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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3D Layer Surface Segmentation "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Add Proper references here**"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**NOTICE:** This notebook is a continuation of layered surface detection introduced in the ```LayerSegmentation2D.ipynb``` notebook.\n",
"\n",
"Previously we segmented 2D images, but the ```MaxflowBuilder``` module actually supports N-D data. If ```data``` is a 3D ```ndarray``` the code still works 'as is'. The surfaces are always found on the first axis of the input data."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"# Load modules\n",
"import os\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from skimage.io import imread\n",
"from qimtools import visualization, inspection, io\n",
"from slgbuilder import GraphObject,MaxflowBuilder"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"in_dir = 'data/'\n",
"Vol_path = os.path.join(in_dir, 'layer3D.tiff')\n",
"\n",
"# Load the data\n",
"vol = io.Volume( Vol_path )"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(164, 200, 8)\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Convert the stack of 2D slices to a 3D volume\n",
"vol = vol.concatenate().astype(np.int32)\n",
"vol = np.transpose(vol,(1,2,0)) # Re-order volume\n",
"print(vol.shape)\n",
"\n",
"f,ax = plt.subplots()\n",
"ax.imshow(vol[..., 2], cmap='gray')\n",
"ax.set_title('Slice 2')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Like previously we want two segmentations in each slice of the volume."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"layers = []\n",
"for i in range(2):\n",
" layers.append(GraphObject(255-vol))"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"helper = MaxflowBuilder()\n",
"helper.add_objects(layers)\n",
"helper.add_layered_boundary_cost()\n",
"helper.add_layered_smoothness() \n",
"\n",
"for i in range(len(layers)-1):\n",
" helper.add_layered_containment(layers[i], layers[i+1], min_margin=10)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Maximum flow/minimum energy: 1386559\n"
]
}
],
"source": [
"flow = helper.solve()\n",
"print('Maximum flow/minimum energy:', flow)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"segmentations = [helper.what_segments(l).astype(np.int32) for l in layers]\n",
"segmentation_lines = [np.argmin(s[..., 2], axis=0) for s in segmentations]"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x720 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sliceNo = 4\n",
"\n",
"f,ax = plt.subplots(1,3,figsize=(10,10))\n",
"ax[0].imshow(vol[..., 2], cmap='gray')\n",
"ax[0].set_title(f'Slice {sliceNo}')\n",
"ax[1].imshow(np.sum(segmentations, axis=0)[..., 2])\n",
"ax[1].set_title(f'Slice {sliceNo}')\n",
"ax[2].imshow(vol[..., 2], cmap='gray')\n",
"for line in segmentation_lines:\n",
" ax[2].plot(line)\n",
"ax[2].set_title(f'Slice {sliceNo}')\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.7.4"
}
},
"nbformat": 4,
"nbformat_minor": 4
}