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 "nbformat": 4,
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 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import open3d as o3d\n",
    "import numpy as np\n",
    "import math\n",
    "from scipy.spatial import Delaunay\n",
    "import matplotlib.pyplot as plt\n",
    "import math\n",
    "from functools import reduce"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "pcd = o3d.io.read_point_cloud(\"data/stockpile.ply\")\n",
    "axes = o3d.geometry.TriangleMesh.create_coordinate_frame()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "plane_model, inliers = pcd.segment_plane(distance_threshold=0.01,\n",
    "                                         ransac_n=3,\n",
    "                                         num_iterations=10000)\n",
    "\n",
    "\n",
    "[a, b, c, d] = plane_model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "plane_pcd = pcd.select_by_index(inliers)\n",
    "plane_pcd.paint_uniform_color([1.0, 0, 0])\n",
    "stockpile_pcd = pcd.select_by_index(inliers, invert=True)\n",
    "stockpile_pcd.paint_uniform_color([0, 0, 1.0])\n",
    "\n",
    "o3d.visualization.draw_geometries([plane_pcd, stockpile_pcd, axes])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "plane_pcd = plane_pcd.translate((0,0,d/c))\n",
    "stockpile_pcd = stockpile_pcd.translate((0,0,d/c))\n",
    "\n",
    "cos_theta = c / math.sqrt(a**2 + b**2 + c**2)\n",
    "sin_theta = math.sqrt((a**2+b**2)/(a**2 + b**2 + c**2))\n",
    "u_1 = b / math.sqrt(a**2 + b**2 )\n",
    "u_2 = -a / math.sqrt(a**2 + b**2)\n",
    "\n",
    "rotation_matrix = np.array([[cos_theta + u_1**2 * (1-cos_theta), u_1*u_2*(1-cos_theta), u_2*sin_theta],\n",
    "                            [u_1*u_2*(1-cos_theta), cos_theta + u_2**2*(1- cos_theta), -u_1*sin_theta],\n",
    "                            [-u_2*sin_theta, u_1*sin_theta, cos_theta]])\n",
    "\n",
    "plane_pcd.rotate(rotation_matrix)\n",
    "stockpile_pcd.rotate(rotation_matrix)\n",
    "o3d.visualization.draw_geometries([plane_pcd, stockpile_pcd, axes])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "o3d.visualization.draw_geometries([stockpile_pcd])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "cl, ind = stockpile_pcd.remove_statistical_outlier(nb_neighbors=30,\n",
    "                                                    std_ratio=2.0)\n",
    "stockpile_pcd = stockpile_pcd.select_by_index(ind)\n",
    "o3d.visualization.draw_geometries([stockpile_pcd])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "downpdc = stockpile_pcd.voxel_down_sample(voxel_size=0.05)\n",
    "xyz = np.asarray(downpdc.points)\n",
    "xy_catalog = []\n",
    "for point in xyz:\n",
    "    xy_catalog.append([point[0], point[1]])\n",
    "tri = Delaunay(np.array(xy_catalog))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
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       " <matplotlib.lines.Line2D at 0x203613a8100>]"
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     },
     "metadata": {},
     "execution_count": 9
    },
    {
     "output_type": "display_data",
     "data": {
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "xy_catalog = np.array(xy_catalog)\n",
    "plt.triplot(xy_catalog[:,0], xy_catalog[:,1], tri.simplices)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "surface = o3d.geometry.TriangleMesh()\n",
    "surface.vertices = o3d.utility.Vector3dVector(xyz)\n",
    "surface.triangles = o3d.utility.Vector3iVector(tri.simplices)\n",
    "surface.paint_uniform_color([0, 0, 1.0])\n",
    "o3d.visualization.draw_geometries([surface], mesh_show_wireframe=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_triangles_vertices(triangles, vertices):\n",
    "    triangles_vertices = []\n",
    "    for triangle in triangles:\n",
    "        new_triangles_vertices = [vertices[triangle[0]], vertices[triangle[1]], vertices[triangle[2]]]\n",
    "        triangles_vertices.append(new_triangles_vertices)\n",
    "    return np.array(triangles_vertices)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "def volume_under_triangle(triangle):\n",
    "    p1, p2, p3 = triangle\n",
    "    x1, y1, z1 = p1\n",
    "    x2, y2, z2 = p2\n",
    "    x3, y3, z3 = p3\n",
    "    return abs((z1+z2+z3)*(x1*y2-x2*y1+x2*y3-x3*y2+x3*y1-x1*y3)/6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "The volume of the stockpile is: 0.0099 m3\n"
     ]
    }
   ],
   "source": [
    "volume = reduce(lambda a, b:  a + volume_under_triangle(b), get_triangles_vertices(surface.triangles, surface.vertices), 0)\n",
    "print(f\"The volume of the stockpile is: {round(volume, 4)} m3\")"
   ]
  }
 ]
}