{ "cells": [ { "cell_type": "markdown", "id": "0caebf0f-de3c-43c5-b50f-593f893471a9", "metadata": {}, "source": [ "# Liquid fraction & Bubble radius\n", "In this tutorial you will learn to measure liquid fraction and individual bubble radius from respectively phase-segmented (cleaned) and bubble segmented (no-edge) images.\n", " \n", "The tutorial is divided in the following sections:\n", "- Import libraries\n", "- Quantification folders\n", "- Get familiar with the input data\n", "- Liquid fraction\n", "- Get familiar with the input data\n", "- Individual bubble properties\n", "- Remove bubbles at the edges\n", "- Equivalent radius distribution" ] }, { "cell_type": "markdown", "id": "39129563-f38d-4083-be8e-acebe8490101", "metadata": {}, "source": [ "## A) Import libraries" ] }, { "cell_type": "code", "execution_count": 1, "id": "cbeba4ed-7c0c-44cf-80af-38e66215ebd9", "metadata": {}, "outputs": [], "source": [ "from FoamQuant import *\n", "import numpy as np\n", "import os\n", "import matplotlib.pyplot as plt; plt.rc('font', size=20) \n", "from tifffile import imread\n", "import pickle as pkl\n", "import pandas as pd" ] }, { "cell_type": "markdown", "id": "220cf32d-17c4-4cfb-aa46-4f66291610c7", "metadata": { "tags": [] }, "source": [ "## B) Quantification folders" ] }, { "cell_type": "code", "execution_count": 2, "id": "d2cdab91-3980-4643-b250-7dd7c4268e1e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "path already exist: Q1_LiqFrac_Glob\n", "path already exist: Q2_LiqFrac_Cartesian\n", "path already exist: Q3_Bubble_Prop\n" ] } ], "source": [ "# Processing folders names\n", "Quant_Folder = ['Q1_LiqFrac_Glob','Q2_LiqFrac_Cartesian','Q3_Bubble_Prop']\n", "\n", "# Create the quantification folders (where we are going to save our results)\n", "for Pi in Quant_Folder:\n", " if os.path.exists(Pi):\n", " print('path already exist:',Pi)\n", " else:\n", " print('Created folder:',Pi)\n", " os.mkdir(Pi)" ] }, { "cell_type": "markdown", "id": "372978c3-298c-4c90-9631-eefa44ff620e", "metadata": {}, "source": [ "## C) Get familiar with the input data" ] }, { "cell_type": "code", "execution_count": 3, "id": "0cb51b5a-4881-43dc-be94-1cacfffbd259", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The string index suffix: 001\n", "The full directory+name: P3_Cleaned/Cleaned_001.tiff\n" ] } ], "source": [ "# Name and directory of the speckle-cleaned images\n", "dircleaned = 'P3_Cleaned/'\n", "namecleaned = 'Cleaned_'\n", "\n", "# Read the first image of the series\n", "str_index = strindex(1, n0=3)\n", "print('The string index suffix: ', str_index)\n", "fullname = dircleaned+namecleaned+str_index+'.tiff'\n", "print('The full directory+name: ', fullname)\n", "\n", "FirstCleanIm = imread(fullname)" ] }, { "cell_type": "code", "execution_count": 4, "id": "2a35f1a4-d1b7-453f-908c-62767fec3a9d", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/gpfs/offline1/staff/tomograms/users/flosch/Rheometer_Jupyter/Jupy_FoamQuant/FoamQuant/Figure.py:90: UserWarning: The figure layout has changed to tight\n", " plt.tight_layout()\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Show a 3D-cut view of the volume\n", "Cut3D(FirstCleanIm, \n", " showcuts=True, # Shows the red, blue and green cuts.\n", " nameaxes=['z','y','x'], # Shows the name of the axes, here z,y,x.\n", " figblocksize=4,# This parrameter gives the size of the produced figure (here 4*3 along the horizontal, along the vertical).\n", " cmap='gray') # The default colormap used by this function is 'gray' but can be modified here." ] }, { "cell_type": "markdown", "id": "6441839c-44f0-475b-9046-10abc12d0fea", "metadata": {}, "source": [ "## D) Liquid fraction\n", "\n", "The liquid fraction is an essential parrameter when studying liquid foam. It is quantified from the phase-segmented images, as the number of liquid phase voxels divided by the total number of voxels inside a given volume:\n", "\n", "$\\phi_\\ell = \\frac{N_l}{N_l+N_g}$\n", "\n", "where $N_l$ and $N_g$ are the liquid and gas volumes respectively in number of voxels. \n", "\n", "**Full-image liquid fraction**\n", "\n", "Here we want to know how the full image liquid fraction evolves with time." ] }, { "cell_type": "code", "execution_count": 5, "id": "8f4b0f68-f3af-4ecd-97ed-bf4d551a920a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Path exist: True\n", "LiqFrac_Glob_001: done\n", "LiqFrac_Glob_002: done\n", "LiqFrac_Glob_003: done\n", "LiqFrac_Glob_004: done\n", "LiqFrac_Glob_005: done\n", "LiqFrac_Glob_006: done\n", "LiqFrac_Glob_007: done\n", "LiqFrac_Glob_008: done\n", "LiqFrac_Glob_009: done\n", "LiqFrac_Glob_010: done\n" ] } ], "source": [ "# Name and directory where we are going to save the global liquid fractions\n", "dir_lf_glob = 'Q1_LiqFrac_Glob/'\n", "name_lf_glob = 'LiqFrac_Glob_'\n", "\n", "# Indexes of the images of our time-series (we are working here with 10 subsequent images of the same foam sample, evolving over time).\n", "imrange = [1,2,3,4,5,6,7,8,9,10]\n", "\n", "# Liquid fraction function\n", "LiqFrac_Batch(namecleaned, \n", " name_lf_glob, \n", " dircleaned, \n", " dir_lf_glob, \n", " imrange, \n", " TypeGrid='Global', # <- a single value per image\n", " verbose=True, \n", " Masktype = [False, False])" ] }, { "cell_type": "code", "execution_count": 6, "id": "a865459b-f174-4fa3-8737-bea9c292a7d1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Global liquid fraction as a function of time:\n", " [0.14812106 0.14536508 0.14993783 0.14911722 0.14338045 0.14822921\n", " 0.14275831 0.14482527 0.14253219 0.14275472]\n" ] } ], "source": [ "# Read the global liquid fractions\n", "List_lf_Global = []\n", "for timei in imrange:\n", " with open(dir_lf_glob + name_lf_glob + strindex(timei, n0=3) + '.pkl','rb') as file:\n", " lf_Global = pkl.load(file)['lf']\n", " List_lf_Global.append(lf_Global)\n", "\n", "print('Global liquid fraction as a function of time:\\n', np.asarray(List_lf_Global))" ] }, { "cell_type": "markdown", "id": "22e982db-5c62-44f7-a44e-8e11f2f2e4d3", "metadata": {}, "source": [ "**Liquid fraction along a cartesian grid**\n", "\n", "Now we want to know how the liquid fraction is distributed in space. We are going to use the same function but indicate that we want a cartesian mesh output **TypeGrid='CartesMesh'**." ] }, { "cell_type": "code", "execution_count": 7, "id": "633c6e9c-e995-49aa-b7c7-2dac8a9b850c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Path exist: True\n", "LiqFrac_Cartesian_001: done\n", "LiqFrac_Cartesian_002: done\n", "LiqFrac_Cartesian_003: done\n", "LiqFrac_Cartesian_004: done\n", "LiqFrac_Cartesian_005: done\n", "LiqFrac_Cartesian_006: done\n", "LiqFrac_Cartesian_007: done\n", "LiqFrac_Cartesian_008: done\n", "LiqFrac_Cartesian_009: done\n", "LiqFrac_Cartesian_010: done\n" ] } ], "source": [ "# Name and directory where we are going to save the cartesian-grid liquid fractions\n", "dir_lf_car = 'Q2_LiqFrac_Cartesian/'\n", "name_lf_car = 'LiqFrac_Cartesian_'\n", "\n", "# Get liquid fraction in cartesian subvolumes\n", "# (volume percentage of liquid in each subvolumes)\n", "LiqFrac_Batch(namecleaned, \n", " name_lf_car, \n", " dircleaned, \n", " dir_lf_car, \n", " imrange, \n", " TypeGrid='CartesMesh', # <- a cartesian grid of liquid fractions\n", " Nz=5, # Indicates the number of boxes along z\n", " Ny=12, # ...along y\n", " Nx=8, # ...along x\n", " verbose=1,\n", " structured=True,\n", " Masktype = [False, False]) # <- can be turned on for cylindrical masking around the axis of rotation and in the perriphery" ] }, { "cell_type": "code", "execution_count": 8, "id": "20865d1b-4a3c-47ff-9e75-d0dee12055ca", "metadata": {}, "outputs": [], "source": [ "# Read all the Cartesian mesh liquid fractions\n", "List_lf_Car = []\n", "for timei in imrange:\n", " with open(dir_lf_car + name_lf_car + strindex(timei, n0=3) + '.pkl','rb') as file:\n", " lf_Car = pkl.load(file)['lf']\n", " List_lf_Car.append(lf_Car)" ] }, { "cell_type": "code", "execution_count": 9, "id": "2cdafb54-1275-4793-a990-0587add2147c", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(10, 5, 12, 8)" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Result shape: Number of images / Nz / Ny / Nx\n", "np.shape(List_lf_Car)" ] }, { "cell_type": "markdown", "id": "376630fe-be66-44cf-bea6-a14b26ca0882", "metadata": {}, "source": [ "We now gonna represent the liquid fraction field with the same figure tool that we used for observing our images: **Cut3D**." ] }, { "cell_type": "code", "execution_count": 10, "id": "3a966138-b373-4b4b-86df-85c5e8fceb0e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "vmin = 0.1 vmax = 0.2\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Orthogonal cut view of the liquid fraction field obtained from the first image of the series \n", "fig,ax,neg = Cut3D(List_lf_Car[0],\n", " nameaxes=['z','y','x'],\n", " cmap='Blues',\n", " vmin=0.10,\n", " vmax=0.20,\n", " returnfig=True,\n", " figblocksize=4)\n", "fig.colorbar(neg[2], label=r'$\\phi_l$')" ] }, { "cell_type": "markdown", "id": "f5eacc67-9d55-4822-a580-055abad8cf5d", "metadata": {}, "source": [ "The orthogonal cuts can be seen with **Cut3D**. The orthogonal projection view can be seen with **Proj3D**. The projections are averages." ] }, { "cell_type": "code", "execution_count": 11, "id": "b186e4c1-42fa-48e6-ab58-e3d8edb7e127", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "vmin = 0.1 vmax = 0.2\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/gpfs/offline1/staff/tomograms/users/flosch/Rheometer_Jupyter/Jupy_FoamQuant/FoamQuant/Figure.py:160: UserWarning: The figure layout has changed to tight\n", " plt.tight_layout()\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Orthogonal projection view of the time-averaged liquid fraction field\n", "lf_time_average = np.mean(List_lf_Car,0)\n", "fig,ax,neg = Proj3D(lf_time_average,\n", " nameaxes=['z','y','x'],\n", " cmap='Blues',\n", " vmin=0.10,\n", " vmax=0.20,\n", " returnfig=True,\n", " figblocksize=4)\n", "fig.colorbar(neg[2], label=r'$\\phi_l$')" ] }, { "cell_type": "markdown", "id": "93bb38f0-aab0-4b0c-b7aa-8720c3b135b7", "metadata": {}, "source": [ "## E) Get familiar with the input data" ] }, { "cell_type": "markdown", "id": "7f48c329-df6f-4145-b9af-b9e130cce06a", "metadata": {}, "source": [ "Let's read the first bubble-segmented image of the series (with no bubble on the edges). " ] }, { "cell_type": "code", "execution_count": 12, "id": "eb74ddaf-78eb-48be-b43b-ef09e69f60eb", "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Name and directory where the bubble segmented images are saved\n", "dirnoedge = 'P5_BubbleNoEdge/'\n", "namenoedge = 'BubbleNoEdge_'\n", "\n", "# Read the first image of the series\n", "Lab = imread(dirnoedge+namenoedge+strindex(1, 3)+'.tiff')\n", "\n", "# Since we are now looking at more bubbles let's create a \"larger\" random colormap: here 500 random colors\n", "rcmap = RandomCmap(500, verbose=False)\n", "\n", "# Show a 3D-cut view of the volume\n", "Cut3D(Lab, \n", " nameaxes=['z','y','x'],\n", " cmap=rcmap, \n", " interpolation='nearest', \n", " figblocksize=4)" ] }, { "cell_type": "markdown", "id": "063d49ec-cc24-4c46-aaab-34521da25b50", "metadata": {}, "source": [ "## F) Individual bubble properties (RegProps)\n", "We want here to extract from each bubble region, its equivalent radius. To do so we are going to use the **RegionProp_Batch** function. It is essentially a wrapped of **regionprops** from scikit-image." ] }, { "cell_type": "code", "execution_count": 13, "id": "001c4b91-e8f1-482a-833c-d01dd978d973", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Path exist: True\n", "Bubble_Prop_001: done\n", "Bubble_Prop_002: done\n", "Bubble_Prop_003: done\n", "Bubble_Prop_004: done\n", "Bubble_Prop_005: done\n", "Bubble_Prop_006: done\n", "Bubble_Prop_007: done\n", "Bubble_Prop_008: done\n", "Bubble_Prop_009: done\n", "Bubble_Prop_010: done\n" ] } ], "source": [ "# Name and directory where we are going to save the bubble region properties\n", "dir_Bubble_prop = 'Q3_Bubble_Prop/'\n", "name_Bubble_prop = 'Bubble_Prop_'\n", "\n", "RegionProp_Batch(namenoedge,\n", " name_Bubble_prop,\n", " dirnoedge,\n", " dir_Bubble_prop,\n", " imrange,\n", " verbose=True,\n", " endread='.tiff', \n", " endsave='.tsv')" ] }, { "cell_type": "markdown", "id": "d392b847-3e3c-48b5-9278-c62175435114", "metadata": {}, "source": [ "## G) Equivalent radius\n", "Let's open the first saved bubble-properties table with **pandas**." ] }, { "cell_type": "code", "execution_count": 14, "id": "742495bd-45c7-4ccc-8118-27e692c2a316", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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939940234.464956224.364352219.3932509274.013.0334532143.4885200.9983089307.91992412.256650...12.866831-0.0050620.036705-0.00506213.650618-0.0626680.0174930.0451750.0970101
940941234.79970724.50299072.8341278193.012.5059911977.5942880.9990198257.34172711.949345...12.9121000.1362150.3142780.13621512.591211-0.0481390.0149130.0332260.0739291
\n", "

941 rows × 26 columns

\n", "
" ], "text/plain": [ " lab z y x vol rad area \\\n", "0 1 15.286670 79.575571 183.687352 7622.0 12.208438 1889.990904 \n", "1 2 16.593385 130.636373 17.162980 9584.0 13.177087 2204.247246 \n", "2 3 15.635897 172.321484 101.120593 10324.0 13.507857 2309.744140 \n", "3 4 15.538057 175.370390 217.745069 9328.0 13.058701 2154.914928 \n", "4 5 15.121800 200.194312 163.705468 10936.0 13.769663 2403.553261 \n", ".. ... ... ... ... ... ... ... \n", "936 937 232.931714 209.884521 86.382444 9387.0 13.086175 2168.907873 \n", "937 938 234.656031 34.253836 50.915761 9841.0 13.293833 2235.291662 \n", "938 939 234.123875 156.617150 218.298716 9889.0 13.315411 2238.448309 \n", "939 940 234.464956 224.364352 219.393250 9274.0 13.033453 2143.488520 \n", "940 941 234.799707 24.502990 72.834127 8193.0 12.505991 1977.594288 \n", "\n", " sph volfit S1 ... e2y e2x e3z \\\n", "0 0.997457 7696.702997 11.356878 ... 12.123131 0.558382 -0.565461 \n", "1 0.996115 9674.503042 12.035502 ... 12.727413 -0.753596 -0.022763 \n", "2 0.997574 10400.092065 12.805426 ... 13.886619 -0.036291 -0.224959 \n", "3 0.997516 9371.282698 12.381921 ... 12.635434 -0.351062 0.549606 \n", "4 0.997433 11037.743266 13.050254 ... 14.409886 0.621144 -0.254747 \n", ".. ... ... ... ... ... ... ... \n", "936 0.998400 9475.291923 12.489027 ... 13.894511 -0.170001 -0.174207 \n", "937 0.997166 9895.232739 12.680207 ... 12.997291 -0.130880 -0.529484 \n", "938 0.998684 9938.866176 12.619337 ... 13.528568 -0.152264 0.059711 \n", "939 0.998308 9307.919924 12.256650 ... 12.866831 -0.005062 0.036705 \n", "940 0.999019 8257.341727 11.949345 ... 12.912100 0.136215 0.314278 \n", "\n", " e3y e3x U1 U2 U3 U type \n", "0 0.558382 12.288122 -0.075555 0.016856 0.058699 0.118985 1 \n", "1 -0.753596 12.968875 -0.093752 0.022430 0.071322 0.146864 1 \n", "2 -0.036291 13.241960 -0.055850 -0.019896 0.075747 0.117809 -1 \n", "3 -0.351062 12.901907 -0.054760 -0.022566 0.077326 0.119294 -1 \n", "4 0.621144 13.336950 -0.056747 -0.021472 0.078219 0.121240 -1 \n", ".. ... ... ... ... ... ... ... \n", "936 -0.170001 12.962521 -0.049827 -0.009192 0.059018 0.095265 -1 \n", "937 -0.130880 12.878073 -0.049090 -0.035787 0.084877 0.127836 -1 \n", "938 -0.152264 13.724473 -0.055368 0.015737 0.039632 0.085592 1 \n", "939 -0.005062 13.650618 -0.062668 0.017493 0.045175 0.097010 1 \n", "940 0.136215 12.591211 -0.048139 0.014913 0.033226 0.073929 1 \n", "\n", "[941 rows x 26 columns]" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df = pd.read_csv(dir_Bubble_prop+name_Bubble_prop+strindex(1,n0=3)+'.tsv',sep = '\\t')\n", "display(df)" ] }, { "cell_type": "markdown", "id": "b2c6623b-e8d5-4d9b-8d94-d615bdbbe501", "metadata": {}, "source": [ "Now we can plot, for example, the bubble equivalent radius distribution, the mean radius and Sauter radius." ] }, { "cell_type": "code", "execution_count": 33, "id": "89647d2a-d3e2-46b6-9994-f7cfcc4f2153", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Equivalent radius distribution\n", "df['rad'].hist(bins=np.linspace(11,15,30), alpha=0.4)\n", "\n", "#Mean radius\n", "Rmean = np.mean(df['rad'])\n", "plt.plot([Rmean,Rmean],[0,125],'r-', label=r'$R_{mean}$')\n", "#Mean Sauter radius\n", "R32 = np.sum(np.power(df['rad'],3))/np.sum(np.power(df['rad'],2))\n", "plt.plot([R32,R32],[0,125],'b-', label=r'$R_{32}$')\n", "\n", "plt.xlabel(r'$R_{eq} (pix)$')\n", "plt.ylabel('N')\n", "plt.legend()" ] }, { "cell_type": "markdown", "id": "c08c0e64-bd25-4f05-8ae1-586186345810", "metadata": {}, "source": [ "You have now completed this tutorial. I hope it has been helpfull to you. Go back to [FoamQuant - Examples](https://foamquant.readthedocs.io/en/latest/examples.html) for more examples and tutorials." ] } ], "metadata": { "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": "3.12.8" }, "toc-autonumbering": false, "toc-showcode": true, "toc-showmarkdowntxt": false }, "nbformat": 4, "nbformat_minor": 5 }