{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Classifying hands poses with Kendall shape spaces"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Lead author: Nina Miolane.\n",
"\n",
"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",
"- hand poses that correspond to the action \"Grab\",\n",
"- hand poses heads that correspond to the action \"Expand\".\n",
"\n",
"We wish to investigate if there is a difference in these two groups.\n",
"\n",
"\n",
"The hand poses are represented as the coordinates of 22 joints in 3D:"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
""
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"INFO: Using numpy backend\n"
]
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"import geomstats.visualization as visualization\n",
"import geomstats.backend as gs\n",
"import geomstats.datasets.utils as data_utils\n",
"from geomstats.geometry.pre_shape import PreShapeSpace"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Hands shapes"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Load the dataset of hand poses, where a hand is represented as a \n",
"set of 22 landmarks - the hands joints - in 3D.\n",
"\n",
"The hand poses represent two different hand poses:\n",
"- Label 0: hand is in the position \"Grab\"\n",
"- Label 1: hand is in the position \"Expand\"\n",
"\n",
"This is a subset of the SHREC 2017 dataset [[SWVGLF2017]](#References)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We load the dataset of landmarks' sets and corresponding labels."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"hands, labels, bone_list = data_utils.load_hands()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(52, 22, 3)\n",
"[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1\n",
" 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1]\n"
]
}
],
"source": [
"print(hands.shape)\n",
"print(labels)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We extract two hands, one corresponding to the \"Grab\" pose, and the other to the \"Expand\" pose."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"label_to_str = {0: \"Grab\", 1: \"Expand\"}\n",
"label_to_color = {\n",
" 0: (102 / 255, 178 / 255, 255 / 255, 1.0),\n",
" 1: (255 / 255, 178 / 255, 102 / 255, 1.0),\n",
"}\n",
"first_grab_hand = hands[labels == 0][0]\n",
"first_expand_hand = hands[labels == 1][0]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We implement a function to plot one hand in 3D."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"def plot_hand(hand, bone_list):\n",
" fig = plt.figure()\n",
" ax = plt.axes(projection=\"3d\")\n",
"\n",
" x = hand[:, 0]\n",
" y = hand[:, 1]\n",
" z = hand[:, 2]\n",
"\n",
" sc = ax.scatter(x, y, z, s=40)\n",
" for bone in bone_list:\n",
" start_bone_idx = bone[0]\n",
" end_bone_idx = bone[1]\n",
" ax.plot(\n",
" xs=[x[start_bone_idx], x[end_bone_idx]],\n",
" ys=[y[start_bone_idx], y[end_bone_idx]],\n",
" zs=[z[start_bone_idx], z[end_bone_idx]],\n",
" )"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We plot two examples of hands."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
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",
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