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add rail_extruded_sections
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Justin Lin
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commit
c58e019b69
@ -67,7 +67,7 @@ You can use any point as the first point of the edge path. Just remember that yo
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use <path_scaling_sections.scad>;
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use <sweep.scad>;
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use <bezier_curve.scad>;
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use <rotate_p.scad>;
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use <ptf/ptf_rotate.scad>;
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taiwan = shape_taiwan(100);
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fst_pt = [13, 0, 0];
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@ -91,7 +91,7 @@ You can use any point as the first point of the edge path. Just remember that yo
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for(i = [0:leng - 1])
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[
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for(p = sections[i])
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rotate_p(p, twist_step * i)
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ptf_rotate(p, twist_step * i)
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]
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];
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@ -103,7 +103,7 @@ You can use any point as the first point of the edge path. Just remember that yo
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use <shape_taiwan.scad>;
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use <path_scaling_sections.scad>;
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use <sweep.scad>;
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use <rotate_p.scad>;
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use <ptf/ptf_rotate.scad>;
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taiwan = shape_taiwan(100);
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@ -115,12 +115,12 @@ You can use any point as the first point of the edge path. Just remember that yo
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a = atan2(fst_pt[1], fst_pt[0]);
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edge_path = [
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fst_pt,
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fst_pt + rotate_p([0, 0, 10], a),
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fst_pt + rotate_p([10, 0, 20], a),
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fst_pt + rotate_p([8, 0, 30], a),
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fst_pt + rotate_p([10, 0, 40], a),
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fst_pt + rotate_p([0, 0, 50], a),
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fst_pt + rotate_p([0, 0, 60], a)
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fst_pt + ptf_rotate([0, 0, 10], a),
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fst_pt + ptf_rotate([10, 0, 20], a),
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fst_pt + ptf_rotate([8, 0, 30], a),
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fst_pt + ptf_rotate([10, 0, 40], a),
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fst_pt + ptf_rotate([0, 0, 50], a),
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fst_pt + ptf_rotate([0, 0, 60], a)
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];
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#hull_polyline3d(edge_path);
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127
docs/lib3x-rail_extruded_sections.md
Normal file
127
docs/lib3x-rail_extruded_sections.md
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@ -0,0 +1,127 @@
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# rail_extruded_sections
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Given a rail with the first point at the outline of a shape. This function uses the rail to extrude the shape and returns all sections in the reversed order of the rail. Combined with the `sweep` module, you can create rail extrusion.
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In order to control extrusion easily, I suggest using `[x, 0, 0]` as the first point and keeping y = 0 while building the rail.
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**Since:** 3.2
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## Parameters
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- `shape_pts` : A list of points represent a shape.
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- `rail` : A list of points represent the edge path.
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## Examples
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use <hull_polyline3d.scad>;
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use <shape_taiwan.scad>;
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use <rail_extruded_sections.scad>;
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use <sweep.scad>;
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taiwan = shape_taiwan(100);
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fst_pt = [13, 0, 0];
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rail = [
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fst_pt,
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fst_pt + [0, 0, 10],
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fst_pt + [10, 0, 20],
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fst_pt + [8, 0, 30],
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fst_pt + [12, 0, 40],
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fst_pt + [0, 0, 50],
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fst_pt + [0, 0, 60]
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];
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#hull_polyline3d(rail);
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sweep(rail_extruded_sections(taiwan, rail));
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use <hull_polyline3d.scad>;
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use <shape_taiwan.scad>;
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use <rail_extruded_sections.scad>;
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use <sweep.scad>;
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use <bezier_curve.scad>;
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taiwan = shape_taiwan(100);
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fst_pt = [13, 0, 0];
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rail = bezier_curve(0.05, [
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fst_pt,
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fst_pt + [0, 0, 10],
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fst_pt + [10, 0, 20],
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fst_pt + [8, 0, 30],
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fst_pt + [12, 0, 40],
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fst_pt + [0, 0, 50],
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fst_pt + [0, 0, 60]
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]);
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#hull_polyline3d(rail);
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sweep(rail_extruded_sections(taiwan, rail));
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use <shape_taiwan.scad>;
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use <rail_extruded_sections.scad>;
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use <sweep.scad>;
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use <bezier_curve.scad>;
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use <ptf/ptf_rotate.scad>;
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taiwan = shape_taiwan(100);
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fst_pt = [13, 0, 0];
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rail = bezier_curve(0.05, [
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fst_pt,
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fst_pt + [0, 0, 10],
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fst_pt + [10, 0, 20],
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fst_pt + [8, 0, 30],
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fst_pt + [12, 0, 40],
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fst_pt + [0, 0, 50],
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fst_pt + [0, 0, 60]
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]);
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leng = len(rail);
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twist = -90;
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twist_step = twist / leng;
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sections = rail_extruded_sections(taiwan, rail);
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rotated_sections = [
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for(i = [0:leng - 1])
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[
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for(p = sections[i])
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ptf_rotate(p, twist_step * i)
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]
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];
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sweep(rotated_sections);
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use <hull_polyline3d.scad>;
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use <shape_taiwan.scad>;
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use <rail_extruded_sections.scad>;
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use <sweep.scad>;
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use <ptf/ptf_rotate.scad>;
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taiwan = shape_taiwan(100);
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/*
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You can use any point as the first point of the edge path.
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Just remember that your edge path radiates from the origin.
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*/
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fst_pt = [taiwan[0][0], taiwan[0][1], 0];//[13, 0, 0];
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a = atan2(fst_pt[1], fst_pt[0]);
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rail = [
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fst_pt,
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fst_pt + ptf_rotate([0, 0, 10], a),
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fst_pt + ptf_rotate([10, 0, 20], a),
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fst_pt + ptf_rotate([8, 0, 30], a),
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fst_pt + ptf_rotate([10, 0, 40], a),
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fst_pt + ptf_rotate([0, 0, 50], a),
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fst_pt + ptf_rotate([0, 0, 60], a)
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];
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#hull_polyline3d(rail);
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sweep(rail_extruded_sections(taiwan, rail));
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@ -1,7 +1,7 @@
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use <shape_circle.scad>;
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use <bezier_curve.scad>;
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use <sweep.scad>;
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use <path_scaling_sections.scad>;
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use <rail_extruded_sections.scad>;
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use <bijection_offset.scad>;
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use <util/rand.scad>;
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use <noise/nz_perlin2s.scad>;
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@ -36,7 +36,7 @@ module distorted_vase(beginning_radius, thickness, fn, amplitude,curve_step, smo
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]);
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sections = path_scaling_sections(section, edge_path);
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sections = rail_extruded_sections(section, edge_path);
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noise = perlin == 2 ? function(pts, seed) nz_perlin2s(pts, seed) :
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function(pts, seed) nz_perlin3s(pts, seed);
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@ -5,7 +5,7 @@ use <curve.scad>;
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use <sweep.scad>;
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use <shape_circle.scad>;
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use <bezier_curve.scad>;
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use <path_scaling_sections.scad>;
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use <rail_extruded_sections.scad>;
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use <noise/nz_perlin2s.scad>;
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use <dragon_head.scad>;
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use <dragon_scales.scad>;
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@ -103,7 +103,7 @@ module flame_mountain(beginning_radius, fn, amplitude,curve_step, smoothness) {
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]);
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sections = path_scaling_sections(section, edge_path);
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sections = rail_extruded_sections(section, edge_path);
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noise = function(pts, seed) nz_perlin2s(pts, seed);
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@ -1,6 +1,6 @@
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use <trim_shape.scad>;
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use <bezier_curve.scad>;
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use <path_scaling_sections.scad>;
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use <rail_extruded_sections.scad>;
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use <sweep.scad>;
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use <ptf/ptf_rotate.scad>;
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use <bijection_offset.scad>;
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@ -27,7 +27,7 @@ module superformula_vase(phi_step, m, n, n3, d, r1, r2, h1, h2, t_step, twist) {
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function cal_sections(shapt_pts, edge_path, twist) =
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let(
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sects = path_scaling_sections(shapt_pts, edge_path),
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sects = rail_extruded_sections(shapt_pts, edge_path),
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leng = len(sects),
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twist_step = twist / leng
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)
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@ -50,7 +50,7 @@ module superformula_vase(phi_step, m, n, n3, d, r1, r2, h1, h2, t_step, twist) {
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[r2, 0, h2],
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]);
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offseted = bijection_offset(superformula, d);
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offseted = bijection_offset(superformula, d, epsilon = 0.0000001);
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edge_path2 = [for(p = edge_path) p + [d, 0, 0]];
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superformula2 = trim_shape(offseted, 3, len(offseted) - 1, epsilon = 0.0001);
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@ -1,7 +1,7 @@
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use <trim_shape.scad>;
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use <bezier_curve.scad>;
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use <shape_taiwan.scad>;
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use <path_scaling_sections.scad>;
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use <rail_extruded_sections.scad>;
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use <sweep.scad>;
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use <ptf/ptf_rotate.scad>;
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use <bijection_offset.scad>;
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@ -19,7 +19,7 @@ module dancing_formosan(x1, x2, x3, y1, y2, y3, twist, t_step) {
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function cal_sections(shapt_pts, edge_path, twist) =
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let(
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sects = path_scaling_sections(shapt_pts, edge_path),
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sects = rail_extruded_sections(shapt_pts, edge_path),
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leng = len(sects),
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twist_step = twist / leng
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)
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32
src/rail_extruded_sections.scad
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32
src/rail_extruded_sections.scad
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@ -0,0 +1,32 @@
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/**
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* rail_extruded_sections.scad
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*
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* @copyright Justin Lin, 2019
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* @license https://opensource.org/licenses/lgpl-3.0.html
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*
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* @see https://openhome.cc/eGossip/OpenSCAD/lib3x-rail_extruded_sections.html
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*
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**/
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use <util/reverse.scad>;
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use <matrix/m_scaling.scad>;
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function rail_extruded_sections(shape_pts, rail) =
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let(
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start_point = rail[0],
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base_leng = norm(start_point),
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scaling_matrice = [
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for(p = rail)
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let(s = norm([p[0], p[1], 0]) / base_leng)
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m_scaling([s, s, 1])
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],
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leng_rail = len(rail)
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)
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reverse([
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for(i = 0; i < leng_rail; i = i + 1)
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[
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for(p = shape_pts)
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let(scaled_p = scaling_matrice[i] * [p[0], p[1], rail[i][2], 1])
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[scaled_p[0], scaled_p[1], scaled_p[2]]
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]
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]);
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