beziers.scad

Bezier functions and modules.

Functions

bez_point(curve,u)

Formula to calculate points on a cubic bezier curve.

bezier_polyline(bezier, splinesteps=16)

Takes an array of bezier points and converts it into a 3D polyline.

bezier_polygon(bezier, splinesteps=16)

Takes a closed 2D bezier path, and creates a 2D polygon from it.

fillet3pts(p0, p1, p2, r)

Generate bezier curve to fillet 2 line segments between 3 points. Returns two path points with surrounding cubic bezier control points.

fillet_path(pts, fillet)

Takes a 3D polyline path and fillets it into a 3d cubic bezier path.

bezier_close_to_axis(bezier)

Takes a bezier path and closes it to the X axis.

bezier_offset(inset, bezier)

Takes a bezier curve and closes it with a matching path that is lowered by a given amount towards the X axis.

Modules

revolve_bezier(bezier, splinesteps=16) {

Takes a closed 2D bezier and rotates it around the X axis, forming a solid.

Arg	What it is
bezier	Array of points for the bezier path to rotate.
splinesteps	Number of segments to divide each bezier segment into.

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]
];
revolve_bezier(path, splinesteps=32, $fn=180);

revolve_bezier_solid_to_axis(bezier, splinesteps=16) {

Takes a 2D bezier and rotates it around the X axis, forming a solid.

Arg	What it is
bezier	array of points for the bezier path to rotate.
splinesteps	number of segments to divide each bezier segment into.

Example:

path = [ [0, 10], [33, 10], [66, 40], [100, 40] ];
revolve_bezier_solid_to_axis(path, splinesteps=32, $fn=72);

revolve_bezier_offset_shell(bezier, offset=1, splinesteps=16) {

Takes a 2D bezier and rotates it around the X axis, into a hollow shell.

Arg	What it is
bezier	array of points for the bezier path to rotate.
offset	the thickness of the created shell.
splinesteps	number of segments to divide each bezier segment into.

Example:

path = [ [0, 10], [33, 10], [66, 40], [100, 40] ];
revolve_bezier_offset_shell(path, offset=1, splinesteps=32, $fn=72);

extrude_2d_shapes_along_bezier(bezier, splinesteps=16) {

Extrudes 2D children along a bezier path.

Arg	What it is
bezier	array of points for the bezier path to extrude along.
splinesteps	number of segments to divide each bezier segment into.

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);
}

extrude_bezier_along_bezier(bezier, path, pathsteps=16, bezsteps=16) {

Takes a closed 2D bezier path, centered on the XY plane, and extrudes it perpendicularly along a 3D bezier path, forming a solid.

Arg	What it is
bezier	Array of points of a bezier path, to be extruded.
path	Array of points of a bezier path, to extrude along.
pathsteps	number of steps to divide each path segment into.
bezsteps	number of steps to divide each bezier segment into.

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] ];
path = [ [0, 0, 0], [33, 33, 33], [66, -33, -33], [100, 0, 0] ];
extrude_bezier_along_bezier(bez, path, pathsteps=64, bezsteps=32);