{ "cells": [ { "cell_type": "code", "execution_count": 133, "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "import numpy as np\n", "import matplotlib as plt\n", "from skspatial.objects import LineSegment" ] }, { "cell_type": "code", "execution_count": 142, "metadata": {}, "outputs": [], "source": [ "# create a square shape\n", "template = [(-1, -0.95), (-0.95, -1), (0.95, -0.55), (1.0, -0.45), (1, 0.45), (0.95, 0.55), (-0.95, 1), (-1, 0.95)]\n", "# create a triangle\n", "# template = [(-1, -1), (1, -1), (0, 1)]\n", "# interpolate the shape using numpy\n", "\n", "# create a circle template\n", "# template = [(np.cos(theta), np.sin(theta)) for theta in np.linspace(0, 2*np.pi, 36)]\n", "\n" ] }, { "cell_type": "code", "execution_count": 143, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 143, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot the template shape wrapping around to the first point\n", "plt.pyplot.plot([x for x, y in template] + [template[0][0]], [y for x, y in template] + [template[0][1]])" ] }, { "cell_type": "code", "execution_count": 144, "metadata": {}, "outputs": [], "source": [ "SPACING = 0.2\n", "TURNS = 5\n", "# sweep a line from the origin through 360 degress times the number of turns in 1 degree increments\n", "# and find the intersection points with the template shape\n", "cache = {}\n", "for angle in np.arange(0, 360, 1):\n", " line = LineSegment(np.array([0, 0]), np.array([10 * np.cos(np.deg2rad(angle)), 10 * np.sin(np.deg2rad(angle))]))\n", " for i in range(len(template)):\n", " segment = LineSegment(np.array(template[i]), np.array(template[(i + 1) % len(template)]))\n", " try:\n", " intersection = line.intersect_line_segment(segment)\n", " if intersection is not None:\n", " cache[angle] = (intersection, segment)\n", " except ValueError:\n", " pass\n", "\n", "\n", "points = []\n", "for angle in np.arange(0, 360 * TURNS, 1):\n", " intersection, segment = cache[angle % 360]\n", " offset = SPACING * angle / 360\n", " vector = np.array(segment.point_a) - np.array(segment.point_b)\n", " normal = vector / np.linalg.norm(vector)\n", " # rotate the vector 90 degrees\n", " normal = np.array([-normal[1], normal[0]])\n", " # move the intersection point along the normal vector by the spacing\n", " points.append(intersection + normal * offset)\n" ] }, { "cell_type": "code", "execution_count": 145, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 145, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot the points\n", "df = pd.DataFrame(points, columns=['x', 'y'])\n", "df.plot.line(x='x', y='y')" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3.10.7 ('venv': venv)", "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": "3.10.7" }, "orig_nbformat": 4, "vscode": { "interpreter": { "hash": "1ce20143987840b9786ebb5907032c9c3a8efacbb887dbb0ebc4934f2ad26cb3" } } }, "nbformat": 4, "nbformat_minor": 2 }