{
"cells": [
{
"cell_type": "markdown",
"id": "23bd9d9b",
"metadata": {},
"source": [
"# ECT on Matisse's \"The Parakeet and the Mermaid\" \n",
"\n",
"Here, we are going to give an example of using the ECT to classify the cutout shapes from Henri Matisse's 1952 [\"The Parakeet and the Mermaid\"](https://www.moma.org/audio/playlist/6/312). \n",
"\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "b73a120d",
"metadata": {},
"outputs": [],
"source": [
"#-----------------\n",
"# Standard imports \n",
"#-----------------\n",
"import numpy as np # for arrays\n",
"import matplotlib.pyplot as plt # for plotting\n",
"from sklearn.decomposition import PCA # for PCA for normalization\n",
"from scipy.spatial import distance_matrix\n",
"\n",
"from os import listdir # for retrieving files from directory\n",
"from os.path import isfile, join # for retrieving files from directory\n",
"from sklearn.manifold import MDS # for MDS\n",
"import pandas as pd # for loading in colors csv\n",
"\n",
"#---------------------------\n",
"# The ECT packages we'll use\n",
"#---------------------------\n",
"from ect import ECT, EmbeddedGraph # for calculating ECTs\n"
]
},
{
"cell_type": "markdown",
"id": "c149a147",
"metadata": {},
"source": [
"We've taken care of the preprocessing in advance by extracting out the shapes from the image. You can download these outlines here: [outlines.zip](outlines.zip).\n",
"\n",
"
"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "f7b7fe4c",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"There are 150 files in the directory\n"
]
}
],
"source": [
"data_dir = \"doc_source/notebooks/Matisse/outlines/\" # set data directory\n",
"file_names = [f for f in listdir(data_dir) if isfile(join(data_dir, f)) and f[-4:] == '.txt'] # create a list of file names\n",
"file_names.sort() # sort the list of file names\n",
"print(f\"There are {len(file_names)} files in the directory\") # print number of files"
]
},
{
"cell_type": "markdown",
"id": "6b082bf2",
"metadata": {},
"source": [
"Here we have an example of one of these leaves loaded in as an `EmbeddedGraph` class."
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "3cb77aa4",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"i = 3\n",
"shape = np.loadtxt(data_dir + file_names[i])\n",
"# shape = normalize(shape)\n",
"G = EmbeddedGraph()\n",
"G.add_cycle(shape)\n",
"G.plot(with_labels = False, node_size = 10)"
]
},
{
"cell_type": "markdown",
"id": "aef7ef04",
"metadata": {},
"source": [
"We're going to align the leaf using the PCA coordinates, min-max center, and scale it to fit in a ball of radius 1 for ease of comparisons. "
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "3d930346",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"G.set_PCA_coordinates( center_type='min_max', scale_radius=1)\n",
"G.plot(with_labels = False, node_size = 10, bounding_circle=True)"
]
},
{
"cell_type": "markdown",
"id": "49bc6a0c",
"metadata": {},
"source": [
"And then we can compute the ECT of this leaf. "
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "e0e07987",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"num_dirs=50 # set number of directional axes\n",
"num_thresh=50 # set number of thresholds each axis\n",
"\n",
"myect = ECT(num_dirs = num_dirs, num_thresh=num_thresh) # intiate ECT\n",
"myect.set_bounding_radius(1) # set bounding radius\n",
"myect.calculateECT(G) # calculate ECT on embedded graph\n",
"\n",
"myect.plotECT() # plot ECT\n"
]
},
{
"cell_type": "markdown",
"id": "ebc64b1d",
"metadata": {},
"source": [
"Let's just make a data loader with all of this for ease in a bit. "
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "dcf72cc4",
"metadata": {},
"outputs": [],
"source": [
"def matisse_ect(filename, num_dirs, num_thresh):\n",
" shape = np.loadtxt(data_dir + filename)\n",
" G = EmbeddedGraph()\n",
" G.add_cycle(shape)\n",
" G.set_PCA_coordinates( center_type='min_max', scale_radius=1)\n",
" myect = ECT(num_dirs = num_dirs, num_thresh=num_thresh) \n",
" myect.set_bounding_radius(1) \n",
" M = myect.calculateECT(G) \n",
" return M"
]
},
{
"cell_type": "markdown",
"id": "91cb74c1",
"metadata": {},
"source": [
"And now we can load in all the outlines, compute their ECT and store it in a 3D array. "
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "2dfe86ec",
"metadata": {},
"outputs": [],
"source": [
"num_dirs=50 # set number of directional axes\n",
"num_thresh=50 # set number of thresholds each axis\n",
"\n",
"ect_arr = np.zeros((len(file_names),num_dirs,num_thresh))\n",
"for i in range(len(file_names)): # for each leaf\n",
" ect_arr[i,:,:] = matisse_ect(file_names[i], num_dirs, num_thresh)"
]
},
{
"cell_type": "markdown",
"id": "7be2f273",
"metadata": {},
"source": [
"Here, we are just going to compute the distance between two ECTs using $L_2$ distance. "
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "e1efac55",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"flattened_ect = ect_arr.reshape(len(file_names), num_dirs*num_thresh)\n",
"D = distance_matrix(flattened_ect, flattened_ect)\n",
"plt.matshow(D)"
]
},
{
"cell_type": "markdown",
"id": "ce93bb3f",
"metadata": {},
"source": [
"For visualization purposes, we can project this data into 2D using Multi Dimensional Scaling (MDS). Here we plot each figure at the MDS coordinates. "
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "0984d176",
"metadata": {},
"outputs": [],
"source": [
"n_components = 2 # select number of components\n",
"mds = MDS(n_components=n_components, # initialize MDS\n",
" dissimilarity=\"precomputed\", # we have precomputed the distance matrix\n",
" normalized_stress='auto',\n",
" random_state=5 # select random state for reproducibility\n",
" )\n",
"MDS_scores = mds.fit_transform(D) # get MDS scores"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "551aa2fd",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, \"MDS of Matisse's Leaves via ECT distances\")"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# read in color hexcodes\n",
"col_df = pd.read_csv(\"doc_source/notebooks/Matisse/colors.csv\", header=None) \n",
"\n",
"scale_val = 6 # set scale value\n",
"plt.figure(figsize=(5,5)) # set figure dimensions\n",
"\n",
"for i in range(len(file_names)): # for each leaf\n",
" shape = np.loadtxt(data_dir+file_names[i]) # get the current shape\n",
" shape = shape - np.mean(shape, axis=0) # zero center shape\n",
" shape = scale_val * shape / max(np.linalg.norm(shape, axis = 1)) # scale to radius 1 then mult by scale_val\n",
"\n",
" trans_sh = (shape + MDS_scores[i]) # translate shape to MDS position\n",
"\n",
" plt.fill(trans_sh[:,0], trans_sh[:,1], c=col_df[0][i], lw=0) # plot shape\n",
" plt.gca().set_aspect(\"equal\")\n",
"\n",
"plt.title(\"MDS of Matisse's Leaves via ECT distances\")\n",
"# plt.savefig(\"Matisse_MDS.png\", bbox_inches = 'tight', dpi=300) "
]
},
{
"cell_type": "markdown",
"id": "b3c3d0e7",
"metadata": {},
"source": [
"## Acknowledgements\n",
"\n",
"This notebook was written by [Liz Munch](https://elizabethmunch.com/) based on [original code](https://github.com/DanChitwood/matisse_test) from [Dan Chitwood](https://www.canr.msu.edu/people/dr_dan_chitwood). "
]
}
],
"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": "3.11.7"
}
},
"nbformat": 4,
"nbformat_minor": 5
}