{ "cells": [ { "cell_type": "markdown", "id": "0", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "```{eval-rst}\n", ".. include:: sinebow.rst\n", "\n", "```\n", "\n", "{sinebow23}`Cell contours`\n", "==================================\n", "\n", "The boundary of a closed and bounded 2D region may be parameterized as a function of one variable. Instance masks, or more specifically, affinity graphs, allow us to traverse the boundary of a cell and index each pixel from 0 to N-1, where N is the number of boundary pixels. Indexed/parameterized boundaries are called contours. \n", "\n", "\n", "{header-2}`Example cells`\n", "-------------------------\n", "The [previous section](affinity.ipynb#affinity-segmentation) demonstrated the generation of cell contours in the context of self-contact, where a cyclic color map was applied to visualize the cell boundaries. Here we demonstrate how to convert contours to vector outlines with a simpler set of cell masks. We first preprocess the masks to remove any \"spurs\" (boundary pixels sharing only one face with a neighbor), then generate an affinity graph, compute the contours, and finally make a spline to interpolate a smooth outline through the contour pixels. " ] }, { "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": { "image/png": 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"text/plain": [ "
" ] }, "execution_count": null, "metadata": {}, "output_type": "execute_result" } ], "source": [ "%%capture --no-display \n", "\n", "from scipy.interpolate import splprep, splev\n", "from skimage.segmentation import find_boundaries\n", "import matplotlib.pyplot as plt\n", "import matplotlib.path as mpath\n", "import matplotlib.patches as mpatches\n", "\n", "\n", "import matplotlib as mpl\n", "%matplotlib inline\n", "\n", "mpl.rcParams['figure.dpi'] = 600\n", "import matplotlib.pyplot as plt\n", "from matplotlib import cm\n", "plt.style.use('dark_background')\n", "plt.rcParams['image.cmap'] = 'gray'\n", "plt.rcParams['image.interpolation'] = 'nearest'\n", "plt.rcParams['figure.frameon'] = False\n", "\n", "\n", "import omnipose\n", "import cellpose_omni\n", "import numpy as np\n", "\n", "from omnipose.plot import imshow\n", "\n", "from pathlib import Path\n", "import os, re\n", "from cellpose_omni import io\n", "import fastremap\n", "\n", "omnidir = Path(omnipose.__file__).parent.parent.parent\n", "basedir = os.path.join(omnidir,'docs','_static')\n", "# name = 'ecoli_phase'\n", "name = 'ecoli'\n", "ext = '.tif'\n", "image = io.imread(os.path.join(basedir,name+ext))\n", "masks = io.imread(os.path.join(basedir,name+'_labels'+ext))\n", "slc = omnipose.measure.crop_bbox(masks>0,pad=0)[0]\n", "masks = fastremap.renumber(masks[slc])[0]\n", "image = image[slc]\n", "\n", "# set up dimensions\n", "msk = masks\n", "dim = msk.ndim\n", "shape = msk.shape\n", "steps,inds,idx,fact,sign = omnipose.utils.kernel_setup(dim)\n", "\n", "# remove spur points - this method is way easier than running core._despur() on the priginal affinity graph\n", "bd = find_boundaries(msk,mode='inner',connectivity=2)\n", "msk, bounds, _ = omnipose.core.boundary_to_masks(bd,binary_mask=msk>0,connectivity=1) \n", "\n", "# generate affinity graph\n", "coords = np.nonzero(msk)\n", "affinity_graph = omnipose.core.masks_to_affinity(msk, coords, steps, inds, idx, fact, sign, dim)\n", "neighbors = omnipose.utils.get_neighbors(tuple(coords),steps,dim,shape) # shape (d,3**d,npix)\n", "\n", "# find contours \n", "contour_map, contour_list, unique_L = omnipose.core.get_contour(msk,\n", " affinity_graph,\n", " coords,\n", " neighbors,\n", " cardinal_only=1)\n", "\n", "# make a figure\n", "dpi=90\n", "fig = imshow([image,masks,bd,bounds,contour_map,image],\n", " titles=['image','masks','boundary','despurred boundary','contour','vector outline'], \n", " dpi=dpi, hold=True)\n", "\n", "# plot vector outlines on last panel \n", "ax = fig.get_axes()[-1]\n", "\n", "# outline params\n", "smooth_factor = 5 # smaller is smoother, higher follows pixel edges more tightly \n", "color = 'r' \n", "\n", "\n", "for contour in contour_list:\n", " if len(contour) > 1:\n", " pts = np.stack([c[contour] for c in coords]).T\n", " tck, u = splprep(pts.T, u=None, s=len(pts)/smooth_factor, per=1) \n", " u_new = np.linspace(u.min(), u.max(), len(pts))\n", " x_new, y_new = splev(u_new, tck, der=0)\n", "\n", " # Define the points of the polygon\n", " points = np.column_stack([y_new, x_new])\n", " \n", " # Create a Path from the points\n", " path = mpath.Path(points, closed=True)\n", " \n", " # Create a PathPatch from the Path\n", " patch = mpatches.PathPatch(path, fill=None, edgecolor=color, linewidth= dpi/72, capstyle='round')\n", " \n", " ax.add_patch(patch)\n", "\n", "fig" ] }, { "cell_type": "markdown", "id": "3", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "Currently, the contours are not following strict left- or right-handedness, and that is something I would like to improve. \n", "" ] } ], "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 }