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@@ -356,7 +356,7 @@ These examples incubate dotSCAD and dotSCAD refactors these examples. See [examp
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Signature | Description
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--|--
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[**surface/sf_curve**(levels, curve_path, ...)](https://openhome.cc/eGossip/OpenSCAD/lib3x-sf_curve.html) | curve a photo.
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**surface/sf_splines**(ctrl_pts, row_spline, column_spline) | generalized-spline surface.
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[**surface/sf_splines**(ctrl_pts, row_spline, column_spline)](https://openhome.cc/eGossip/OpenSCAD/lib3x-sf_splines.html) | generalized-spline surface.
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## Triangle
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docs/lib3x-sf_splines.md
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docs/lib3x-sf_splines.md
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# sf_splines
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Given a set of control points and spline functions, the `sf_splines` function returns surface points.
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**Since:** 3.1
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## Parameters
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- `ctrl_pts` : A set of control points. See examples below.
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- `row_spline` : The spline function for row points.
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- `column_spline` : The spline function for columns points. Default to `row_spline`.
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## Examples
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If you want to make a bezier surface:
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use <bezier_curve.scad>;
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use <function_grapher.scad>;
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use <surface/sf_splines.scad>;
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ctrl_pts = [
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[[0, 0, 20], [60, 0, -35], [90, 0, 60], [200, 0, 5]],
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[[0, 50, 30], [100, 60, -25], [120, 50, 120], [200, 50, 5]],
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[[0, 100, 0], [60, 120, 35], [90, 100, 60], [200, 100, 45]],
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[[0, 150, 0], [60, 150, -35], [90, 180, 60], [200, 150, 45]]
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];
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thickness = 2;
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t_step = 0.05;
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bezier = function(points) bezier_curve(t_step, points);
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function_grapher(sf_splines(ctrl_pts, bezier), thickness);
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The following figure shows controll points and bazier curves around the surface.
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If you want to make a bspline surface:
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use <bspline_curve.scad>;
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use <function_grapher.scad>;
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use <surface/sf_splines.scad>;
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ctrl_pts = [
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[[0, 0, 20], [60, 0, -35], [90, 0, 60], [200, 0, 5]],
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[[0, 50, 30], [100, 60, -25], [120, 50, 120], [200, 50, 5]],
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[[0, 100, 0], [60, 120, 35], [90, 100, 60], [200, 100, 45]],
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[[0, 150, 0], [60, 150, -35], [90, 180, 60], [200, 150, 45]]
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];
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thickness = 2;
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t_step = 0.05;
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degrees = 2;
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bspline = function(points) bspline_curve(t_step, degrees, points);
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function_grapher(sf_splines(ctrl_pts, bspline), thickness);
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@@ -1,3 +1,13 @@
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/**
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* sf_splines.scad
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*
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* @copyright Justin Lin, 2021
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* @license https://opensource.org/licenses/lgpl-3.0.html
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*
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* @see https://openhome.cc/eGossip/OpenSCAD/lib3x-sf_splines.html
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*
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**/
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function sf_splines(ctrl_pts, row_spline, column_spline) =
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let(
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leng_ctrl_pts = len(ctrl_pts),
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@@ -13,78 +23,3 @@ function sf_splines(ctrl_pts, row_spline, column_spline) =
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for(c = 0; c < leng_r_pts0; c = c + 1)
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cspline([for(r = 0; r < leng_r_pts; r = r + 1) r_pts[r][c]])
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];
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/*
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use <bspline_curve.scad>;
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use <function_grapher.scad>;
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use <surface/sf_splines.scad>;
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ctrl_pts = [
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[[0, 0, 20], [60, 0, -35], [90, 0, 60], [200, 0, 5]],
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[[0, 50, 30], [100, 60, -25], [120, 50, 120], [200, 50, 5]],
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[[0, 100, 0], [60, 120, 35], [90, 100, 60], [200, 100, 45]],
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[[0, 150, 0], [60, 150, -35], [90, 180, 60], [200, 150, 45]]
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];
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thickness = 2;
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t_step = 0.05;
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degrees = 2;
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row_spline = function(points) bspline_curve(t_step, degrees, points);
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column_spline = function(points) bspline_curve(t_step, degrees, points);
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function_grapher(sf_splines(ctrl_pts, row_spline, column_spline), thickness);
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*/
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/*
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use <bezier_curve.scad>;
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use <function_grapher.scad>;
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use <surface/sf_splines.scad>;
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ctrl_pts = [
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[[0, 0, 20], [60, 0, -35], [90, 0, 60], [200, 0, 5]],
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[[0, 50, 30], [100, 60, -25], [120, 50, 120], [200, 50, 5]],
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[[0, 100, 0], [60, 120, 35], [90, 100, 60], [200, 100, 45]],
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[[0, 150, 0], [60, 150, -35], [90, 180, 60], [200, 150, 45]]
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];
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thickness = 2;
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t_step = 0.05;
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row_spline = function(points) bezier_curve(t_step, points);
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column_spline = function(points) bezier_curve(t_step, points);
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function_grapher(sf_splines(ctrl_pts, row_spline, column_spline), thickness);
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*/
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/*
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use <curve.scad>;
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use <function_grapher.scad>;
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use <surface/sf_splines.scad>;
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use <hull_polyline3d.scad>;
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ctrl_pts = [
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[[0, 0, 20], [20, 0, -15], [90, 0, 30], [200, 0, 5]],
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[[0, 20, 30], [30, 30, -25], [80, 40, 20], [100, 50, 5]],
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[[0, 100, 0], [20, 90, 15], [90, 100, 10], [100, 100, 45]],
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[[0, 110, 0], [40, 120, -35], [90, 130, 20], [120, 120, 15]]
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];
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thickness = 2;
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t_step = 0.05;
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row_spline = function(points) curve(t_step, points);
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column_spline = function(points) curve(t_step, points);
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function_grapher(sf_splines(ctrl_pts, row_spline, column_spline), thickness);
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for(i = [0:3]) {
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%hull_polyline3d(ctrl_pts[i]);
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#hull_polyline3d(curve(t_step, ctrl_pts[i]));
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}
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*/
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