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Merge branch 'master' into pr/483

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Garth Minette
2021-04-06 18:22:39 -07:00
parent 8c0e389ec4 b1ab140e3c
commit bda2661855
33 changed files with 583 additions and 334 deletions
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25
beziers.scad
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@@ -413,16 +413,17 @@ function bezier_curvature(curve, u) =
// Topics: Bezier Segments
// See Also: bezier_curvature(), bezier_tangent(), bezier_derivative(), bezier_points()
// Description:
// Takes a list of bezier curve control points and generates n points along the bezier path.
// Points start at the first control point and are sampled every `1/n`th
// of the way along the bezier parameter, ending *before* the final control point by default.
// The distance between the points will *not* be equidistant. If you wish to add the
// endpoint you can set `endpoint` to true. The degree of the bezier curve is one
// less than the number of points in `curve`.
// Takes a list of bezier control points and generates n points along the bezier curve they define.
// Points start at the first control point and are sampled uniformly along the bezier parameter.
// The endpoints of the output will be *exactly* equal to the first and last bezier control points
// when endpoint is true. If endpoint is false the sampling stops one step before the final point
// of the bezier curve, but you still get n, more tightly spaced, points.
// The distance between the points will *not* be equidistant.
// The degree of the bezier curve 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.
// endpoint = if true then add the endpoint (an extra point, giving n+1 points output). Default: False
// endpoint = if false then exclude the endpoint. Default: True
// Example(2D): Quadratic (Degree 2) Bezier.
// bez = [[0,0], [30,30], [80,0]];
// move_copies(bezier_curve(bez, 8)) sphere(r=1.5, $fn=12);
@@ -435,9 +436,11 @@ function bezier_curvature(curve, u) =
// bez = [[0,0], [5,15], [40,20], [60,-15], [80,0]];
// move_copies(bezier_curve(bez, 8)) sphere(r=1.5, $fn=12);
// trace_bezier(bez, N=len(bez)-1);
function bezier_curve(curve,n,endpoint) = [each bezier_points(curve, [0:1/n:(n-0.5)/n]),
if (endpoint) curve[len(curve)-1]
];
function bezier_curve(curve,n,endpoint=true) =
[
each bezier_points(curve, rangex(endpoint?n-1:n,0,1)),
if (endpoint) last(curve)
];
// Function: bezier_segment_closest_point()
// Usage:
@@ -769,7 +772,7 @@ function path_to_bezier(path, closed=false, tangents, uniform=false, size, relsi
)
assert(min(sizevect)>0, "Size and relsize must be greater than zero")
[
for(i=[0:lastpt-1])
for(i=[0:1:lastpt-1])
let(
first = path[i],
second = select(path,i+1),