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minor copyedits to smooth_path documentation

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Alex Matulich 2025-01-04 22:20:17 -08:00
parent d466c36b96
commit 652d404ff1
1 changed files with 8 additions and 8 deletions
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16
rounding.scad
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@ -605,7 +605,7 @@ function _rounding_offsets(edgespec,z_dir=1) =
// Description:
// Smooths the input path, creating a continuous curve using a cubic spline, using one of two methods.
// .
// For `method="edges"`, every segment of the path is replaced by a cubic curve with `splinesteps` points,
// For `method="edges"`, every segment (edge) of the path is replaced by a cubic curve with `splinesteps` points,
// and the cubic interpolation passes through every input point on the path, matching the tangents at every
// point. If you do not specify `tangents`, they are computed using path_tangents with `uniform=false` by
// default. Only the dirction of a tangent vector matters, not the vector length.
@ -613,24 +613,24 @@ function _rounding_offsets(edgespec,z_dir=1) =
// produces curves that overshoot the point on the path.
// .
// For `method="corners"`, every corner of the path is replaced by two cubic curves, each with
// `splinesteps` points. The two curves are joined at the corner bisector, and the cubic interpolation
// is tangent to the midpoint of every segment.
// The `tangents` and `uniform` parameters don't apply to the "corners" method. Using `tangents` with "corners" causes an error.
// `splinesteps` points. The two curves are joined at the corner bisector, and the cubic interpolations
// are tangent to the midpoint of every segment. The `tangents` and `uniform` parameters don't apply to the
// "corners" method. Using `tangents` with "corners" causes an error.
// .
// The `size` or `relsize` parameters apply to both methods. They determine how far the curve can bend away
// from the input path. In the case where the path has three non-collinear points, the size specifies the
// exact distance between the specified path and the curve (maximum distance from edge if for the "edges"
// method, or distance from corner with the "corners" method).
// In 2d when the spline may make an S-curve, for the "edges" method the size parameter specifies the sum
// In 2D when the spline may make an S-curve, for the "edges" method the size parameter specifies the sum
// of the deviations of the two peaks of the curve. In 3-space the bezier curve may have three extrema: two
// maxima and one minimum. In this case the size specifies the sum of the maxima minus the minimum.
// .
// If you give `relsize` instead, then for the "edges" method, the maximum deviation from the segment is
// relative to the segment length (e.g. 0.05 means 5% of the segment length). For the "corners" method,
// `relsize` determines where the curve intersects the corner bisector relative to the maximum deviation
// `relsize` determines where the curve intersects the corner bisector, relative to the maximum deviation
// possible (which corresponds to a circle rounding from the shortest leg of the corner). For example,
// `relsize=1` is the maximum deviation from the corner, and `relsize=0.5` causes the curve to intersect the
// corner bisector halfway between the maximum and the tip of the corner.
// `relsize=1` is the maximum deviation from the corner (a circle arc from the shortest leg), and `relsize=0.5`
// causes the curve to intersect the corner bisector halfway between the maximum and the tip of the corner.
// .
// At a given segment or corner (depending on the method) there is a maximum size: a size value that is too
// large is rounded down. See also path_to_bezpath().