoi/vrn2_from.scad>;
 use <bend_extrude.scad>;
 
 r = 35;
@@ -30,7 +30,7 @@ module voronoi_bracelet(r, height, thickness, n, frags, offset_r, region_type) {
     {
         difference() {
             square([x, y]);
-            voronoi2d(points, spacing = thickness, r = offset_r, region_type = region_type);
+            vrn2_from(points, spacing = thickness, r = offset_r, region_type = region_type);
         }
         hollow_out(thickness * 1.5)
             square([x, y]);

examples/voronoi/voronoi_fibonacci.scad

@@ -1,7 +1,7 @@
 use <golden_spiral.scad>;
 use <ptf/ptf_rotate.scad>;
 use <hollow_out.scad>;
-use <experimental/voronoi_cells.scad>;
+use <voronoi/vrn2_cells_from.scad>;
 
 spirals = 2;     // [2:]
 line_thickness = .5;
@@ -33,7 +33,7 @@ module voronoi_fibonacci() {
     half_line_thicness = line_thickness / 2;
     lst_r = norm(spiral[len(spiral) - 1]) + half_line_thicness;
 
-    cells = voronoi2d_cells(pts);    
+    cells = vrn2_cells_from(pts);    
     for(i = [0:len(pts) - 1]) {
         cell = cells[i];
         

examples/voronoi/voronoi_penholder.scad

@@ -1,4 +1,4 @@
-use <experimental/voronoi_square.scad>;
+use <voronoi/vrn2_space.scad>;
 use <bend_extrude.scad>;
 use <arc.scad>;
 
@@ -11,7 +11,7 @@ $fn = 24;
 
 color("black")
 bend_extrude(size, thickness = thickness, angle = 360) 
-    voronoi_square(size, grid_w, seed, spacing);
+    vrn2_space(size, grid_w, seed, spacing);
 
 r = size[0] / (2 * PI);
 linear_extrude(size[1])

examples/voronoi/voronoi_torus.scad

@@ -1,10 +1,10 @@
-use <experimental/voronoi_square_cells.scad>;
+use <voronoi/vrn2_space_cells.scad>;
 use <hull_polyline3d.scad>;
 use <ptf/ptf_torus.scad>;
 
 size = [40, 80];
 grid_w = 5;
-cells = voronoi_square_cells(size, grid_w);
+cells = vrn2_space_cells(size, grid_w);
 
 $fn = 4;
 

examples/voronoi/voronoi_vase.scad

@@ -1,7 +1,7 @@
-use <voronoi3d.scad>;
+use <voronoi/vrn3_from.scad>;
 use <bezier_curve.scad>;
 use <hollow_out.scad>;
-use <polysections.scad>;
+use <sweep.scad>;
 
 r = 13;
 h = 60;
@@ -44,13 +44,13 @@ module voronoi_vase(r, h, thickness, num_of_pts, fn, profile_step) {
         
         difference() {
             scale([0.95, 0.95, 1]) 
-                polysections(sections);
+                sweep(sections);
             scale([0.85, 0.85, 1]) 
-                polysections(sections);
+                sweep(sections);
             intersection() {
-                polysections(sections);
+                sweep(sections);
                 render() 
-                    voronoi3d(concat([for(i = indices) pts[i]],  [sections[0][0], sections[0][half_fn], sections[last_section_i][0], sections[last_section_i][half_fn]]));  
+                    vrn3_from(concat([for(i = indices) pts[i]],  [sections[0][0], sections[0][half_fn], sections[last_section_i][0], sections[last_section_i][half_fn]]));  
             }
         }
 

src/experimental/_impl/_convex_intersection_impl.scad

@@ -1,4 +1,4 @@
-use <intersection_p.scad>;
+use <lines_intersection.scad>;
 
 function _intersection_ps(shape, line_pts, epsilon) = 
     let(
@@ -7,6 +7,6 @@ function _intersection_ps(shape, line_pts, epsilon) =
     )
     [
         for(i = [0:leng - 1]) 
-        let(p = intersection_p(line_pts, [pts[i], pts[i + 1]], epsilon = epsilon))
+        let(p = lines_intersection(line_pts, [pts[i], pts[i + 1]], epsilon = epsilon))
         if(p != []) p
     ];

src/experimental/demo/vrn2_cells_from.scad

@@ -1,12 +1,12 @@
 use <hull_polyline2d.scad>;
 use <shape_square.scad>;
-use <experimental/voronoi_cells.scad>;
+use <voronoi/vrn2_cells_from.scad>;
 
 xs1 = rands(-20, 20, 15);
 ys1 = rands(-20, 20, 15);
 points = [for(i = [0:len(xs1) - 1]) [xs1[i], ys1[i]]];
 
-cells = voronoi_cells(points);
+cells = vrn2_cells_from(points);
 for(i = [0:len(points) - 1]) {
     pt = points[i];
     cell = cells[i];

src/experimental/demo/vrn2_space_cells_demo.scad

@@ -1,9 +1,9 @@
 use <hull_polyline2d.scad>;
-use <experimental/voronoi_square_cells.scad>;
+use <voronoi/vrn2_space_cells.scad>;
 
 size = [20, 20];
 grid_w = 5;
-cells = voronoi_square_cells(size, grid_w);
+cells = vrn2_space_cells(size, grid_w);
 
 for(cell = cells) {
     cell_pt = cell[0];

src/experimental/note.md

@@ -1,13 +1,16 @@
 to_do:
 
 - deprecate `trianglate`, use `tri_ear_clipping`.
-- deprecate `pixel`
+
+- deprecate `pixel...`
+- deprecate `voronoi2d`, `voronoi3d`
 
 improved:
 
 - polyline2d: improved middle-point drawing, support joinStyle
 
 2.4 preview:
+- voronoi/...
 - voxel/....
 - lines_intersection2
 - util/sum

src/voronoi/_impl/_convex_center_p.scad

@@ -0,0 +1,3 @@
+use <../../util/sum.scad>;
+
+function _convex_center_p(points) = sum(points) / len(points);

src/voronoi/_impl/_convex_ct_clk_order.scad

@@ -0,0 +1,10 @@
+use <../../util/sort.scad>;
+use <_convex_center_p.scad>;
+
+function _convex_ct_clk_order(points) =
+    let(
+        cpt = _convex_center_p(points),
+        pts_as = [for(p = points) [p, atan2(p[1] - cpt[1], p[0] - cpt[0])]],
+        sorted = sort(pts_as, by = "idx", idx = 1)
+    )
+    [for(v = sorted) v[0]];

src/voronoi/_impl/_convex_intersection.scad

@@ -0,0 +1,29 @@
+
+use <../../in_shape.scad>;
+use <../../lines_intersection.scad>;
+use <_convex_ct_clk_order.scad>;
+
+function _intersection_ps(shape, line_pts, epsilon) = 
+    let(
+        leng = len(shape),
+        pts = concat(shape, [shape[0]])
+    )
+    [
+        for(i = [0:leng - 1]) 
+        let(p = lines_intersection(line_pts, [pts[i], pts[i + 1]], epsilon = epsilon))
+        if(p != []) p
+    ];
+
+function _convex_intersection(shape1, shape2, epsilon = 0.0001) =
+    (shape1 == [] || shape2 == []) ? [] :
+    let(
+        leng = len(shape1),
+        pts = concat(shape1, [shape1[0]])
+    )
+    _convex_ct_clk_order(
+        concat(
+            [for(p = shape1) if(in_shape(shape2, p, include_edge = true)) p], 
+            [for(p = shape2) if(in_shape(shape1, p, include_edge = true)) p],
+            [for(i = [0:leng - 1]) each _intersection_ps(shape2, [pts[i], pts[i + 1]], epsilon)] 
+        )
+    );  

src/voronoi/_impl/_convex_intersection_for.scad

@@ -0,0 +1,18 @@
+use <_convex_intersection.scad>;
+
+function _convex_intersection_for_impl(shapes, pre, leng, i = 2) = 
+    i == leng ? pre :
+    let(r = _convex_intersection(pre, shapes[i]))
+    r == [] ? [] 
+            : _convex_intersection_for_impl(shapes, 
+                  r, 
+                  leng, i + 1
+              );
+                
+function _convex_intersection_for(shapes) = 
+    let(leng = len(shapes))
+    _convex_intersection_for_impl(
+        shapes, 
+        _convex_intersection(shapes[0], shapes[1]), 
+        leng
+    );

src/voronoi/_impl/_vrn2_cells_from_impl.scad

@@ -1,4 +1,4 @@
-use <ptf/ptf_rotate.scad>;
+use <../../ptf/ptf_rotate.scad>;
 
 function _default_region_size(points) = 
     let(

src/voronoi/vrn2_cells_from.scad

@@ -1,8 +1,8 @@
-use <experimental/_impl/_voronoi2d_cells_impl.scad>;
-use <experimental/convex_intersection_for.scad>;
-use <shape_square.scad>;
+use <_impl/_vrn2_cells_from_impl.scad>;
+use <_impl/_convex_intersection_for.scad>;
+use <../shape_square.scad>;
 
-function voronoi_cells(points) = 
+function vrn2_cells_from(points) = 
     let(
         size = _default_region_size(points),
         half_size = size * 0.5,
@@ -14,5 +14,5 @@ function voronoi_cells(points) =
     )
     [
         for(regions = regions_lt)
-            convex_intersection_for(regions)
+            _convex_intersection_for(regions)
     ];

src/voronoi/vrn2_from.scad

@@ -0,0 +1,55 @@
+/**
+* vrn2_from.scad
+*
+* @copyright Justin Lin, 2020
+* @license https://opensource.org/licenses/lgpl-3.0.html
+*
+* @see https://openhome.cc/eGossip/OpenSCAD/lib2x-vrn2_from.html
+*
+**/
+
+module vrn2_from(points, spacing = 1, r = 0, delta = 0, chamfer = false, region_type = "square") {
+    xs = [for(p = points) p[0]];
+    ys = [for(p = points) abs(p[1])];
+
+    region_size = max([(max(xs) -  min(xs) / 2), (max(ys) -  min(ys)) / 2]);    
+    half_region_size = 0.5 * region_size; 
+    offset_leng = spacing * 0.5 + half_region_size;
+
+    function normalize(v) = v / norm(v);
+    
+    module region(pt) {
+        intersection_for(p = points) {
+            if(pt != p) {
+                v = p - pt;
+                translate((pt + p) / 2 - normalize(v) * offset_leng)
+                rotate(atan2(v[1], v[0]))
+                    children();
+            }
+        }
+    }    
+
+    module offseted_region(pt) {
+        if(r != 0) {
+            offset(r) 
+            region(pt) 
+                children();
+        }
+        else {
+            offset(delta = delta, chamfer = chamfer) 
+            region(pt) 
+                children();
+        }     
+    }
+    
+    for(p = points) {	
+        if(region_type == "square") {
+            offseted_region(p)
+                square(region_size, center = true);
+        }
+        else {
+            offseted_region(p)
+                circle(half_region_size);
+        }
+    }
+}

src/voronoi/vrn2_space.scad

@@ -1,4 +1,4 @@
-module voronoi_square(size, grid_w, seed, spacing = 1, r = 0, delta = 0, chamfer = false, region_type = "square") {
+module vrn2_space(size, grid_w, seed, spacing = 1, r = 0, delta = 0, chamfer = false, region_type = "square") {
     _noise_table = [0.592157, 0.627451, 0.537255, 0.356863, 0.352941, 0.0588235, 0.513725, 0.0509804, 0.788235, 0.372549, 0.376471, 0.207843, 0.760784, 0.913725, 0.027451, 0.882353, 0.54902, 0.141176, 0.403922, 0.117647, 0.270588, 0.556863, 0.0313725, 0.388235, 0.145098, 0.941176, 0.0823529, 0.0392157, 0.0901961, 0.745098, 0.0235294, 0.580392, 0.968627, 0.470588, 0.917647, 0.294118, 0, 0.101961, 0.772549, 0.243137, 0.368627, 0.988235, 0.858824, 0.796078, 0.458824, 0.137255, 0.0431373, 0.12549, 0.223529, 0.694118, 0.129412, 0.345098, 0.929412, 0.584314, 0.219608, 0.341176, 0.682353, 0.0784314, 0.490196, 0.533333, 0.670588, 0.658824, 0.266667, 0.686275, 0.290196, 0.647059, 0.278431, 0.52549, 0.545098, 0.188235, 0.105882, 0.65098, 0.301961, 0.572549, 0.619608, 0.905882, 0.32549, 0.435294, 0.898039, 0.478431, 0.235294, 0.827451, 0.521569, 0.901961, 0.862745, 0.411765, 0.360784, 0.160784, 0.215686, 0.180392, 0.960784, 0.156863, 0.956863, 0.4, 0.560784, 0.211765, 0.254902, 0.0980392, 0.247059, 0.631373, 0.00392157, 0.847059, 0.313725, 0.286275, 0.819608, 0.298039, 0.517647, 0.733333, 0.815686, 0.34902, 0.0705882, 0.662745, 0.784314, 0.768627, 0.529412, 0.509804, 0.454902, 0.737255, 0.623529, 0.337255, 0.643137, 0.392157, 0.427451, 0.776471, 0.678431, 0.729412, 0.0117647, 0.25098, 0.203922, 0.85098, 0.886275, 0.980392, 0.486275, 0.482353, 0.0196078, 0.792157, 0.14902, 0.576471, 0.462745, 0.494118, 1, 0.321569, 0.333333, 0.831373, 0.811765, 0.807843, 0.231373, 0.890196, 0.184314, 0.0627451, 0.227451, 0.0666667, 0.713725, 0.741176, 0.109804, 0.164706, 0.87451, 0.717647, 0.666667, 0.835294, 0.466667, 0.972549, 0.596078, 0.00784314, 0.172549, 0.603922, 0.639216, 0.27451, 0.866667, 0.6, 0.396078, 0.607843, 0.654902, 0.168627, 0.67451, 0.0352941, 0.505882, 0.0862745, 0.152941, 0.992157, 0.0745098, 0.384314, 0.423529, 0.431373, 0.309804, 0.443137, 0.878431, 0.909804, 0.698039, 0.72549, 0.439216, 0.407843, 0.854902, 0.964706, 0.380392, 0.894118, 0.984314, 0.133333, 0.94902, 0.756863, 0.933333, 0.823529, 0.564706, 0.0470588, 0.74902, 0.701961, 0.635294, 0.945098, 0.317647, 0.2, 0.568627, 0.921569, 0.976471, 0.054902, 0.937255, 0.419608, 0.192157, 0.752941, 0.839216, 0.121569, 0.709804, 0.780392, 0.415686, 0.615686, 0.721569, 0.329412, 0.8, 0.690196, 0.45098, 0.47451, 0.196078, 0.176471, 0.498039, 0.0156863, 0.588235, 0.996078, 0.541176, 0.92549, 0.803922, 0.364706, 0.870588, 0.447059, 0.262745, 0.113725, 0.0941176, 0.282353, 0.952941, 0.552941, 0.501961, 0.764706, 0.305882, 0.258824, 0.843137, 0.239216, 0.611765, 0.705882];
 
     function _lookup_noise_table(i) = _noise_table[i % 256];

src/voronoi/vrn2_space_cells.scad

@@ -1,8 +1,8 @@
-use <experimental/_impl/_voronoi_square_cells_impl.scad>;
-use <experimental/convex_intersection_for.scad>;
-use <shape_square.scad>;
+use <_impl/_vrn2_space_cells_impl.scad>;
+use <_impl/_convex_intersection_for.scad>;
+use <../shape_square.scad>;
 
-function voronoi_square_cells(size, grid_w, seed) = 
+function vrn2_space_cells(size, grid_w, seed) = 
     let(
         sd = is_undef(seed) ? rands(0, 255, 1)[0] : seed,
         region_size = grid_w * 3,
@@ -35,5 +35,5 @@ function voronoi_square_cells(size, grid_w, seed) =
     )
     [
         for(regions = regions_lt)
-            [regions[0], convex_intersection_for(regions[1])]
+            [regions[0], _convex_intersection_for(regions[1])]
     ];

src/voronoi/vrn3_from.scad

@@ -0,0 +1,43 @@
+/**
+* vrn3_from.scad
+*
+* @copyright Justin Lin, 2020
+* @license https://opensource.org/licenses/lgpl-3.0.html
+*
+* @see https://openhome.cc/eGossip/OpenSCAD/lib2x-vrn3_from.html
+*
+**/
+
+use <__comm__/__angy_angz.scad>;
+
+// slow but workable
+
+module vrn3_from(points, spacing = 1) {
+    xs = [for(p = points) p[0]];
+    ys = [for(p = points) abs(p[1])];
+    zs = [for(p = points) abs(p[2])];
+
+    space_size = max([max(xs) -  min(xs), max(ys) -  min(ys), max(zs) -  min(zs)]);    
+    half_space_size = 0.5 * space_size; 
+    double_space_size = 2 * space_size;
+    offset_leng = (spacing + space_size) * 0.5;
+
+    function normalize(v) = v / norm(v);
+    
+    module space(pt) {
+        intersection_for(p = points) {
+            if(pt != p) {
+                v = p - pt;
+                ryz = __angy_angz(p, pt);
+
+                translate((pt + p) / 2 - normalize(v) * offset_leng)
+                rotate([0, -ryz[0], ryz[1]]) 
+                    cube([space_size, double_space_size, double_space_size], center = true); 
+            }
+        }
+    }    
+    
+    for(p = points) {	
+        space(p);
+    }
+}

src/voronoi/vrn3_space.scad

@@ -1,7 +1,7 @@
 use <__comm__/__angy_angz.scad>;
 
 // slow but workable
-module voronoi_cube(size, grid_w, seed, spacing = 1) {
+module vrn3_space(size, grid_w, seed, spacing = 1) {
     _noise_table = [0.592157, 0.627451, 0.537255, 0.356863, 0.352941, 0.0588235, 0.513725, 0.0509804, 0.788235, 0.372549, 0.376471, 0.207843, 0.760784, 0.913725, 0.027451, 0.882353, 0.54902, 0.141176, 0.403922, 0.117647, 0.270588, 0.556863, 0.0313725, 0.388235, 0.145098, 0.941176, 0.0823529, 0.0392157, 0.0901961, 0.745098, 0.0235294, 0.580392, 0.968627, 0.470588, 0.917647, 0.294118, 0, 0.101961, 0.772549, 0.243137, 0.368627, 0.988235, 0.858824, 0.796078, 0.458824, 0.137255, 0.0431373, 0.12549, 0.223529, 0.694118, 0.129412, 0.345098, 0.929412, 0.584314, 0.219608, 0.341176, 0.682353, 0.0784314, 0.490196, 0.533333, 0.670588, 0.658824, 0.266667, 0.686275, 0.290196, 0.647059, 0.278431, 0.52549, 0.545098, 0.188235, 0.105882, 0.65098, 0.301961, 0.572549, 0.619608, 0.905882, 0.32549, 0.435294, 0.898039, 0.478431, 0.235294, 0.827451, 0.521569, 0.901961, 0.862745, 0.411765, 0.360784, 0.160784, 0.215686, 0.180392, 0.960784, 0.156863, 0.956863, 0.4, 0.560784, 0.211765, 0.254902, 0.0980392, 0.247059, 0.631373, 0.00392157, 0.847059, 0.313725, 0.286275, 0.819608, 0.298039, 0.517647, 0.733333, 0.815686, 0.34902, 0.0705882, 0.662745, 0.784314, 0.768627, 0.529412, 0.509804, 0.454902, 0.737255, 0.623529, 0.337255, 0.643137, 0.392157, 0.427451, 0.776471, 0.678431, 0.729412, 0.0117647, 0.25098, 0.203922, 0.85098, 0.886275, 0.980392, 0.486275, 0.482353, 0.0196078, 0.792157, 0.14902, 0.576471, 0.462745, 0.494118, 1, 0.321569, 0.333333, 0.831373, 0.811765, 0.807843, 0.231373, 0.890196, 0.184314, 0.0627451, 0.227451, 0.0666667, 0.713725, 0.741176, 0.109804, 0.164706, 0.87451, 0.717647, 0.666667, 0.835294, 0.466667, 0.972549, 0.596078, 0.00784314, 0.172549, 0.603922, 0.639216, 0.27451, 0.866667, 0.6, 0.396078, 0.607843, 0.654902, 0.168627, 0.67451, 0.0352941, 0.505882, 0.0862745, 0.152941, 0.992157, 0.0745098, 0.384314, 0.423529, 0.431373, 0.309804, 0.443137, 0.878431, 0.909804, 0.698039, 0.72549, 0.439216, 0.407843, 0.854902, 0.964706, 0.380392, 0.894118, 0.984314, 0.133333, 0.94902, 0.756863, 0.933333, 0.823529, 0.564706, 0.0470588, 0.74902, 0.701961, 0.635294, 0.945098, 0.317647, 0.2, 0.568627, 0.921569, 0.976471, 0.054902, 0.937255, 0.419608, 0.192157, 0.752941, 0.839216, 0.121569, 0.709804, 0.780392, 0.415686, 0.615686, 0.721569, 0.329412, 0.8, 0.690196, 0.45098, 0.47451, 0.196078, 0.176471, 0.498039, 0.0156863, 0.588235, 0.996078, 0.541176, 0.92549, 0.803922, 0.364706, 0.870588, 0.447059, 0.262745, 0.113725, 0.0941176, 0.282353, 0.952941, 0.552941, 0.501961, 0.764706, 0.305882, 0.258824, 0.843137, 0.239216, 0.611765, 0.705882];
 
     function _lookup_noise_table(i) = _noise_table[i % 256];