stiletto/notebooks/shape_bezier_fit.ipynb

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{
"cells": [
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"import common\n",
"import fitCurves\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from matplotlib.path import Path\n",
"from math import inf\n",
"import matplotlib.patches as patches\n",
"import glob\n",
"import rdp\n",
"#time, pos = common.import_csv_data('w_data.csv')\n",
"#pos[1]=-pos[1]\n",
"#paths=[pos]\n",
"paths = []\n",
"for csv_path in glob.glob('outs/*.csv'):\n",
" _, p = common.import_csv_data(csv_path)\n",
" paths.append(p)"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [],
"source": [
"def fit_bezier_to_points(points):\n",
" filtered_points = rdp.rdp(np.stack((points[0], points[1]), axis=1))\n",
" control_points = fitCurves.fitCurve(filtered_points, 1e0)\n",
" return [(s[0],s[1]) for s in np.concatenate(control_points)]"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 1440x2160 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def generate_bezier_patch(control_points):\n",
" codes = [\n",
" Path.MOVETO,\n",
" Path.CURVE4,\n",
" Path.CURVE4,\n",
" Path.CURVE4,\n",
" ] * (len(control_points)//4)\n",
"\n",
" path = Path(control_points, codes)\n",
" return patches.PathPatch(path, facecolor='none', lw=2)\n",
"\n",
"\n",
"fig, ax = plt.subplots(figsize=(20, 30))\n",
"min_x = min_y = inf\n",
"max_x = max_y = -inf\n",
"for points in paths:\n",
" control_points = fit_bezier_to_points(points)\n",
" patch = generate_bezier_patch(control_points)\n",
" ax.add_patch(patch)\n",
" min_x = min(min_x, min(points[0]))\n",
" min_y = min(min_y, min(points[1]))\n",
" max_x = max(max_x, max(points[0]))\n",
" max_y = max(max_y, max(points[1]))\n",
"ax.set_xlim(min_x, max_x)\n",
"ax.set_ylim(min_y, max_y)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.5"
}
},
"nbformat": 4,
"nbformat_minor": 4
}