From 1e20f0235d10af79c915a38fb4c4ccd3011a1f8d Mon Sep 17 00:00:00 2001 From: Justin Lin Date: Sat, 8 Apr 2017 08:57:57 +0800 Subject: [PATCH] added bazier_surface --- README.md | 1 + docs/images/lib-bezier_surface-1.JPG | Bin 0 -> 42424 bytes docs/images/lib-bezier_surface-2.JPG | Bin 0 -> 67514 bytes docs/lib-bezier_surface.md | 37 +++++++++++++++++++++++++++ src/bezier_surface.scad | 16 ++++++++++++ 5 files changed, 54 insertions(+) create mode 100644 docs/images/lib-bezier_surface-1.JPG create mode 100644 docs/images/lib-bezier_surface-2.JPG create mode 100644 docs/lib-bezier_surface.md diff --git a/README.md b/README.md index 6ceed60c..cf007f85 100644 --- a/README.md +++ b/README.md @@ -46,6 +46,7 @@ Some modules may depend on other modules. For example, the `polyline2d` module d - Path - [circle_path](https://openhome.cc/eGossip/OpenSCAD/lib-circle_path.html) - [bezier_curve](https://openhome.cc/eGossip/OpenSCAD/lib-bezier_curve.html) + - [bezier_surface](https://openhome.cc/eGossip/OpenSCAD/lib-bezier_surface.html) - [helix](https://openhome.cc/eGossip/OpenSCAD/lib-helix.html) - [archimedean_spiral](https://openhome.cc/eGossip/OpenSCAD/lib-archimedean_spiral.html) - [sphere_spiral](https://openhome.cc/eGossip/OpenSCAD/lib-sphere_spiral.html) diff --git a/docs/images/lib-bezier_surface-1.JPG b/docs/images/lib-bezier_surface-1.JPG new file mode 100644 index 0000000000000000000000000000000000000000..87b6f53c5f606de01e0f8d0744fd7f0242ae70a0 GIT binary patch literal 42424 zcmc$_byS=0nl&5>6bck+vEmRYuEn*uwYVinOMxQ6-6^y<1PBF+7l+_Za4GKY#oeK} zefiC-ciuDKcg{Cw);hB$D|!BU)}5?8_r0%u?Q8GHna6p+Hvk4Y`crf?jHl>NF)=VO zu?VoSo;|}N!o$ZQASEJuMM^|ULQcg`co`aTy!+#O~^aZ&8kD-6V 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+Given a set of control points, the `bezier_surface` function returns points of the Bézier surface. Combined with the `function_grapher` module defined in my lib-openscad, you can create a Bézier surface. + +It depends on the `bezier_curve` function so remember to include bezier_curve.scad. + +## Parameters + +- `t_step` : The distance between two points of the Bézier path. +- `points` : A set of control points. See examples below. + +## Examples + +If you have 16 control points and combine with the `function_grapher` module: + + include ; + include ; + include ; + + t_step = 0.05; + thickness = 0.5; + + 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]] + ]; + + g = bezier_surface(t_step, ctrl_pts); + function_grapher(g, thickness); + +![bezier_surface](images/lib-bezier_surface-1.JPG) + +The following figure shows controll points and bazier curves around the surface. + +![bezier_surface](images/lib-bezier_surface-2.JPG) \ No newline at end of file diff --git a/src/bezier_surface.scad b/src/bezier_surface.scad index febd7318..ac5b3a59 100644 --- a/src/bezier_surface.scad +++ b/src/bezier_surface.scad @@ -1,3 +1,19 @@ +/** +* bezier_surface.scad +* +* Given a set of control points, the bezier_surface function returns points of the Bézier surface. +* Combined with the function_grapher module defined in my lib-openscad, +* you can create a Bézier surface. +* +* It depends on the bezier_curve function so remember to include bezier_curve.scad. +* +* @copyright Justin Lin, 2017 +* @license https://opensource.org/licenses/lgpl-3.0.html +* +* @see https://openhome.cc/eGossip/OpenSCAD/lib-bezier_surface.html +* +**/ + function bezier_surface(t_step, ctrl_pts) = let(pts = [ for(i = [0:len(ctrl_pts) - 1])