notebooks/01-AMASS_Visualization.ipynb

{
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   "cell_type": "markdown",
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   "source": [
    "# Visualizing Body Data\n",
    "AMASS uses [MoSh++](https://amass.is.tue.mpg.de) pipeline to fit [SMPL+H body model](https://mano.is.tue.mpg.de/)\n",
    "to marker based human motion capture (mocap) data.\n",
    "[These mocaps](https://amass.is.tue.mpg.de) are from different publicly available datasets.\n",
    "A single data file in amass has the parameters to control gender, pose, shape, global rotation, translation and soft tissue dynamics\n",
    "in correspondence with the original motion capture sequence.\n",
    "Here we present code snippets to render a body image with these parameters.\n",
    "Mocap is a time sequence data, and you can visualize the \"moshed\" per frame results."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "pycharm": {
     "is_executing": true
    }
   },
   "outputs": [],
   "source": [
    "# Preparing the environment\n",
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "%matplotlib notebook\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "pycharm": {
     "is_executing": true
    }
   },
   "outputs": [],
   "source": [
    "import torch\n",
    "import numpy as np\n",
    "\n",
    "from human_body_prior.tools.omni_tools import copy2cpu as c2c\n",
    "from os import path as osp\n",
    "\n",
    "support_dir = '../support_data/'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "# Choose the device to run the body model on.\n",
    "comp_device = torch.device(\"cuda\" if torch.cuda.is_available() else \"cpu\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "is_executing": true,
     "name": "#%% md\n"
    }
   },
   "source": [
    "We assume you have downloaded the required body model and placed them in body_models directory of this repository.\n",
    "For SMPL+H body model, download it from http://mano.is.tue.mpg.de/.\n",
    "Please download the AMASS version of the model with DMPL blendshapes.\n",
    "You can obtain dynamic shape blendshapes, e.g. DMPLs, from http://smpl.is.tue.mpg.de.\n",
    "In case, you use any of these models in your research please follow their respective citation rules."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "pycharm": {
     "is_executing": true,
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Data keys available:['poses', 'gender', 'mocap_framerate', 'betas', 'marker_data', 'dmpls', 'marker_labels', 'trans']\n",
      "The subject of the mocap sequence is  male.\n"
     ]
    }
   ],
   "source": [
    "amass_npz_fname = osp.join(support_dir, 'github_data/dmpl_sample.npz') # the path to body data\n",
    "bdata = np.load(amass_npz_fname)\n",
    "\n",
    "# you can set the gender manually and if it differs from data's then contact or interpenetration issues might happen\n",
    "subject_gender = bdata['gender']\n",
    "\n",
    "print('Data keys available:%s'%list(bdata.keys()))\n",
    "\n",
    "print('The subject of the mocap sequence is  {}.'.format(subject_gender))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "from human_body_prior.body_model.body_model import BodyModel\n",
    "\n",
    "bm_fname = osp.join(support_dir, 'body_models/smplh/{}/model.npz'.format(subject_gender))\n",
    "dmpl_fname = osp.join(support_dir, 'body_models/dmpls/{}/model.npz'.format(subject_gender))\n",
    "\n",
    "num_betas = 16 # number of body parameters\n",
    "num_dmpls = 8 # number of DMPL parameters\n",
    "\n",
    "bm = BodyModel(bm_fname=bm_fname, num_betas=num_betas, num_dmpls=num_dmpls, dmpl_fname=dmpl_fname).to(comp_device)\n",
    "faces = c2c(bm.f)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "source": [
    "The provided sample data has the original mocap marker data.\n",
    "In the real AMASS dataset, we include only markers for the test set.\n",
    "For the rest of the subsets you can obtain the marker data from their respective websites.\n",
    "In the following we make PyTorch tensors for parameters controlling different part of the body model.\n",
    "\n",
    "**Note the indices for different body part pose.**"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "outputs": [],
   "source": [
    "time_length = len(bdata['trans'])\n",
    "\n",
    "body_parms = {\n",
    "    'root_orient': torch.Tensor(bdata['poses'][:, :3]).to(comp_device), # controls the global root orientation\n",
    "    'pose_body': torch.Tensor(bdata['poses'][:, 3:66]).to(comp_device), # controls the body\n",
    "    'pose_hand': torch.Tensor(bdata['poses'][:, 66:]).to(comp_device), # controls the finger articulation\n",
    "    'trans': torch.Tensor(bdata['trans']).to(comp_device), # controls the global body position\n",
    "    'betas': torch.Tensor(np.repeat(bdata['betas'][:num_betas][np.newaxis], repeats=time_length, axis=0)).to(comp_device), # controls the body shape. Body shape is static\n",
    "    'dmpls': torch.Tensor(bdata['dmpls'][:, :num_dmpls]).to(comp_device) # controls soft tissue dynamics\n",
    "}\n",
    "\n",
    "print('Body parameter vector shapes: \\n{}'.format(' \\n'.join(['{}: {}'.format(k,v.shape) for k,v in body_parms.items()])))\n",
    "print('time_length = {}'.format(time_length))"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "is_executing": true,
     "name": "#%% md\n"
    }
   },
   "source": [
    "Import the required files for viewing out mesh:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "import trimesh\n",
    "from body_visualizer.tools.vis_tools import colors\n",
    "from body_visualizer.mesh.mesh_viewer import MeshViewer\n",
    "from body_visualizer.mesh.sphere import points_to_spheres\n",
    "from body_visualizer.tools.vis_tools import show_image\n",
    "\n",
    "imw, imh=1600, 1600\n",
    "mv = MeshViewer(width=imw, height=imh, use_offscreen=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "is_executing": true,
     "name": "#%% md\n"
    }
   },
   "source": [
    "### Visualize betas and pose_body\n",
    "Let's see how our body looks like using the pose and body shape parameters.\n",
    "We first produce the body surface in batched mode.\n",
    "\n",
    "Now we can visualize each frame of data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x1200 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "body_pose_beta = bm(**{k:v for k,v in body_parms.items() if k in ['pose_body', 'betas']})\n",
    "\n",
    "def vis_body_pose_beta(fId = 0):\n",
    "    body_mesh = trimesh.Trimesh(vertices=c2c(body_pose_beta.v[fId]), faces=faces, vertex_colors=np.tile(colors['grey'], (6890, 1)))\n",
    "    mv.set_static_meshes([body_mesh])\n",
    "    body_image = mv.render(render_wireframe=False)\n",
    "    show_image(body_image)\n",
    "\n",
    "vis_body_pose_beta(fId=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We see a male subject sitting and havig the hands open.\n",
    "Let's articulate the fingers as well:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "is_executing": true,
     "name": "#%% md\n"
    }
   },
   "source": [
    "### Visualize pose hands\n",
    "To articulate fingers we use the 66:156 pose vector elements."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x1200 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "body_pose_hand = bm(**{k:v for k,v in body_parms.items() if k in ['pose_body', 'betas', 'pose_hand']})\n",
    "\n",
    "def vis_body_pose_hand(fId = 0):\n",
    "    body_mesh = trimesh.Trimesh(vertices=c2c(body_pose_hand.v[fId]), faces=faces, vertex_colors=np.tile(colors['grey'], (6890, 1)))\n",
    "    mv.set_static_meshes([body_mesh])\n",
    "    body_image = mv.render(render_wireframe=False)\n",
    "    show_image(body_image)\n",
    "\n",
    "vis_body_pose_hand(fId=0)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "is_executing": true,
     "name": "#%% md\n"
    }
   },
   "source": [
    "It seems that the subject is holding something with one hand.\n",
    "\n",
    "### Visualize body joints\n",
    "\n",
    "To access joint locations of the body one can use **Jtr** attribute of the returned body.\n",
    "These can be visualized as spheres.\n",
    "Here we render the body transparently to visualize the joints."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x1200 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def vis_body_joints(fId = 0):\n",
    "    joints = c2c(body_pose_hand.Jtr[fId])\n",
    "    joints_mesh = points_to_spheres(joints, point_color = colors['red'], radius=0.005)\n",
    "\n",
    "    mv.set_static_meshes([joints_mesh])\n",
    "    body_image = mv.render(render_wireframe=False)\n",
    "    show_image(body_image)\n",
    "\n",
    "vis_body_joints(fId=0)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "is_executing": true,
     "name": "#%% md\n"
    }
   },
   "source": [
    "### Visualize DMPLs\n",
    "You can control the soft tissue dynamics with DMPL parameters.\n",
    "Please have in mind, to better visualize DMPLs you would need to render a sequence. Please refer to AMASS DMPL notebook for animation renders.\n",
    "Refer to full renders of the parameter sequences in our [website](https://amass.is.tue.mpg.de/)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x1200 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "body_dmpls = bm(**{k:v for k,v in body_parms.items() if k in ['pose_body', 'betas', 'pose_hand', 'dmpls']})\n",
    "\n",
    "def vis_body_dmpls(fId = 0):\n",
    "    body_mesh = trimesh.Trimesh(vertices=c2c(body_dmpls.v[fId]), faces=faces, vertex_colors=np.tile(colors['grey'], (6890, 1)))\n",
    "    mv.set_static_meshes([body_mesh])\n",
    "    body_image = mv.render(render_wireframe=False)\n",
    "    show_image(body_image)\n",
    "\n",
    "vis_body_dmpls(fId=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "is_executing": true,
     "name": "#%% md\n"
    }
   },
   "source": [
    "### Visualizing the global root orientation\n",
    "\n",
    "In the above examples we don't use the global translation or rotation.\n",
    "However, we can globally control the character position and orientation with **trans**, and **root_orient** parameters respectively."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x1200 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "body_trans_root = bm(**{k:v for k,v in body_parms.items() if k in ['pose_body', 'betas', 'pose_hand', 'dmpls',\n",
    "                                                                   'trans', 'root_orient']})\n",
    "\n",
    "def vis_body_trans_root(fId = 0):\n",
    "    body_mesh = trimesh.Trimesh(vertices=c2c(body_trans_root.v[fId]), faces=faces, vertex_colors=np.tile(colors['grey'], (6890, 1)))\n",
    "    mv.set_static_meshes([body_mesh])\n",
    "    body_image = mv.render(render_wireframe=False)\n",
    "    show_image(body_image)\n",
    "\n",
    "vis_body_trans_root(fId=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "is_executing": true,
     "name": "#%% md\n"
    }
   },
   "source": [
    "The global root orientation of amass is so that if you render with MeshViewer you will always get a top view of the body.\n",
    "One can rotate the body into front view by transforming the mesh."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x1200 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def vis_body_transformed(fId = 0):\n",
    "    body_mesh = trimesh.Trimesh(vertices=c2c(body_trans_root.v[fId]), faces=faces, vertex_colors=np.tile(colors['grey'], (6890, 1)))\n",
    "    body_mesh.apply_transform(trimesh.transformations.rotation_matrix(-90, (0, 0, 1)))\n",
    "    body_mesh.apply_transform(trimesh.transformations.rotation_matrix(30, (1, 0, 0)))\n",
    "\n",
    "    mv.set_static_meshes([body_mesh])\n",
    "    body_image = mv.render(render_wireframe=False)\n",
    "    show_image(body_image)\n",
    "\n",
    "vis_body_transformed(fId=0)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.7.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}