{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Tutorial: Computing with shapes of landmarks in Kendall shape spaces"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In this tutorial, we show how to use geomstats to perform a shape data analysis. Specifically, we aim to study the difference between two groups of data:\n",
"- optical nerve heads that correspond to normal eyes,\n",
"- optical nerve heads that correspond to glaucoma eyes.\n",
"\n",
"We wish to investigate if there is a difference in these two groups, and if this difference is a difference in sizes of the optical nerve heads, or a difference in shapes (where the size has been quotiented out)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Set up"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import os\n",
"import sys\n",
"import warnings\n",
"\n",
"sys.path.append(os.path.dirname(os.getcwd()))\n",
"warnings.filterwarnings('ignore')"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"INFO: Using numpy backend\n"
]
}
],
"source": [
"%matplotlib inline\n",
"import matplotlib.colors as colors\n",
"import matplotlib.patches as mpatches\n",
"import matplotlib.pyplot as plt\n",
"from mpl_toolkits.mplot3d import Axes3D\n",
"from mpl_toolkits.mplot3d.art3d import Poly3DCollection\n",
"\n",
"import geomstats.backend as gs\n",
"import geomstats.datasets.utils as data_utils\n",
"from geomstats.geometry.pre_shape import PreShapeSpace, KendallShapeMetric"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We import the dataset of the optical nerve heads from 22 images of Rhesus monkeys’ eyes (11 monkeys), available in [[PE2015]](#References). \n",
"\n",
"For each monkey, an experimental glaucoma was introduced in one eye, while the second\n",
"eye was kept as control. One seeks to observe differences between the glaucoma and the\n",
"control eyes. On each image, 5 anatomical landmarks were recorded: \n",
"- 1st landmark: superior aspect of the retina, \n",
"- 2nd landmark: side of the retina closest to the temporal bone of the skull,\n",
"- 3rd landmark: nose side of the retina, \n",
"- 4th landmark: inferior point,\n",
"- 5th landmark: optical nerve head deepest point.\n",
"\n",
"Label 0 refers to a normal eye, and Label 1 to an eye with glaucoma."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(22, 5, 3)\n",
"[0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1]\n",
"[ 0 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10]\n"
]
}
],
"source": [
"nerves, labels, monkeys = data_utils.load_optical_nerves()\n",
"print(nerves.shape)\n",
"print(labels)\n",
"print(monkeys)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We extract the landmarks' sets corresponding to the two eyes' nerves of the first monkey, with their corresponding labels."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(2, 5, 3)\n",
"[0 1]\n"
]
}
],
"source": [
"two_nerves = nerves[monkeys==0]\n",
"print(two_nerves.shape)\n",
"\n",
"two_labels = labels[monkeys==0]\n",
"print(two_labels)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"tags": [
"nbsphinx-thumbnail"
]
},
"outputs": [
{
"data": {
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\n",
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