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Added extrude_2d_shapes_along_3dpath()
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Revar Desmera
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f1fc493120
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4c935bf9f2
2 changed files with 92 additions and 46 deletions
86
beziers.scad
86
beziers.scad
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@ -45,7 +45,6 @@ function bez_point(curve,u)=
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u
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);
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// Takes an array of bezier points and converts it into a 3D polyline.
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function bezier_polyline(bezier, splinesteps=16, N=3) = concat(
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[
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@ -121,9 +120,30 @@ module revolve_bezier(bezier, splinesteps=16, N=3, convexity=10, angle=360) {
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xrot(180) zrot(-90) bezier_polygon(bezier, splinesteps, N);
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}
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}
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// Takes a closed 2D bezier and rotates it around the Z axis, forming a solid.
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// Behaves like rotate_extrude(), except for beziers instead of shapes.
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// bezier = array of 2D points for the bezier path to rotate.
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// splinesteps = number of segments to divide each bezier segment into. default=16
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// N = number of points in each bezier segment. default=3 (cubic)
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// convexity = max number of walls a line could pass through, for preview. default=10
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// angle = degrees of sweep to make. default=360
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// Example:
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// path = [
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// [ 0, 10], [ 50, 0], [ 50, 40],
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// [ 95, 40], [100, 40], [100, 45],
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// [ 95, 45], [ 66, 45], [ 0, 20],
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// [ 0, 12], [ 0, 12], [ 0, 10],
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// [ 0, 10]
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// ];
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// rotate_extrude_bezier(path, splinesteps=32, $fn=180);
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module rotate_extrude_bezier(bezier, splinesteps=16, N=3, convexity=10, angle=360) {
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revolve_bezier(bezier, splinesteps=splinesteps, N=N, convexity=convexity, angle=angle);
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rotate_extrude(convexity=convexity, angle=angle) {
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bezier_polygon(bezier, splinesteps, N);
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}
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}
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// Takes a 2D bezier path and closes it to the X axis.
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@ -186,48 +206,10 @@ module revolve_bezier_offset_shell(bezier, offset=1, splinesteps=16, N=3, convex
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// splinesteps = number of segments to divide each bezier segment into. default=16
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// Example:
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// path = [ [0, 0, 0], [33, 33, 33], [66, -33, -33], [100, 0, 0] ];
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// extrude_2d_shapes_along_bezier(path, splinesteps=32)
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// circle(r=10, center=true);
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module extrude_2d_shapes_along_bezier(bezier, splinesteps=16, N=3) {
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pointslist = slice(bezier_polyline(bezier, splinesteps, N), 0, -1);
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ptcount = len(pointslist);
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for (i = [0 : ptcount-2]) {
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pt1 = pointslist[i];
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pt2 = pointslist[i+1];
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pt0 = i==0? pt1 : pointslist[i-1];
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pt3 = (i>=ptcount-2)? pt2 : pointslist[i+2];
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dist = distance(pt1,pt2);
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v1 = pt2-pt1;
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v0 = (i==0)? v1 : (pt1-pt0);
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v2 = (i==ptcount-2)? v1 : (pt3-pt2);
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az1 = atan2(v1[1], v1[0]);
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alt1 = (len(pt1)<3)? 0 : atan2(v1[2], hypot(v1[1], v1[0]));
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az0 = atan2(v0[1], v0[0]);
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alt0 = (len(pt0)<3)? 0 : atan2(v0[2], hypot(v0[1], v0[0]));
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az2 = atan2(v2[1], v2[0]);
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alt2 = (len(pt2)<3)? 0 : atan2(v2[2], hypot(v2[1], v2[0]));
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translate(pt1) {
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difference() {
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rotate([0, 90-alt1, az1]) {
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translate([0, 0, -1]) {
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linear_extrude(height=dist*3, convexity=10) {
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children();
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}
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}
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}
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rotate([0, 90-(alt0+alt1)/2, (az0+az1)/2]) {
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translate([0, 0, -dist-0.05]) {
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cube(size=[99,99,dist*2], center=true);
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}
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}
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rotate([0, 90-(alt1+alt2)/2, (az1+az2)/2]) {
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translate([0, 0, dist+dist]) {
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cube(size=[99,99,dist*2], center=true);
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}
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}
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}
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}
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}
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// extrude_2d_shapes_along_bezier(path) circle(r=10, center=true);
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module extrude_2d_shapes_along_bezier(bezier, splinesteps=16, N=3, convexity=10, clipsize=1000) {
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path = slice(bezier_polyline(bezier, splinesteps, N), 0, -1);
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extrude_2d_shapes_along_3dpath(path, convexity=convexity, clipsize=clipsize) children();
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}
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@ -240,7 +222,13 @@ module extrude_2d_shapes_along_bezier(bezier, splinesteps=16, N=3) {
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// bezN = number of points in each extruded bezier segment. default=3 (cubic)
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// pathN = number of points in each path bezier segment. default=3 (cubic)
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// Example:
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// 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] ];
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// bez = [
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// [-10, 0], [-15, -5],
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// [ -5, -10], [ 0, -10], [ 5, -10],
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// [ 10, -5], [ 15, 0], [10, 5],
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// [ 5, 10], [ 0, 10], [-5, 10],
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// [ 25, -15], [-10, 0]
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// ];
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// path = [ [0, 0, 0], [33, 33, 33], [66, -33, -33], [100, 0, 0] ];
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// extrude_bezier_along_bezier(bez, path, pathsteps=64, bezsteps=32);
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module extrude_bezier_along_bezier(bezier, path, pathsteps=16, bezsteps=16, bezN=3, pathN=3) {
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@ -262,7 +250,13 @@ module extrude_bezier_along_bezier(bezier, path, pathsteps=16, bezsteps=16, bezN
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// scale = relative size of top of extrusion to the bottom. default=1.0
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// slices = number of vertical slices to use for twisted extrusion. default=20
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// Example:
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// 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] ];
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// bez = [
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// [-10, 0], [-15, -5],
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// [ -5, -10], [ 0, -10], [ 5, -10],
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// [ 10, -5], [ 15, 0], [10, 5],
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// [ 5, 10], [ 0, 10], [-5, 10],
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// [ 25, -15], [-10, 0]
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// ];
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// linear_extrude_bezier(bez, splinesteps=32, );
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module linear_extrude_bezier(bezier, height=100, splinesteps=16, N=3, center=true, convexity=10, twist=0, slices=20, scale=1.0) {
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linear_extrude(height=height, center=center, convexity=convexity, twist=twist, slices=slices, scale=scale) {
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52
paths.scad
52
paths.scad
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@ -31,6 +31,7 @@ OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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*/
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include <transforms.scad>
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include <math.scad>
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include <quaternions.scad>
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include <triangulation.scad>
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@ -223,5 +224,56 @@ module extrude_2dpath_along_3dpath(polyline, path, convexity=10) {
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// Extrudes 2D children along a 3D polyline path.
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// path = array of points for the bezier path to extrude along.
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// convexity = maximum number of walls a ran can pass through.
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// clipsize = increase if artifacts are left. Default: 1000
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// Example:
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// path = [ [0, 0, 0], [33, 33, 33], [66, 33, 40], [100, 0, 0] ];
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// extrude_2d_shapes_along_3dpath(path) circle(r=10, center=true);
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module extrude_2d_shapes_along_3dpath(path, convexity=10, clipsize=1000) {
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ptcount = len(path);
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for (i = [0 : ptcount-2]) {
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pt1 = path[i];
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pt2 = path[i+1];
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pt0 = i==0? pt1 : path[i-1];
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pt3 = (i>=ptcount-2)? pt2 : path[i+2];
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dist = distance(pt1,pt2);
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v1 = pt2-pt1;
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v0 = (i==0)? v1 : (pt1-pt0);
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v2 = (i==ptcount-2)? v1 : (pt3-pt2);
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az1 = atan2(v1[1], v1[0]);
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alt1 = (len(pt1)<3)? 0 : atan2(v1[2], hypot(v1[1], v1[0]));
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az0 = atan2(v0[1], v0[0]);
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alt0 = (len(pt0)<3)? 0 : atan2(v0[2], hypot(v0[1], v0[0]));
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az2 = atan2(v2[1], v2[0]);
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alt2 = (len(pt2)<3)? 0 : atan2(v2[2], hypot(v2[1], v2[0]));
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translate(pt1) {
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difference() {
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rotate([0, 90-alt1, az1]) {
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down(dist) {
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linear_extrude(height=dist*3, convexity=10) {
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children();
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}
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}
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}
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rotate([0, 90-(alt0+alt1)/2, (az0+az1)/2]) {
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down(dist+0.05) {
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cube(size=[clipsize,clipsize,dist*2], center=true);
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}
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}
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translate(v1) {
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rotate([0, 90-(alt1+alt2)/2, (az1+az2)/2]) {
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up(dist) {
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cube(size=[clipsize,clipsize,dist*2], center=true);
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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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// vim: noexpandtab tabstop=4 shiftwidth=4 softtabstop=4 nowrap
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