{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "0",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "source": [
    "```{eval-rst}\n",
    ".. include:: sinebow.rst\n",
    "\n",
    "```\n",
    "\n",
    "{sinebow25}`Cell diameter`\n",
    "==================================\n",
    "\n",
    "The idea of an average cell diameter sounds intuitive, but the standard implementation of this idea fails to capture that intuition. \n",
    "The go-to method (adopted in Cellpose) is to calculate the cell diameter as the diameter of the circle of equivalent area. As I will demonstrate, \n",
    "this fails for anisotropic (non-circular) cells. As an alternative, I devised the following simple diameter metric: \n",
    "\n",
    "```python\n",
    "diameter = 2*(dimension+1)*np.mean(distance_field)\n",
    "```\n",
    "\n",
    "Because the distance field represents the distance to the *closest* boundary point, it naturally captures the intrinsic 'thickness' of a region (in any dimension). Averaging the field over the region \n",
    "(the first moment of the distribution) distills this information into a number that is intuitively proportional to the thickness of the region. For example, if a region is made up of a bungle of many \n",
    "thin fragments, its mean distance is far smaller than the mean distance of the circle of equivalent area. But to call it a 'diameter', I wanted this metric to match the diameter of a sphere in any dimension. \n",
    "So, by calculating the average of distance field of an n-sphere, we get the above expression for the the diameter of an n-sphere given the average of the distance field over the volume. \n",
    "\n",
    "{header-2}`Example cells`\n",
    "-------------------------\n",
    "Filamenting bacterial cells often exhibit constant width but increasing length. This dataset comes from the deletion of the essential gene *ftsN* in *Acinetobacter baylyi*. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": [
     "remove-cell"
    ]
   },
   "outputs": [],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 7200x1200 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "dark"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%capture --no-display \n",
    "\n",
    "from pathlib import Path\n",
    "from cellpose_omni import utils, plot, models, io, dynamics\n",
    "import os, sys, io\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "plt.style.use('dark_background')\n",
    "import matplotlib as mpl\n",
    "%matplotlib inline\n",
    "mpl.rcParams['figure.dpi'] = 600\n",
    "\n",
    "# Save a reference to the original stdout stream\n",
    "old_stdout = sys.stdout\n",
    "\n",
    "# Redirect stdout to a StringIO object\n",
    "sys.stdout = io.StringIO()\n",
    "\n",
    "\n",
    "import omnipose\n",
    "from omnipose.plot import imshow\n",
    "import tifffile\n",
    "omnidir = Path(omnipose.__file__).parent.parent.parent\n",
    "basedir = os.path.join(omnidir,'docs','_static')\n",
    "nm = 'ftsZ'\n",
    "masks = tifffile.imread(os.path.join(basedir,nm+'_masks.tif'))\n",
    "mnc = omnipose.plot.apply_ncolor(masks)\n",
    "\n",
    "f = 1\n",
    "c = [0.5]*3\n",
    "fontsize=10\n",
    "dpi = mpl.rcParams['figure.dpi']\n",
    "Y,X = masks.shape[-2:]\n",
    "szX = max(X//dpi,2)*f\n",
    "szY = max(Y//dpi,2)*f\n",
    "\n",
    "# T = [50,80,100,150,180,240]\n",
    "T = range(0,len(masks),45)\n",
    "titles = ['Frame {}'.format(t) for t in T]\n",
    "ims = [mnc[t] for t in T]\n",
    "N = len(titles)\n",
    "\n",
    "fig, axes = plt.subplots(1,N, figsize=(szX*N,szY))  \n",
    "fig.patch.set_facecolor([0]*4)\n",
    "\n",
    "for i,ax in enumerate(axes):\n",
    "    ax.imshow(ims[i])\n",
    "    ax.axis('off')\n",
    "    ax.set_title(titles[i],c=c,fontsize=fontsize,fontweight=\"bold\")\n",
    "\n",
    "plt.subplots_adjust(wspace=0.1)\n",
    "plt.show()\n",
    "\n",
    "# Restore the original stdout stream\n",
    "sys.stdout = old_stdout"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": [
     "hide-input"
    ]
   },
   "source": [
    "{header-2}`Compare diameter metrics`\n",
    "------------------------------------\n",
    "By plotting the mean diameter (averaged over all cells after being computed per-cell, of course), we find that \n",
    "the 'circle diameter metric' used in Cellpose rises drastically with cell length, but the 'distance diameter metric' of Omnipose remains nearly constant. If we tried to use the former to train a `SizeModel()`, images would get downsampled \n",
    "heavily to the point of cells being **too thin to segment**, and that is assuming that the model can reliably detect the highly nonlocal property of cell length in an image instead of the local property of \n",
    "cell width (at least, what we humans would point to and *call* cell width). \n",
    "\n",
    "Of course, we also want to measure *accurate* cell widths, and it turns out that the Omnipose metric scales linearly with width perfectly spherical objects and quadratically for infinite rods. Real cells fall somewhere between these two extremes, so we have also recently developed another metric for a pill (rod with hemispherical caps) that computes the cap radius `R` and rod length `L` from the area and integrated distance field. \n",
    "\n",
    "Manual inspection of these masks shows that the diameter of the cells stays at a roughly constant 8px. The measured pill diameter `2R` matches well with this, and the Omnipose metric correlates well but must be corrected with a factor of 0.75 to match the absolute scale. \n",
    "\n",
    "Assuming the strict cell geometry bothers me, and my intuition tells me that we may yet be able to construct a morphology-independent measure of cell width from the distance field. My best attempt so far is to weight the distance field inverse to the magnitude of its gradient; this is equivalent to integrating the distance field over the skeleton / medial axis. This too gives us an accurate measure of cell width. This ends up pulling in some pixels close to the poles and is sensitive to pixelization artifacts of small cells (you can see this in the dips corresponding to division events). However, this sensitivity may actually tell us something real about the cell morphology, such as the non-circularity of the poles and the pinching of the septum. I could be convinced, for example, that this measurement really does correspond to the cells being a bit fatter at `t=0` than `t=-1`. \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "4",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [],
   "source": [
    "import fastremap, edt\n",
    "n = len(masks)\n",
    "diam_old = np.zeros(n)\n",
    "cell_num = np.zeros(n)\n",
    "x = range(n)\n",
    "pL = np.zeros(n)\n",
    "pR = np.zeros(n)\n",
    "oL = np.zeros(n)\n",
    "oD = np.zeros(n)\n",
    "\n",
    "rL = np.zeros(n)\n",
    "rR = np.zeros(n)\n",
    "for k in x:\n",
    "    m = masks[k]\n",
    "    fastremap.renumber(m,in_place=True)\n",
    "    cell_num[k] = m.max()\n",
    "    diam_old[k] = utils.diameters(m,omni=False)[0]\n",
    "    pR[k], pL[k] = omnipose.core.diameters(m,pill=True)\n",
    "    oD[k], oL[k] = omnipose.core.diameters(m,pill=False,return_length=True)\n",
    "\n",
    "    # weight by flow magnitude \n",
    "    d = edt.edt(m)\n",
    "    bin0 = m>0\n",
    "    D = np.sum(d[bin0])\n",
    "    dP = np.stack(np.gradient(d))\n",
    "    w = np.sqrt(np.sum(dP**2,axis=0))<0.6\n",
    "    rR[k] = (np.sum(w[bin0]*d[bin0])/np.sum(w[bin0]))-1\n",
    "    rL[k] = (3*D - np.pi*(rR[k]**4)) / (rR[k]**3)\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "5",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x741.641 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from omnipose.utils import sinebow\n",
    "golden = (1 + 5 ** 0.5) / 2\n",
    "sz = 4\n",
    "labelsize = 5\n",
    "\n",
    "%matplotlib inline\n",
    "\n",
    "plt.style.use('dark_background')\n",
    "mpl.rcParams['figure.dpi'] = 300 \n",
    "\n",
    "axcol = [0.5]*3+[1]\n",
    "f = 0.75\n",
    "labels = ['Cellpose','Omnipose','Pill',f'Omnipose**{f}','Weighted Distance']\n",
    "lines = [diam_old,\n",
    "         oD,\n",
    "         pR*2,\n",
    "         oD**f,\n",
    "         rR*2,\n",
    "         ]\n",
    "\n",
    "N = len(labels)\n",
    "colors = sinebow(N,offset=0)\n",
    "background_color = [0]*4\n",
    "\n",
    "fig = plt.figure(figsize=(sz, sz/golden),frameon=False) \n",
    "fig.patch.set_facecolor(None)\n",
    "\n",
    "ax = plt.axes()\n",
    "maxnorm = 0\n",
    "minmaxnorm = 0\n",
    "log = 0\n",
    "for line,label,color in zip(lines,\n",
    "                            labels,\n",
    "                            [colors[i+1] for i in range(N)]):\n",
    "    l = line.copy()\n",
    "    if maxnorm:\n",
    "        l /= l.max()\n",
    "    elif minmaxnorm:\n",
    "        l = omnipose.utils.rescale(l)\n",
    "    \n",
    "    ax.plot(x,l,c=color,label=label)\n",
    "\n",
    "ax.hlines(8,x[0],x[-1],[0.75]*3,'--',label = '8px', linewidth = 0.5)\n",
    "\n",
    "\n",
    "ax.legend(loc='best', frameon=False,labelcolor=axcol, fontsize = labelsize)\n",
    "ax.tick_params(axis='both', which='major', labelsize=labelsize,length=3, direction=\"out\",colors=axcol,bottom=True,left=True)\n",
    "ax.tick_params(axis='both', which='minor', labelsize=labelsize,length=3, direction=\"out\",colors=axcol,bottom=True,left=True)\n",
    "ax.set_ylabel('Diameter metric', fontsize = labelsize,c=axcol)\n",
    "ax.set_xlabel('Frame number', fontsize = labelsize, c=axcol)\n",
    "ax.set_facecolor(background_color)\n",
    "\n",
    "for spine in ax.spines.values():\n",
    "    spine.set_color(axcol)\n",
    "    \n",
    "ax.spines['top'].set_visible(False)\n",
    "ax.spines['right'].set_visible(False)\n",
    "ax.grid(False)\n",
    "if log: ax.set_yscale('log')\n",
    "\n",
    "\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "keep_output": true,
  "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": "3.11.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}