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Justin Lin
2021-06-15 09:58:46 +08:00
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Signature | Description Signature | Description
--|-- --|--
[**surface/sf_curve**(levels, curve_path, ...)](https://openhome.cc/eGossip/OpenSCAD/lib3x-sf_curve.html) | curve a photo. [**surface/sf_curve**(levels, curve_path, ...)](https://openhome.cc/eGossip/OpenSCAD/lib3x-sf_curve.html) | curve a photo.
**surface/sf_splines**(ctrl_pts, row_spline, column_spline) | generalized-spline surface. [**surface/sf_splines**(ctrl_pts, row_spline, column_spline)](https://openhome.cc/eGossip/OpenSCAD/lib3x-sf_splines.html) | generalized-spline surface.
## Triangle ## Triangle

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# sf_splines
Given a set of control points and spline functions, the `sf_splines` function returns surface points.
**Since:** 3.1
## Parameters
- `ctrl_pts` : A set of control points. See examples below.
- `row_spline` : The spline function for row points.
- `column_spline` : The spline function for columns points. Default to `row_spline`.
## Examples
If you want to make a bezier surface:
use <bezier_curve.scad>;
use <function_grapher.scad>;
use <surface/sf_splines.scad>;
ctrl_pts = [
[[0, 0, 20], [60, 0, -35], [90, 0, 60], [200, 0, 5]],
[[0, 50, 30], [100, 60, -25], [120, 50, 120], [200, 50, 5]],
[[0, 100, 0], [60, 120, 35], [90, 100, 60], [200, 100, 45]],
[[0, 150, 0], [60, 150, -35], [90, 180, 60], [200, 150, 45]]
];
thickness = 2;
t_step = 0.05;
bezier = function(points) bezier_curve(t_step, points);
function_grapher(sf_splines(ctrl_pts, bezier), thickness);
![sf_splines](images/lib3x-sf_splines-1.JPG)
The following figure shows controll points and bazier curves around the surface.
![sf_splines](images/lib3x-sf_splines-2.JPG)
If you want to make a bspline surface:
use <bspline_curve.scad>;
use <function_grapher.scad>;
use <surface/sf_splines.scad>;
ctrl_pts = [
[[0, 0, 20], [60, 0, -35], [90, 0, 60], [200, 0, 5]],
[[0, 50, 30], [100, 60, -25], [120, 50, 120], [200, 50, 5]],
[[0, 100, 0], [60, 120, 35], [90, 100, 60], [200, 100, 45]],
[[0, 150, 0], [60, 150, -35], [90, 180, 60], [200, 150, 45]]
];
thickness = 2;
t_step = 0.05;
degrees = 2;
bspline = function(points) bspline_curve(t_step, degrees, points);
function_grapher(sf_splines(ctrl_pts, bspline), thickness);
![sf_splines](images/lib3x-sf_splines-3.JPG)

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@@ -1,3 +1,13 @@
/**
* sf_splines.scad
*
* @copyright Justin Lin, 2021
* @license https://opensource.org/licenses/lgpl-3.0.html
*
* @see https://openhome.cc/eGossip/OpenSCAD/lib3x-sf_splines.html
*
**/
function sf_splines(ctrl_pts, row_spline, column_spline) = function sf_splines(ctrl_pts, row_spline, column_spline) =
let( let(
leng_ctrl_pts = len(ctrl_pts), leng_ctrl_pts = len(ctrl_pts),
@@ -12,79 +22,4 @@ function sf_splines(ctrl_pts, row_spline, column_spline) =
[ [
for(c = 0; c < leng_r_pts0; c = c + 1) for(c = 0; c < leng_r_pts0; c = c + 1)
cspline([for(r = 0; r < leng_r_pts; r = r + 1) r_pts[r][c]]) cspline([for(r = 0; r < leng_r_pts; r = r + 1) r_pts[r][c]])
]; ];
/*
use <bspline_curve.scad>;
use <function_grapher.scad>;
use <surface/sf_splines.scad>;
ctrl_pts = [
[[0, 0, 20], [60, 0, -35], [90, 0, 60], [200, 0, 5]],
[[0, 50, 30], [100, 60, -25], [120, 50, 120], [200, 50, 5]],
[[0, 100, 0], [60, 120, 35], [90, 100, 60], [200, 100, 45]],
[[0, 150, 0], [60, 150, -35], [90, 180, 60], [200, 150, 45]]
];
thickness = 2;
t_step = 0.05;
degrees = 2;
row_spline = function(points) bspline_curve(t_step, degrees, points);
column_spline = function(points) bspline_curve(t_step, degrees, points);
function_grapher(sf_splines(ctrl_pts, row_spline, column_spline), thickness);
*/
/*
use <bezier_curve.scad>;
use <function_grapher.scad>;
use <surface/sf_splines.scad>;
ctrl_pts = [
[[0, 0, 20], [60, 0, -35], [90, 0, 60], [200, 0, 5]],
[[0, 50, 30], [100, 60, -25], [120, 50, 120], [200, 50, 5]],
[[0, 100, 0], [60, 120, 35], [90, 100, 60], [200, 100, 45]],
[[0, 150, 0], [60, 150, -35], [90, 180, 60], [200, 150, 45]]
];
thickness = 2;
t_step = 0.05;
row_spline = function(points) bezier_curve(t_step, points);
column_spline = function(points) bezier_curve(t_step, points);
function_grapher(sf_splines(ctrl_pts, row_spline, column_spline), thickness);
*/
/*
use <curve.scad>;
use <function_grapher.scad>;
use <surface/sf_splines.scad>;
use <hull_polyline3d.scad>;
ctrl_pts = [
[[0, 0, 20], [20, 0, -15], [90, 0, 30], [200, 0, 5]],
[[0, 20, 30], [30, 30, -25], [80, 40, 20], [100, 50, 5]],
[[0, 100, 0], [20, 90, 15], [90, 100, 10], [100, 100, 45]],
[[0, 110, 0], [40, 120, -35], [90, 130, 20], [120, 120, 15]]
];
thickness = 2;
t_step = 0.05;
row_spline = function(points) curve(t_step, points);
column_spline = function(points) curve(t_step, points);
function_grapher(sf_splines(ctrl_pts, row_spline, column_spline), thickness);
for(i = [0:3]) {
%hull_polyline3d(ctrl_pts[i]);
#hull_polyline3d(curve(t_step, ctrl_pts[i]));
}
*/