{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import os \n",
"import seaborn as sns\n",
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"\n",
"from scipy.spatial import Voronoi, ConvexHull\n",
"from shapely.geometry import MultiPoint, Point, Polygon\n",
"from scipy.spatial import voronoi_plot_2d\n",
"\n",
"# import custom functions\n",
"os.chdir('..')\n",
"from FLOCK_GPS import DataLoading, Preprocessing, SpatialFeats\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Load data"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# Initialize path to data (UTM-converted datasets)\n",
"data_dir = os.getcwd() + '\\\\SampleData'\n",
"\n",
"# Load datasets\n",
"raw_datasets = DataLoading.load_data(data_dir)\n",
"\n",
"# Re-shape datasets\n",
"datasets = DataLoading.pivot_datsets(raw_datasets)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Get the interpolated data"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"# get interpolated datasets\n",
"interp_datasets = Preprocessing.interpolate_datasets(datasets, threshold = 0.99)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Get movement periods\n"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"# get slices for movement periods and break times \n",
"rucks_bySquad, rests_bySquad, all_stops = Preprocessing.get_slices_byArea(interp_datasets, plot=False)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Get the smoothed data of one example squad\n"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"smooth_rucks = Preprocessing.spline_smoothing(rucks_bySquad[1], s=3e1, UTM=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Get stretch index over time
(each individual's distance to centroid)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
" 0%| | 0/7 [00:00, ?it/s]"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 7/7 [00:00<00:00, 23.57it/s]\n",
"100%|██████████| 7/7 [00:12<00:00, 1.85s/it]\n",
"100%|██████████| 7/7 [03:59<00:00, 34.18s/it]\n"
]
}
],
"source": [
"cent_dists = SpatialFeats.get_cent_dist(smooth_rucks) \n",
"\n",
"neighbor_ds = SpatialFeats.neighbor_dists(smooth_rucks)\n",
"\n",
"SAs = SpatialFeats.get_surface_area(smooth_rucks) \n",
"\n",
"voronoi_areas, voronoi_ratios = SpatialFeats.get_voronoi_areas(smooth_rucks)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plot some spatial features here"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"random_period = np.random.randint(len(smooth_rucks))\n",
"random_timepoint = np.random.randint(len(smooth_rucks[random_period]))"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"example_ruck = smooth_rucks[random_period]\n",
"example_timepoint = example_ruck.iloc[random_timepoint]"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"cent_dists_ex = cent_dists[random_period].iloc[random_timepoint]"
]
},
{
"cell_type": "code",
"execution_count": 91,
"metadata": {},
"outputs": [],
"source": [
"# get UTM points for this squad at this timepoint\n",
"points = [[example_timepoint['UTM_x',S], example_timepoint['UTM_y',S]] for S in example_timepoint['UTM_x'].index]\n",
"\n",
"# normalize points\n",
"points = np.array(points) - np.mean(np.array(points), axis=0)\n",
"\n",
"# Calculate Voronoi diagram\n",
"vor = Voronoi(points)\n",
"\n",
"# get regions and vertices\n",
"regions, vertices = SpatialFeats.voronoi_finite_polygons_2d(vor)\n",
"\n",
"# Create 'points' object\n",
"pts = MultiPoint([Point(i) for i in points])\n",
"\n",
"# create convex hull mask\n",
"mask = pts.convex_hull"
]
},
{
"cell_type": "code",
"execution_count": 134,
"metadata": {},
"outputs": [],
"source": [
"# define colors for all plots \n",
"names = smooth_rucks[0].latitude.columns.tolist()\n",
"color_dictionary = dict(zip(names, sns.color_palette(as_cmap=True)[:len(names)]))"
]
},
{
"cell_type": "code",
"execution_count": 258,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\n",
"x,y = mask.exterior.xy\n",
"plt.plot(x,y)\n",
"\n",
"fig = voronoi_plot_2d(vor, ax=plt.gca(), point_size=15, show_vertices=False, c = [color_dictionary[n] for n in names])\n",
"\n",
"# fig = voronoi_plot_2d(vor, ax=plt.gca(), point_size=0, show_vertices=False, c = [color_dictionary[n] for n in names])\n",
"\n",
"# plt.scatter([p[0] for p in points], [p[1] for p in points], c = [color_dictionary[n] for n in names], s=100)\n",
"\n",
"# plt.gca().set_ylabel('UTM y')\n",
"plt.gca().set_xlabel('UTM coordinates')\n",
"\n",
"plt.scatter(x=0, y=0, s=50)\n",
"\n",
"x,y = Polygon(vertices[regions[4]]).exterior.xy\n",
"plt.plot(x,y, fillstyle='full')\n",
"\n",
"plt.legend(['Convex hull edges', 'Group members', 'voronoi space edges\\n(for one member)', 'voronoi space edges', 'voronoi space edges\\n(outside of convex hull)', 'Centroid of group'], loc='lower left')\n",
"\n",
"plt.tight_layout()\n",
"plt.gca().set_aspect(1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plot spatial metrics separately"
]
},
{
"cell_type": "code",
"execution_count": 254,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# centorid distance\n",
"\n",
"plt.scatter([p[0] for p in points], [p[1] for p in points], c = [color_dictionary[n] for n in names], s=100, label='Group members')\n",
"plt.scatter(0,0, label='Centroid location', marker='s', color='k', s=50)\n",
"\n",
"# [plt.arrow(p[0] , p[1], -p[0]/3, -p[1]/3, width=0.1, length_includes_head=False, color='k') for p in points]\n",
"[plt.plot((p[0],0) , (p[1],0), ls=':') for p in points]\n",
"\n",
"x,y = mask.exterior.xy\n",
"plt.plot(x,y, label='Convex hull', c='k', alpha=0.2)\n",
"\n",
"plt.legend()\n",
"\n",
"plt.xlabel('Meters')\n",
"\n",
"plt.suptitle('Convex Hull (surface area)\\nand\\nDistance to the centroid (stretch index)')\n",
"plt.tight_layout()\n",
"plt.gca().set_aspect(1)"
]
},
{
"cell_type": "code",
"execution_count": 255,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\n",
"fig = voronoi_plot_2d(vor, ax=plt.gca(), point_size=0, show_vertices=False, c = [color_dictionary[n] for n in names])\n",
"\n",
"plt.scatter([p[0] for p in points], [p[1] for p in points], c = [color_dictionary[n] for n in names], s=100, label='Group members')\n",
"\n",
"\n",
"x,y = mask.exterior.xy\n",
"plt.plot(x,y, label='Convex hull', ls=':', c='k')#, alpha=0.5)\n",
"\n",
"for r, n in zip(regions, names):\n",
" x,y = Polygon(vertices[r]).exterior.xy\n",
" if n==names[0]:\n",
" plt.fill(x,y, c=color_dictionary[n], alpha=0.4, label='Voronoi space')\n",
" else:\n",
" plt.fill(x,y, c=color_dictionary[n], alpha=0.4)\n",
"\n",
"\n",
"\n",
"plt.legend(loc='lower left')\n",
"\n",
"plt.xlabel('Meters')\n",
"\n",
"plt.suptitle('Voronoi spaces for each group member')\n",
"plt.tight_layout()\n",
"plt.gca().set_aspect(1)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "ruckenv",
"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": "3.9.13"
}
},
"nbformat": 4,
"nbformat_minor": 2
}