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Added extrude_2d_shapes_along_3dpath()

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Revar Desmera
2018-11-24 01:37:56 -08:00
parent f1fc493120
commit 4c935bf9f2
2 changed files with 92 additions and 46 deletions
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86
beziers.scad
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@@ -45,7 +45,6 @@ function bez_point(curve,u)=
u
);
// Takes an array of bezier points and converts it into a 3D polyline.
function bezier_polyline(bezier, splinesteps=16, N=3) = concat(
[
@@ -121,11 +120,32 @@ module revolve_bezier(bezier, splinesteps=16, N=3, convexity=10, angle=360) {
xrot(180) zrot(-90) bezier_polygon(bezier, splinesteps, N);
}
}
// Takes a closed 2D bezier and rotates it around the Z axis, forming a solid.
// Behaves like rotate_extrude(), except for beziers instead of shapes.
// bezier = array of 2D points for the bezier path to rotate.
// splinesteps = number of segments to divide each bezier segment into. default=16
// N = number of points in each bezier segment. default=3 (cubic)
// convexity = max number of walls a line could pass through, for preview. default=10
// angle = degrees of sweep to make. default=360
// Example:
// path = [
// [ 0, 10], [ 50, 0], [ 50, 40],
// [ 95, 40], [100, 40], [100, 45],
// [ 95, 45], [ 66, 45], [ 0, 20],
// [ 0, 12], [ 0, 12], [ 0, 10],
// [ 0, 10]
// ];
// rotate_extrude_bezier(path, splinesteps=32, $fn=180);
module rotate_extrude_bezier(bezier, splinesteps=16, N=3, convexity=10, angle=360) {
revolve_bezier(bezier, splinesteps=splinesteps, N=N, convexity=convexity, angle=angle);
rotate_extrude(convexity=convexity, angle=angle) {
bezier_polygon(bezier, splinesteps, N);
}
}
// Takes a 2D bezier path and closes it to the X axis.
function bezier_close_to_axis(bezier, N=3) =
let(
@@ -186,48 +206,10 @@ module revolve_bezier_offset_shell(bezier, offset=1, splinesteps=16, N=3, convex
// splinesteps = number of segments to divide each bezier segment into. default=16
// Example:
// path = [ [0, 0, 0], [33, 33, 33], [66, -33, -33], [100, 0, 0] ];
// extrude_2d_shapes_along_bezier(path, splinesteps=32)
// circle(r=10, center=true);
module extrude_2d_shapes_along_bezier(bezier, splinesteps=16, N=3) {
pointslist = slice(bezier_polyline(bezier, splinesteps, N), 0, -1);
ptcount = len(pointslist);
for (i = [0 : ptcount-2]) {
pt1 = pointslist[i];
pt2 = pointslist[i+1];
pt0 = i==0? pt1 : pointslist[i-1];
pt3 = (i>=ptcount-2)? pt2 : pointslist[i+2];
dist = distance(pt1,pt2);
v1 = pt2-pt1;
v0 = (i==0)? v1 : (pt1-pt0);
v2 = (i==ptcount-2)? v1 : (pt3-pt2);
az1 = atan2(v1[1], v1[0]);
alt1 = (len(pt1)<3)? 0 : atan2(v1[2], hypot(v1[1], v1[0]));
az0 = atan2(v0[1], v0[0]);
alt0 = (len(pt0)<3)? 0 : atan2(v0[2], hypot(v0[1], v0[0]));
az2 = atan2(v2[1], v2[0]);
alt2 = (len(pt2)<3)? 0 : atan2(v2[2], hypot(v2[1], v2[0]));
translate(pt1) {
difference() {
rotate([0, 90-alt1, az1]) {
translate([0, 0, -1]) {
linear_extrude(height=dist*3, convexity=10) {
children();
}
}
}
rotate([0, 90-(alt0+alt1)/2, (az0+az1)/2]) {
translate([0, 0, -dist-0.05]) {
cube(size=[99,99,dist*2], center=true);
}
}
rotate([0, 90-(alt1+alt2)/2, (az1+az2)/2]) {
translate([0, 0, dist+dist]) {
cube(size=[99,99,dist*2], center=true);
}
}
}
}
}
// extrude_2d_shapes_along_bezier(path) circle(r=10, center=true);
module extrude_2d_shapes_along_bezier(bezier, splinesteps=16, N=3, convexity=10, clipsize=1000) {
path = slice(bezier_polyline(bezier, splinesteps, N), 0, -1);
extrude_2d_shapes_along_3dpath(path, convexity=convexity, clipsize=clipsize) children();
}
@@ -240,7 +222,13 @@ module extrude_2d_shapes_along_bezier(bezier, splinesteps=16, N=3) {
// bezN = number of points in each extruded bezier segment. default=3 (cubic)
// pathN = number of points in each path bezier segment. default=3 (cubic)
// Example:
// bez = [ [-15, 0], [25, -15], [-5, 10], [0, 10], [5, 10], [10, 5], [15, 0], [10, -5], [5, -10], [0, -10], [-5, -10], [-10, -5], [-15, 0] ];
// bez = [
// [-10, 0], [-15, -5],
// [ -5, -10], [ 0, -10], [ 5, -10],
// [ 10, -5], [ 15, 0], [10, 5],
// [ 5, 10], [ 0, 10], [-5, 10],
// [ 25, -15], [-10, 0]
// ];
// path = [ [0, 0, 0], [33, 33, 33], [66, -33, -33], [100, 0, 0] ];
// extrude_bezier_along_bezier(bez, path, pathsteps=64, bezsteps=32);
module extrude_bezier_along_bezier(bezier, path, pathsteps=16, bezsteps=16, bezN=3, pathN=3) {
@@ -262,7 +250,13 @@ module extrude_bezier_along_bezier(bezier, path, pathsteps=16, bezsteps=16, bezN
// scale = relative size of top of extrusion to the bottom. default=1.0
// slices = number of vertical slices to use for twisted extrusion. default=20
// Example:
// bez = [ [-15, 0], [25, -15], [-5, 10], [0, 10], [5, 10], [10, 5], [15, 0], [10, -5], [5, -10], [0, -10], [-5, -10], [-10, -5], [-15, 0] ];
// bez = [
// [-10, 0], [-15, -5],
// [ -5, -10], [ 0, -10], [ 5, -10],
// [ 10, -5], [ 15, 0], [10, 5],
// [ 5, 10], [ 0, 10], [-5, 10],
// [ 25, -15], [-10, 0]
// ];
// linear_extrude_bezier(bez, splinesteps=32, );
module linear_extrude_bezier(bezier, height=100, splinesteps=16, N=3, center=true, convexity=10, twist=0, slices=20, scale=1.0) {
linear_extrude(height=height, center=center, convexity=convexity, twist=twist, slices=slices, scale=scale) {