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257 lines
7.2 KiB
257 lines
7.2 KiB
/**************************************\
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* *
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* OpenSCAD Mesh Display *
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* by Thinkyhead - April 2017 *
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* *
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* Copy the grid output from Marlin, *
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* paste below as shown, and use *
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* OpenSCAD to see a visualization *
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* of your mesh. *
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* *
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\**************************************/
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//$t = 0.15; // comment out during animation
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//
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// Mesh info and points
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//
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mesh_width = 200; // X Size in mm of the probed area
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mesh_height = 200; // Y Size...
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zprobe_offset = 0; // Added to the points
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NAN = 0; // Z to use for un-measured points
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measured_z = [
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[ -1.20, -1.13, -1.09, -1.03, -1.19 ],
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[ -1.16, -1.25, -1.27, -1.25, -1.08 ],
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[ -1.13, -1.26, -1.39, -1.31, -1.18 ],
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[ -1.09, -1.20, -1.26, -1.21, -1.18 ],
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[ -1.13, -0.99, -1.03, -1.06, -1.32 ]
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];
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//
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// Geometry
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//
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max_z_scale = 100; // Scale at Time 0.5
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min_z_scale = 10; // Scale at Time 0.0 and 1.0
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thickness = 0.5; // thickness of the mesh triangles
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tesselation = 1; // levels of tesselation from 0-2
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alternation = 2; // direction change modulus (try it)
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//
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// Appearance
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//
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show_plane = true;
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show_labels = true;
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arrow_length = 5;
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label_font_lg = "Arial";
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label_font_sm = "Arial";
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mesh_color = [1,1,1,0.5];
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plane_color = [0.4,0.6,0.9,0.6];
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//================================================ Derive useful values
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big_z = max_2D(measured_z,0);
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lil_z = min_2D(measured_z,0);
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mean_value = (big_z + lil_z) / 2.0;
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mesh_points_y = len(measured_z);
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mesh_points_x = len(measured_z[0]);
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xspace = mesh_width / (mesh_points_x - 1);
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yspace = mesh_height / (mesh_points_y - 1);
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// At $t=0 and $t=1 scale will be 100%
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z_scale_factor = min_z_scale + (($t > 0.5) ? 1.0 - $t : $t) * (max_z_scale - min_z_scale) * 2;
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//
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// Min and max recursive functions for 1D and 2D arrays
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// Return the smallest or largest value in the array
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//
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function min_1D(b,i) = (i<len(b)-1) ? min(b[i], min_1D(b,i+1)) : b[i];
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function min_2D(a,j) = (j<len(a)-1) ? min_2D(a,j+1) : min_1D(a[j], 0);
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function max_1D(b,i) = (i<len(b)-1) ? max(b[i], max_1D(b,i+1)) : b[i];
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function max_2D(a,j) = (j<len(a)-1) ? max_2D(a,j+1) : max_1D(a[j], 0);
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//
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// Get the corner probe points of a grid square.
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//
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// Input : x,y grid indexes
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// Output : An array of the 4 corner points
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//
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function grid_square(x,y) = [
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[x * xspace, y * yspace, z_scale_factor * (measured_z[y][x] - mean_value)],
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[x * xspace, (y+1) * yspace, z_scale_factor * (measured_z[y+1][x] - mean_value)],
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[(x+1) * xspace, (y+1) * yspace, z_scale_factor * (measured_z[y+1][x+1] - mean_value)],
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[(x+1) * xspace, y * yspace, z_scale_factor * (measured_z[y][x+1] - mean_value)]
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];
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// The corner point of a grid square with Z centered on the mean
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function pos(x,y,z) = [x * xspace, y * yspace, z_scale_factor * (z - mean_value)];
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//
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// Draw the point markers and labels
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//
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module point_markers(show_home=true) {
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// Mark the home position 0,0
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color([0,0,0,0.25]) translate([1,1]) cylinder(r=1, h=z_scale_factor, center=true);
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for (x=[0:mesh_points_x-1], y=[0:mesh_points_y-1]) {
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z = measured_z[y][x];
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down = z < mean_value;
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translate(pos(x, y, z)) {
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// Label each point with the Z
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if (show_labels) {
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v = z - mean_value;
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color(abs(v) < 0.1 ? [0,0.5,0] : [0.25,0,0])
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translate([0,0,down?-10:10]) {
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$fn=8;
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rotate([90,0])
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text(str(z), 6, label_font_lg, halign="center", valign="center");
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translate([0,0,down?-6:6]) rotate([90,0])
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text(str(down ? "" : "+", v), 3, label_font_sm, halign="center", valign="center");
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}
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}
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// Show an arrow pointing up or down
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rotate([0, down ? 180 : 0]) translate([0,0,-1])
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cylinder(
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r1=0.5,
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r2=0.1,
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h=arrow_length, $fn=12, center=1
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);
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}
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}
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}
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//
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// Split a square on the diagonal into
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// two triangles and render them.
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//
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// s : a square
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// alt : a flag to split on the other diagonal
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//
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module tesselated_square(s, alt=false) {
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add = [0,0,thickness];
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p1 = [
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s[0], s[1], s[2], s[3],
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s[0]+add, s[1]+add, s[2]+add, s[3]+add
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];
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f1 = alt
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? [ [0,1,3], [4,5,1,0], [4,7,5], [5,7,3,1], [7,4,0,3] ]
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: [ [0,1,2], [4,5,1,0], [4,6,5], [5,6,2,1], [6,4,0,2] ];
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f2 = alt
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? [ [1,2,3], [5,6,2,1], [5,6,7], [6,7,3,2], [7,5,1,3] ]
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: [ [0,2,3], [4,6,2,0], [4,7,6], [6,7,3,2], [7,4,0,3] ];
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// Use the other diagonal
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polyhedron(points=p1, faces=f1);
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polyhedron(points=p1, faces=f2);
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}
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/**
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* The simplest mesh display
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*/
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module simple_mesh(show_plane=show_plane) {
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if (show_plane) color(plane_color) cube([mesh_width, mesh_height, thickness]);
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color(mesh_color)
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for (x=[0:mesh_points_x-2], y=[0:mesh_points_y-2])
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tesselated_square(grid_square(x, y));
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}
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/**
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* Subdivide the mesh into smaller squares.
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*/
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module bilinear_mesh(show_plane=show_plane,tesselation=tesselation) {
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if (show_plane) color(plane_color) translate([-5,-5]) cube([mesh_width+10, mesh_height+10, thickness]);
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tesselation = tesselation % 4;
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color(mesh_color)
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for (x=[0:mesh_points_x-2], y=[0:mesh_points_y-2]) {
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square = grid_square(x, y);
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if (tesselation < 1) {
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tesselated_square(square,(x%alternation)-(y%alternation));
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}
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else {
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subdiv_4 = subdivided_square(square);
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if (tesselation < 2) {
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for (i=[0:3]) tesselated_square(subdiv_4[i],i%alternation);
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}
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else {
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for (i=[0:3]) {
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subdiv_16 = subdivided_square(subdiv_4[i]);
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if (tesselation < 3) {
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for (j=[0:3]) tesselated_square(subdiv_16[j],j%alternation);
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}
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else {
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for (j=[0:3]) {
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subdiv_64 = subdivided_square(subdiv_16[j]);
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if (tesselation < 4) {
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for (k=[0:3]) tesselated_square(subdiv_64[k]);
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}
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}
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}
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}
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}
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}
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}
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}
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//
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// Subdivision helpers
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//
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function ctrz(a) = (a[0][2]+a[1][2]+a[3][2]+a[2][2])/4;
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function avgx(a,i) = (a[i][0]+a[(i+1)%4][0])/2;
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function avgy(a,i) = (a[i][1]+a[(i+1)%4][1])/2;
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function avgz(a,i) = (a[i][2]+a[(i+1)%4][2])/2;
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//
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// Convert one square into 4, applying bilinear averaging
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//
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// Input : 1 square (4 points)
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// Output : An array of 4 squares
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//
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function subdivided_square(a) = [
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[ // SW square
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a[0], // SW
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[a[0][0],avgy(a,0),avgz(a,0)], // CW
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[avgx(a,1),avgy(a,0),ctrz(a)], // CC
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[avgx(a,1),a[0][1],avgz(a,3)] // SC
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],
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[ // NW square
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[a[0][0],avgy(a,0),avgz(a,0)], // CW
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a[1], // NW
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[avgx(a,1),a[1][1],avgz(a,1)], // NC
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[avgx(a,1),avgy(a,0),ctrz(a)] // CC
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],
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[ // NE square
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[avgx(a,1),avgy(a,0),ctrz(a)], // CC
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[avgx(a,1),a[1][1],avgz(a,1)], // NC
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a[2], // NE
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[a[2][0],avgy(a,0),avgz(a,2)] // CE
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],
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[ // SE square
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[avgx(a,1),a[0][1],avgz(a,3)], // SC
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[avgx(a,1),avgy(a,0),ctrz(a)], // CC
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[a[2][0],avgy(a,0),avgz(a,2)], // CE
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a[3] // SE
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]
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];
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//================================================ Run the plan
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translate([-mesh_width / 2, -mesh_height / 2]) {
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$fn = 12;
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point_markers();
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bilinear_mesh();
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}
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