notebooks/SENSE Example.ipynb

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   "source": [
    "## SENSE Example\n",
    "\n",
    "This code essentially applies the same operations as in Basic Example, but including sensitivity maps from simulated sensitivity coils. The coil multiplications and NUFFT operations are broadcast multiplied by default, giving rapid computations.\n",
    "\n",
    "### Note\n",
    "\n",
    "This notebook uses the shepp_logan_phantom from scikit-image, which is included in scikit-image v0.16. The standard Anaconda scikit-image as of this writing is 0.15. To use this notebook, you'll need to upgrade scikit-image to v0.16, e.g. ```conda install -c conda-forge scikit-image=0.16```.\n",
    "\n",
    "### References\n",
    "\n",
    "Fessler, J. A., & Sutton, B. P. (2003). Nonuniform fast Fourier transforms using min-max interpolation. IEEE transactions on signal processing, 51(2), 560-574.\n",
    "\n",
    "Beatty, P. J., Nishimura, D. G., & Pauly, J. M. (2005). Rapid gridding reconstruction with a minimal oversampling ratio. IEEE transactions on medical imaging, 24(6), 799-808.\n",
    "\n",
    "Pruessmann, K. P., Weiger, M., Scheidegger, M. B., & Boesiger, P. (1999). SENSE: sensitivity encoding for fast MRI. Magnetic resonance in medicine, 42(5), 952-962."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import torch\n",
    "import torchkbnufft as tkbn\n",
    "from skimage.data import shepp_logan_phantom\n",
    "\n",
    "from mrisensesim import mrisensesim\n",
    "\n",
    "dtype = torch.complex64"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "# create a simple shepp logan phantom and plot it\n",
    "image = shepp_logan_phantom().astype(np.complex)\n",
    "im_size = image.shape\n",
    "plt.imshow(np.absolute(image))\n",
    "plt.gray()\n",
    "plt.title('Shepp-Logan Phantom')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "image shape: torch.Size([1, 1, 400, 400])\n"
     ]
    }
   ],
   "source": [
    "# convert the phantom to a tensor and unsqueeze coil and batch dimension\n",
    "image = torch.tensor(image, dtype=dtype).unsqueeze(0).unsqueeze(0)\n",
    "print('image shape: {}'.format(image.shape))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "# create a k-space trajectory and plot it\n",
    "spokelength = image.shape[-1] * 2\n",
    "grid_size = (spokelength, spokelength)\n",
    "nspokes = 405\n",
    "\n",
    "ga = np.deg2rad(180 / ((1 + np.sqrt(5)) / 2))\n",
    "kx = np.zeros(shape=(spokelength, nspokes))\n",
    "ky = np.zeros(shape=(spokelength, nspokes))\n",
    "ky[:, 0] = np.linspace(-np.pi, np.pi, spokelength)\n",
    "for i in range(1, nspokes):\n",
    "    kx[:, i] = np.cos(ga) * kx[:, i - 1] - np.sin(ga) * ky[:, i - 1]\n",
    "    ky[:, i] = np.sin(ga) * kx[:, i - 1] + np.cos(ga) * ky[:, i - 1]\n",
    "    \n",
    "ky = np.transpose(ky)\n",
    "kx = np.transpose(kx)\n",
    "\n",
    "ktraj = np.stack((ky.flatten(), kx.flatten()), axis=0)\n",
    "\n",
    "# plot the first 40 spokes\n",
    "plt.plot(kx[:40, :].transpose(), ky[:40, :].transpose())\n",
    "plt.axis('equal')\n",
    "plt.title('k-space trajectory (first 40 spokes)')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "ktraj shape: torch.Size([2, 324000])\n"
     ]
    }
   ],
   "source": [
    "# convert k-space trajectory to a tensor\n",
    "ktraj = torch.tensor(ktraj, dtype=torch.float)\n",
    "print('ktraj shape: {}'.format(ktraj.shape))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 8 Axes>",
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "# simulate some sensitivity coils (no phase for simplicity)\n",
    "ncoil = 8\n",
    "smap = np.absolute(np.stack(mrisensesim(im_size, coil_width=64))).astype(np.complex)\n",
    "\n",
    "fig, axs = plt.subplots(2, 4)\n",
    "for i, ax in enumerate(axs.flat):\n",
    "    ax.imshow(np.absolute(smap[i]))\n",
    "plt.gray()\n",
    "    \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# convert smaps to tensors, unsqueeze batch dimension\n",
    "smap = torch.tensor(smap, dtype=dtype).unsqueeze(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "\nKbNufft\n----------------------------------------\nbuffers\n\ttensor: table_0, shape: (6145,)\n\ttensor: table_1, shape: (6145,)\n\ttensor: im_size, shape: (2,)\n\ttensor: grid_size, shape: (2,)\n\ttensor: n_shift, shape: (2,)\n\ttensor: numpoints, shape: (2,)\n\ttensor: offsets, shape: (36, 2)\n\ttensor: table_oversamp, shape: (2,)\n\ttensor: order, shape: (2,)\n\ttensor: alpha, shape: (2,)\n\ttensor: scaling_coef, shape: (400, 400)\n\n\nKbNufftAdjoint\n----------------------------------------\nbuffers\n\ttensor: table_0, shape: (6145,)\n\ttensor: table_1, shape: (6145,)\n\ttensor: im_size, shape: (2,)\n\ttensor: grid_size, shape: (2,)\n\ttensor: n_shift, shape: (2,)\n\ttensor: numpoints, shape: (2,)\n\ttensor: offsets, shape: (36, 2)\n\ttensor: table_oversamp, shape: (2,)\n\ttensor: order, shape: (2,)\n\ttensor: alpha, shape: (2,)\n\ttensor: scaling_coef, shape: (400, 400)\n\n"
     ]
    }
   ],
   "source": [
    "# build nufft operators\n",
    "nufft_ob = tkbn.KbNufft(im_size=im_size, grid_size=grid_size).to(image)\n",
    "adjnufft_ob = tkbn.KbNufftAdjoint(im_size=im_size, grid_size=grid_size).to(image)\n",
    "\n",
    "print(nufft_ob)\n",
    "print(adjnufft_ob)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "# calculate k-space data\n",
    "kdata = nufft_ob(image, ktraj, smaps=smap)\n",
    "# add some noise (robustness test)\n",
    "siglevel = torch.abs(kdata).mean()\n",
    "kdata = kdata + (siglevel/5) * torch.randn(kdata.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 8 Axes>",
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "# convert kdata to numpy and plot\n",
    "kdata_numpy = np.reshape(kdata.numpy(), (ncoil, nspokes, spokelength))\n",
    "\n",
    "fig, axs = plt.subplots(2, 4)\n",
    "for i, ax in enumerate(axs.flat):\n",
    "    ax.imshow(np.log10(np.absolute(kdata_numpy[i])))\n",
    "plt.gray()\n",
    "    \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "# adjnufft back\n",
    "# method 1: no density compensation (blurry image)\n",
    "image_blurry = adjnufft_ob(kdata, ktraj, smaps=smap)\n",
    "\n",
    "# method 2: use density compensation\n",
    "dcomp = tkbn.calc_density_compensation_function(ktraj=ktraj, im_size=im_size)\n",
    "image_sharp = adjnufft_ob(kdata * dcomp, ktraj, smaps=smap)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "# show the images, some phase errors may occur due to smap\n",
    "image_blurry_numpy = np.squeeze(image_blurry.numpy())\n",
    "\n",
    "image_sharp_numpy = np.squeeze(image_sharp.numpy())\n",
    "\n",
    "plt.figure(0)\n",
    "plt.imshow(np.absolute(image_blurry_numpy))\n",
    "plt.gray()\n",
    "plt.title('blurry image')\n",
    "\n",
    "plt.figure(1)\n",
    "plt.imshow(np.absolute(image_sharp_numpy))\n",
    "plt.gray()\n",
    "plt.title('sharp image (with density compensation)')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "name": "python3",
   "display_name": "Python 3.8.5 64-bit ('nufft': conda)",
   "metadata": {
    "interpreter": {
     "hash": "c5b8762d3a44eed5d24b4a5485f1a784678ea8c97601a47e2fd9910269b6c76b"
    }
   }
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5-final"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}