{ "cells": [ { "cell_type": "markdown", "id": "bb5c617d-ae13-477f-9a41-7d57b007dc50", "metadata": {}, "source": [ "The notebook illustrates geometric queries and updates to Voronoi diagrams and Delaunay triangulations." ] }, { "cell_type": "markdown", "id": "e3162cec-d5e6-495b-b818-f0f1951d666e", "metadata": {}, "source": [ "# 1. Kd trees" ] }, { "cell_type": "markdown", "id": "61aa7309-14dc-484d-be68-1ae160f723cb", "metadata": {}, "source": [ "The code below\n", "illustrates the KDTree of scipy.spatial on 100 random points.\n", "All points are plotted as blue dots.\n", "We query the points in a disk centered at (0.5, 0.5), with radius 0.2,\n", "and show the points inside the disk as red dots." ] }, { "cell_type": "code", "execution_count": 1, "id": "d018937e-9fd9-4af0-b176-3311bd7d1700", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from scipy.spatial import KDTree\n", "from matplotlib import pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "id": "d65a04f1-d1a0-461f-acdf-8cae8c3d631e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "points = np.random.rand(100, 2)\n", "tree = KDTree(points)\n", "print(tree.tree)" ] }, { "cell_type": "code", "execution_count": 3, "id": "97392277-bcde-4052-bf03-245fafb310c2", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[54, 19, 86, 69, 95, 81, 91, 16, 9, 98, 38, 65, 90, 58]" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "disk = tree.query_ball_point((0.5, 0.5), r=0.2, p=2.0)\n", "disk" ] }, { "cell_type": "code", "execution_count": 4, "id": "dd4a2ea9-86fc-4f52-ab3e-101ca5bd5619", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "plt.axes().set_aspect('equal')\n", "plt.plot(points[:,0], points[:,1], 'b.')\n", "for idx in disk:\n", " x, y = points[idx]\n", " plt.plot(x, y, 'r.')\n", "circle = plt.Circle((0.5, 0.5), 0.2, fill=False)\n", "plt.gca().add_artist(circle)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "1dae2c73-0c42-4048-a5cb-82edc74badb2", "metadata": {}, "source": [ "For the three dimensional version, we plot with mayavi.\n", "We query the points in a ball centered at (0.5, 0.5, 0.5), with radius 0.25,\n", "and show the points inside the ball as red dots." ] }, { "cell_type": "code", "execution_count": 5, "id": "45edc04f-17ed-4928-baed-a1a1eccd02e1", "metadata": {}, "outputs": [], "source": [ "from mayavi import mlab" ] }, { "cell_type": "code", "execution_count": 6, "id": "0c4e21d5-54ec-4917-ab56-a5779dd50dcc", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[37, 57, 96, 22]\n" ] } ], "source": [ "points = np.random.rand(100, 3)\n", "tree = KDTree(points)\n", "ball = tree.query_ball_point( (0.5, 0.5, 0.5), r=0.25, p=2.0)\n", "print(ball)" ] }, { "cell_type": "markdown", "id": "f906cffc-853b-4f20-9241-33d496fee0e3", "metadata": {}, "source": [ "The code below will pop up a viewing window outside the browser." ] }, { "cell_type": "code", "execution_count": 7, "id": "d7e46449-76db-45cd-8172-87ee8e989884", "metadata": {}, "outputs": [], "source": [ "mlab.points3d(points[:,0], points[:,1], points[:,2], \n", " color=(0,0,1), scale_factor=0.05)\n", "for idx in ball:\n", " x, y, z = points[idx]\n", " mlab.points3d(x, y, z, color=(1,0,0), scale_factor=0.075)\n", "u, v = np.mgrid[0:2*np.pi:20j, 0:np.pi:10j]\n", "x = 0.5+0.25*np.cos(u)*np.sin(v)\n", "y = 0.5+0.25*np.sin(u)*np.sin(v)\n", "z = 0.5+0.25*np.cos(v)\n", "mlab.mesh(x, y, z, transparent=True, color=(0,1,0), \n", " representation='wireframe')\n", "mlab.show()" ] }, { "cell_type": "markdown", "id": "e57918c3-55aa-44fa-939b-4d1bb6c647bf", "metadata": {}, "source": [ "# 2. Searching a Delaunay Triangulation" ] }, { "cell_type": "markdown", "id": "fc508734-9f6f-4336-b83c-b8e2eb33f93e", "metadata": {}, "source": [ "The code blow plots a Delaunay triangulation of 10 random points\n", "and uses a random point to illustrate a search." ] }, { "cell_type": "code", "execution_count": 8, "id": "675ef815-4a42-4229-b92e-5db0a68637aa", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from scipy.spatial import Delaunay, delaunay_plot_2d\n", "from scipy.spatial import tsearch\n", "from matplotlib import pyplot as plt" ] }, { "cell_type": "code", "execution_count": 9, "id": "b5adf0b2-5380-4ce4-a2f1-38ac84c10dd5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Searched for point (0.5, 0.5) ...\n", "Found in simplex with index : 4\n", "spanned by\n", "point 8 : [0.92261971 0.5284503 ]\n", "point 5 : [0.43313386 0.56831747]\n", "point 2 : [0.9083108 0.04691763]\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "points = np.random.rand(10, 2)\n", "tri = Delaunay(points)\n", "point = [0.5, 0.5]\n", "idx = tri.find_simplex(point)\n", "result = tri.simplices[idx]\n", "print('Searched for point (0.5, 0.5) ...')\n", "print('Found in simplex with index :', idx)\n", "print('spanned by')\n", "for pt in result:\n", " print('point', pt, ':', points[pt])\n", "fig = plt.figure()\n", "axs = fig.add_subplot()\n", "delaunay_plot_2d(tri, ax=axs)\n", "axs.plot(point[0], point[1], 'b+')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "87e045d3-e2df-4c4d-98e8-112ae408f3e0", "metadata": {}, "source": [ "# 3. Searching a Voronoi diagram" ] }, { "cell_type": "markdown", "id": "6b19a0b8-d8fb-4b55-af78-baa524a08481", "metadata": {}, "source": [ "The code below plots a Voronoi diagram of 10 random points.\n", "and uses a point to illustrate a search." ] }, { "cell_type": "code", "execution_count": 10, "id": "80d2b5bc-8c04-443b-9779-f380d832ee1c", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from scipy.spatial import Voronoi, voronoi_plot_2d\n", "from scipy.spatial import KDTree\n", "from matplotlib import pyplot as plt" ] }, { "cell_type": "code", "execution_count": 11, "id": "35334a25-e868-4242-8352-0c8a020ebce5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Searched for the point (0.5, 0.5) ...\n", "index of the nearest site : 9\n", "distance of the nearest site : 0.14891874400821706\n", "coordinates of the nearest site :\n", "[0.64312289 0.45885839]\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "points = np.random.rand(10, 2)\n", "vor = Voronoi(points)\n", "tree = KDTree(points)\n", "point = [0.5, 0.5]\n", "dst, idx = tree.query(point)\n", "print('Searched for the point (0.5, 0.5) ...')\n", "print('index of the nearest site :', idx)\n", "print('distance of the nearest site :', dst)\n", "print('coordinates of the nearest site :')\n", "nearest = points[idx]\n", "print(nearest)\n", "fig = plt.figure()\n", "axs = fig.add_subplot()\n", "voronoi_plot_2d(vor, ax=axs)\n", "axs.plot(point[0], point[1], 'r+')\n", "axs.plot([point[0], nearest[0]], [point[1], nearest[1]], 'g-')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "ff117fe8-d305-492d-96e2-701ff48d0460", "metadata": {}, "source": [ "# 4. Adding to a Voronoi diagram" ] }, { "cell_type": "markdown", "id": "87eaecc1-adaa-432a-ad69-e3ac401204b3", "metadata": {}, "source": [ "The code below plots a Voronoi diagram of 7 random points,\n", "with three points added." ] }, { "cell_type": "code", "execution_count": 12, "id": "50728740-14ab-4b3f-9847-c97114c6aa83", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from scipy.spatial import Voronoi, voronoi_plot_2d\n", "from matplotlib import pyplot as plt" ] }, { "cell_type": "code", "execution_count": 13, "id": "db5acca3-6dc5-4551-b1a1-a4de5b5ebb2c", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "points = np.random.rand(7, 2)\n", "vor = Voronoi(points, incremental=True)\n", "fig = plt.figure()\n", "ax1 = fig.add_subplot(2, 2, 1)\n", "ax1.set_xlim(0.0, 1.1)\n", "ax1.set_ylim(0.0, 1.1)\n", "voronoi_plot_2d(vor, ax=ax1)\n", "newpoints = np.random.rand(3, 2)\n", "for k in range(3):\n", " axk = fig.add_subplot(2, 2, k+2)\n", " axk.set_xlim(0.0, 1.1)\n", " axk.set_ylim(0.0, 1.1)\n", " x, y = newpoints[k]\n", " vor.add_points([[x, y]])\n", " voronoi_plot_2d(vor, ax=axk)\n", " axk.plot(x, y, 'ro')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "5a8adfca-c8be-44b4-a182-5a977c6e1fae", "metadata": {}, "source": [ "# 5. Adding to a Delaunay triangulation" ] }, { "cell_type": "markdown", "id": "3f5c300c-8b19-4808-875b-da1fe6d839db", "metadata": {}, "source": [ "The code below plots a Delaunay triangulation of 7 random points,\n", "with three points added." ] }, { "cell_type": "code", "execution_count": 14, "id": "aafe8e2f-a94c-48d5-8382-47b857ee1cba", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from scipy.spatial import Delaunay, delaunay_plot_2d\n", "from matplotlib import pyplot as plt" ] }, { "cell_type": "code", "execution_count": 15, "id": "55ee25ab-669e-43cc-99a3-1151d37cc9c4", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "points = np.random.rand(7, 2)\n", "tri = Delaunay(points, incremental=True)\n", "fig = plt.figure()\n", "ax1 = fig.add_subplot(2, 2, 1)\n", "ax1.set_xlim(0.0, 1.1)\n", "ax1.set_ylim(0.0, 1.1)\n", "delaunay_plot_2d(tri, ax=ax1)\n", "newpoints = np.random.rand(3, 2)\n", "for k in range(3):\n", " axk = fig.add_subplot(2, 2, k+2)\n", " axk.set_xlim(0.0, 1.1)\n", " axk.set_ylim(0.0, 1.1)\n", " x, y = newpoints[k]\n", " tri.add_points([[x, y]])\n", " delaunay_plot_2d(tri, ax=axk)\n", " axk.plot(x, y, 'ro')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "e29b23ef-410f-4128-8e87-416ce5a3b0d0", "metadata": {}, "source": [ "# 6. Shortest Paths" ] }, { "cell_type": "markdown", "id": "50dfb23f-03bd-4237-9da8-fef124ccf364", "metadata": {}, "source": [ "To introduce Dijkstra's algorithm to compute shortest paths,\n", "we define a row-based linked list sparse matrix (lil_matrix)." ] }, { "cell_type": "code", "execution_count": 16, "id": "5e099c09-8ace-45d5-a5cd-31bce898f60a", "metadata": {}, "outputs": [], "source": [ "from scipy.sparse import lil_matrix\n", "from scipy.sparse.csgraph import shortest_path" ] }, { "cell_type": "code", "execution_count": 17, "id": "9a36cc11-3b86-49d2-b549-a8cb4fff57a8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " (0, 1)\t1.0\n", " (0, 2)\t2.0\n", " (1, 3)\t1.0\n", " (2, 0)\t2.0\n", " (2, 3)\t3.0\n" ] } ], "source": [ "G = lil_matrix((4, 4))\n", "G[0, 1] = 1\n", "G[0, 2] = 2\n", "G[1, 3] = 1\n", "G[2, 0] = 2\n", "G[2, 3] = 3\n", "print(G)" ] }, { "cell_type": "code", "execution_count": 18, "id": "93e3a98a-51c1-4a11-ad48-87a19bb43bdb", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "distances : [0. 1. 2. 2.]\n", "predecessors : [-9999 0 0 1]\n" ] } ], "source": [ "dstmat, pred = shortest_path(csgraph=G, method='D',\n", " directed=False, indices=0, return_predecessors=True)\n", "\n", "print('distances :', dstmat)\n", "print('predecessors :', pred)" ] }, { "cell_type": "markdown", "id": "0d0569ee-8c6b-4b01-8eb2-68b9e75124d8", "metadata": {}, "source": [ "# 7. Shortest Path in the lake Superior polygon" ] }, { "cell_type": "markdown", "id": "53af9663-aebe-4485-be57-4a97b1f7603d", "metadata": {}, "source": [ "Following the Mastering Scipy book of Francisco J. Blanco-Silva, \n", "Packt Publishing 2015, the code below plots the Delaunay triangulation\n", "of the Lake Superior polygon, with the triangulate of Triangle.\n", "A constrained conforming Delaunay triangulation (cfdt) is computed \n", "with the flag p to indicate that the source is a planar straight \n", "line graph and the flag D to enforce Steiner points.\n", "We furthermore require that all triangles have a minimum angle\n", "of at least 20 degrees and impose a maximum area on triangles." ] }, { "cell_type": "code", "execution_count": 19, "id": "a5291722-49cd-40f8-937f-c2642538e778", "metadata": {}, "outputs": [], "source": [ "from read_poly import read_poly\n", "from matplotlib import pyplot as plt\n", "from triangle import triangulate\n", "from triangle import plot as tplot\n", "from scipy.spatial import minkowski_distance\n", "from scipy.sparse import lil_matrix\n", "from scipy.sparse.csgraph import shortest_path" ] }, { "cell_type": "code", "execution_count": 20, "id": "b3c2eaef-0ea9-4be0-974a-3d0459b13467", "metadata": {}, "outputs": [], "source": [ "lake_superior = read_poly('superior.poly')\n", "cncfq20adt = triangulate(lake_superior, 'pq20a.001D')" ] }, { "cell_type": "markdown", "id": "751f47c0-1c24-47f5-9482-65b0a208af61", "metadata": {}, "source": [ "We collect indices of the vertices of all segments in\n", "the triangulation, and the lengths of these segments:" ] }, { "cell_type": "code", "execution_count": 21, "id": "58eaa892-e14a-4e18-aa74-190bd6f16428", "metadata": {}, "outputs": [], "source": [ "X = cncfq20adt['triangles'][:,0]\n", "Y = cncfq20adt['triangles'][:,1]\n", "Z = cncfq20adt['triangles'][:,2]\n", "Xvert = [cncfq20adt['vertices'][x] for x in X]\n", "Yvert = [cncfq20adt['vertices'][y] for y in Y]\n", "Zvert = [cncfq20adt['vertices'][z] for z in Z]\n", "lengthsXY = minkowski_distance(Xvert, Yvert)\n", "lengthsXZ = minkowski_distance(Xvert, Zvert)\n", "lengthsYZ = minkowski_distance(Yvert, Zvert)" ] }, { "cell_type": "markdown", "id": "f0a95c27-930b-4e94-b642-9742ecc8b32f", "metadata": {}, "source": [ "We create the weighted-adjacency matrix, stored as a lil_matrix,\n", "and compute the shortest path between the requested vertices:" ] }, { "cell_type": "code", "execution_count": 22, "id": "efa5ef33-5057-4243-9c47-a8e93c249b88", "metadata": {}, "outputs": [], "source": [ "nvert = len(cncfq20adt['vertices'])\n", "G = lil_matrix((nvert, nvert))\n", "for k in range(len(X)):\n", " G[X[k], Y[k]] = G[Y[k], X[k]] = lengthsXY[k]\n", " G[X[k], Z[k]] = G[Z[k], X[k]] = lengthsXZ[k]\n", " G[Y[k], Z[k]] = G[Z[k], Y[k]] = lengthsYZ[k]" ] }, { "cell_type": "markdown", "id": "5ed570b6-c7ec-4d3d-a16c-6085f9f6fdee", "metadata": {}, "source": [ "We call Dijkstra's algorithm to compute the shortest path." ] }, { "cell_type": "code", "execution_count": 23, "id": "2a3a050f-3a37-46ff-8be1-f3cdd579e522", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[370, 369, 629, 553, 358, 357, 680, 714, 469, 470, 632, 744, 764, 799, 800, 791, 790, 789, 801, 732, 725, 570, 647, 177, 178, 179, 180, 181, 182, 644, 571, 201, 200, 199, 197]\n" ] } ], "source": [ "dist_mat, pred = shortest_path(G, directed=True, method='D',\n", " return_predecessors=True)\n", "index = 370\n", "path = [370]\n", "while index != 197:\n", " index = pred[197, index]\n", " path.append(index)\n", "print(path)" ] }, { "cell_type": "code", "execution_count": 24, "id": "db468edf-bc5b-428e-ad7a-9d11c7700c03", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plt.subplot(111)\n", "tplot(ax, **cncfq20adt)\n", "Xs = [cncfq20adt['vertices'][x][0] for x in path]\n", "Ys = [cncfq20adt['vertices'][x][1] for x in path]\n", "ax.plot(Xs, Ys, '-', linewidth=5, color='blue')\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.10.10" } }, "nbformat": 4, "nbformat_minor": 5 }