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Added bezier_curve()

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Revar Desmera 2019-05-31 18:25:47 -07:00
parent 2a4544ad48
commit 0733eb7e34
1 changed files with 24 additions and 0 deletions
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beziers.scad
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@ -69,6 +69,30 @@ function bez_point(curve,u)=
);
// Function: bezier_curve()
// Usage:
// bezier_curve(curve, n);
// Description:
// Takes a list of bezier curve control points, and a count of path points to generate. The points
// returned will be along the curve, starting at the first control point, then about every `1/n`th
// of the way along the curve, ending about `1/n`th of the way *before* the final control point.
// The distance between the points will *not* be equidistant. The degree of the curve, N, is one
// less than the number of points in `curve`.
// Arguments:
// curve = The list of endpoints and control points for this bezier segment.
// n = The number of points to generate along the bezier curve.
// Example(2D): Quadratic (Degree 2) Bezier.
// bez = [[0,0], [30,30], [80,0]];
// stroke(bezier_curve(bez, 16));
// Example(2D): Cubic (Degree 3) Bezier
// bez = [[0,0], [5,35], [60,-25], [80,0]];
// stroke(bezier_curve(bez, 16));
// Example(2D): Degree 4 Bezier.
// bez = [[0,0], [5,15], [40,20], [60,-15], [80,0]];
// stroke(bezier_curve(bez, 16));
function bezier_curve(curve,n) = [for(i=[0:1:n-1]) bez_point(curve, i/(n-1))];
// Function: bezier_segment_closest_point()
// Usage:
// bezier_segment_closest_point(bezier,pt)