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   "execution_count": 1,
   "id": "8b8d7b17-af50-42cd-b531-ef61c49c9e61",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Set the work directory to the imaginaire root.\n",
    "import os, sys, time\n",
    "import pathlib"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "db0ce6a4-1fac-4c62-8426-c68c274e18ef",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "/home/worker/yt/CVPR24/neuralangelo\n"
     ]
    }
   ],
   "source": [
    "!pwd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "2b5b9e2f-841c-4815-92e0-0c76ed46da62",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Import Python libraries.\n",
    "import numpy as np\n",
    "import torch\n",
    "import k3d\n",
    "import json\n",
    "import plotly.graph_objs as go\n",
    "from collections import OrderedDict\n",
    "# Import imaginaire modules.\n",
    "from projects.nerf.utils import camera, visualize\n",
    "from third_party.colmap.scripts.python.read_write_model import read_model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "76033016-2d92-4a5d-9e50-3978553e8df4",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "# images: 100\n",
      "# points: 17116\n"
     ]
    }
   ],
   "source": [
    "# Read the COLMAP data.\n",
    "colmap_path = \"datasets/lego_ds2\"\n",
    "cameras, images, points_3D = read_model(path=f\"{colmap_path}/sparse\", ext=\".bin\")\n",
    "# Convert camera poses.\n",
    "images = OrderedDict(sorted(images.items()))\n",
    "qvecs = torch.from_numpy(np.stack([image.qvec for image in images.values()]))\n",
    "tvecs = torch.from_numpy(np.stack([image.tvec for image in images.values()]))\n",
    "Rs = camera.quaternion.q_to_R(qvecs)\n",
    "poses = torch.cat([Rs, tvecs[..., None]], dim=-1)  # [N,3,4]\n",
    "print(f\"# images: {len(poses)}\")\n",
    "# Get the sparse 3D points and the colors.\n",
    "xyzs = torch.from_numpy(np.stack([point.xyz for point in points_3D.values()]))\n",
    "rgbs = np.stack([point.rgb for point in points_3D.values()])\n",
    "rgbs_int32 = (rgbs[:, 0] * 2**16 + rgbs[:, 1] * 2**8 + rgbs[:, 2]).astype(np.uint32)\n",
    "print(f\"# points: {len(xyzs)}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "47862ee1-286c-4877-a181-4b33b7733719",
   "metadata": {},
   "outputs": [],
   "source": [
    "vis_depth = 0.2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "b6cf60ec-fe6a-43ba-9aaf-e3c7afd88208",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Visualize the bounding sphere.\n",
    "json_fname = f\"{colmap_path}/transforms.json\"\n",
    "with open(json_fname) as file:\n",
    "    meta = json.load(file)\n",
    "center = meta[\"sphere_center\"]\n",
    "radius = meta[\"sphere_radius\"]\n",
    "# ------------------------------------------------------------------------------------\n",
    "# These variables can be adjusted to make the bounding sphere fit the region of interest.\n",
    "# The adjusted values can then be set in the config as data.readjust.center and data.readjust.scale\n",
    "readjust_center = np.array([0., 0., 0.])\n",
    "readjust_scale = 1.\n",
    "# ------------------------------------------------------------------------------------\n",
    "center += readjust_center\n",
    "radius *= readjust_scale\n",
    "# Make some points to hallucinate a bounding sphere.\n",
    "sphere_points = np.random.randn(100000, 3)\n",
    "sphere_points = sphere_points / np.linalg.norm(sphere_points, axis=-1, keepdims=True)\n",
    "sphere_points = sphere_points * radius + center"
   ]
  },
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   "execution_count": 9,
   "id": "e986aed0-1aaf-4772-937c-136db7f2eaec",
   "metadata": {},
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                       {\"responsive\": true}                    ).then(function(){\n",
       "                            \n",
       "var gd = document.getElementById('b5338535-843b-4a11-8397-3c2786d2de65');\n",
       "var x = new MutationObserver(function (mutations, observer) {{\n",
       "        var display = window.getComputedStyle(gd).display;\n",
       "        if (!display || display === 'none') {{\n",
       "            console.log([gd, 'removed!']);\n",
       "            Plotly.purge(gd);\n",
       "            observer.disconnect();\n",
       "        }}\n",
       "}});\n",
       "\n",
       "// Listen for the removal of the full notebook cells\n",
       "var notebookContainer = gd.closest('#notebook-container');\n",
       "if (notebookContainer) {{\n",
       "    x.observe(notebookContainer, {childList: true});\n",
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       "\n",
       "// Listen for the clearing of the current output cell\n",
       "var outputEl = gd.closest('.output');\n",
       "if (outputEl) {{\n",
       "    x.observe(outputEl, {childList: true});\n",
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       "\n",
       "                        })                };                });            </script>        </div>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# You can choose to visualize with Plotly...\n",
    "x, y, z = *xyzs.T,\n",
    "colors = rgbs / 255.0\n",
    "sphere_x, sphere_y, sphere_z = *sphere_points.T,\n",
    "sphere_colors = [\"#4488ff\"] * len(sphere_points)\n",
    "traces_poses = visualize.plotly_visualize_pose(poses, vis_depth=vis_depth, xyz_length=0.02, center_size=0.01, xyz_width=0.005, mesh_opacity=0.05)\n",
    "trace_points = go.Scatter3d(x=x, y=y, z=z, mode=\"markers\", marker=dict(size=1, color=colors, opacity=1), hoverinfo=\"skip\")\n",
    "trace_sphere = go.Scatter3d(x=sphere_x, y=sphere_y, z=sphere_z, mode=\"markers\", marker=dict(size=0.5, color=sphere_colors, opacity=0.7), hoverinfo=\"skip\")\n",
    "traces_all = traces_poses + [trace_points, trace_sphere]\n",
    "layout = go.Layout(scene=dict(xaxis=dict(showspikes=False, backgroundcolor=\"rgba(0,0,0,0)\", gridcolor=\"rgba(0,0,0,0.1)\"),\n",
    "                              yaxis=dict(showspikes=False, backgroundcolor=\"rgba(0,0,0,0)\", gridcolor=\"rgba(0,0,0,0.1)\"),\n",
    "                              zaxis=dict(showspikes=False, backgroundcolor=\"rgba(0,0,0,0)\", gridcolor=\"rgba(0,0,0,0.1)\"),\n",
    "                              xaxis_title=\"X\", yaxis_title=\"Y\", zaxis_title=\"Z\", dragmode=\"orbit\",\n",
    "                              aspectratio=dict(x=1, y=1, z=1), aspectmode=\"data\"), height=800)\n",
    "fig = go.Figure(data=traces_all, layout=layout)\n",
    "fig.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "fdde170b-4546-4617-9162-a9fcb936347d",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/worker/anaconda3/envs/neural/lib/python3.8/site-packages/traittypes/traittypes.py:97: UserWarning:\n",
      "\n",
      "Given trait value dtype \"float64\" does not match required type \"float32\". A coerced copy has been created.\n",
      "\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "4383d73de1dd4320a315f995b56980cf",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# ... or visualize with K3D.\n",
    "plot = k3d.plot(name=\"poses\", height=800, camera_rotate_speed=5.0, camera_zoom_speed=3.0, camera_pan_speed=1.0)\n",
    "k3d_objects = visualize.k3d_visualize_pose(poses, vis_depth=vis_depth, xyz_length=0.02, center_size=0.01, xyz_width=0.005, mesh_opacity=0.05)\n",
    "for k3d_object in k3d_objects:\n",
    "    plot += k3d_object\n",
    "plot += k3d.points(xyzs, colors=rgbs_int32, point_size=0.02, shader=\"flat\")\n",
    "plot += k3d.points(sphere_points, color=0x4488ff, point_size=0.01, shader=\"flat\")\n",
    "plot.display()\n",
    "plot.camera_fov = 30.0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "520edbfa-aec7-446f-bf24-c401c5f505b5",
   "metadata": {},
   "outputs": [],
   "source": []
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