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EtaInterpolation/Examples/etaInterpolation_MC.ipynb

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{
"cells": [
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"from glob import glob\n",
"from matplotlib import pyplot as plt\n",
"from EtaInterpolationFunctions import *\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## A simple example\n",
"Mapping a 2D distribution to a uniform distribution using different interpolation methods.\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Original x: mean=0.481, std=0.172\n",
"Original y: mean=0.522, std=0.174\n"
]
},
{
"data": {
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",
"text/plain": [
"<Figure size 1500x500 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"rng = np.random.default_rng(42)\n",
"n = 10_000_000 # number of samples\n",
"\n",
"# non-uniform 2D distribution: spiral with noise\n",
"theta = rng.uniform(0, 4*np.pi, size=n)\n",
"r = 0.3 + 0.4 * (theta / (4*np.pi)) # 螺旋半径从 0.3 到 0.7\n",
"x_raw = r * np.cos(theta) + 0.1 * rng.normal(size=n)\n",
"y_raw = r * np.sin(theta) + 0.1 * rng.normal(size=n)\n",
"\n",
"# normalize to [0, 1]\n",
"x = (x_raw - x_raw.min()) / (x_raw.max() - x_raw.min())\n",
"y = (y_raw - y_raw.min()) / (y_raw.max() - y_raw.min())\n",
"\n",
"# build 2D histogram\n",
"nBins = 80\n",
"H, _, _ = np.histogram2d(x, y, bins=nBins, range=[[0,1],[0,1]])\n",
"H = H.astype(int)\n",
"\n",
"# build LUT\n",
"X_tab, Y_tab = build_xy_lut_Rosenblatt(H)\n",
"u, v = bilinear_xy_lookup(x, y, X_tab, Y_tab)\n",
"H_uv = np.histogram2d(u, v, bins=nBins, range=[[0,1],[0,1]])[0]\n",
"X_tab2, Y_tab2 = build_xy_lut_DoubleCDF(H)\n",
"u2, v2 = bilinear_xy_lookup(x, y, X_tab2, Y_tab2)\n",
"H_uv2 = np.histogram2d(u2, v2, bins=nBins, range=[[0,1],[0,1]])[0]\n",
"\n",
"# map to (u, v)\n",
"u, v = bilinear_xy_lookup(x, y, X_tab, Y_tab)\n",
"\n",
"# Visualization\n",
"fig, axs = plt.subplots(1, 3, figsize=(15, 5))\n",
"\n",
"axs[0].imshow(H.T, origin='lower', extent=[0,1,0,1])\n",
"axs[0].set_title(\"Original (x, y)\")\n",
"axs[0].set_aspect('equal')\n",
"\n",
"axs[1].imshow(H_uv.T, origin='lower', extent=[0,1,0,1])\n",
"axs[1].set_title(\"Rosenblatt (u, v)\")\n",
"\n",
"axs[2].imshow(H_uv2.T, origin='lower', extent=[0,1,0,1])\n",
"axs[2].set_title(\"Double CDF (u, v)\")\n",
"axs[2].set_aspect('equal')\n",
"axs[2].set_xlim(0,1); axs[2].set_ylim(0,1)\n",
"\n",
"\n",
"\n",
"plt.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Generation of eta interpolation lookup tables"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"sum events = 10000000\n",
"mean etaX: 0.5000\n",
"mean etaY: 0.5001\n",
"nonuniformity = 976.0355\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 800x400 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"### generate qc2d histogram for lookup table generation\n",
"nBins = 101\n",
"sampleFileList = glob('/mnt/sls_det_storage/moench_data/MLXID/Samples/15keV_Moench040_150V_*.npz')\n",
"eta_2dhist = np.zeros((nBins, nBins), dtype=int)\n",
"for sampleFile in sampleFileList:\n",
" samples = np.load(sampleFile)['samples'][:, 1:-1, 1:-1]\n",
" # noises = np.random.normal(0, 0.3, samples.shape)\n",
" # samples += noises\n",
" sum = np.sum(samples, axis=(1,2))\n",
" eta_xs = np.sum(samples[:, :, :], axis=1) ### integrate along y axis\n",
" eta_xs *= np.arange(-1, 2) + 0.5\n",
" eta_xs = np.sum(eta_xs, axis=1)/sum\n",
" \n",
" eta_ys = np.sum(samples[:, :, :], axis=2) ### integrate along x axis\n",
" eta_ys *= np.arange(-1, 2) + 0.5\n",
" eta_ys = np.sum(eta_ys, axis=1)/sum\n",
"\n",
" np.add.at(eta_2dhist, (np.clip((eta_xs*nBins).astype(int), 0, nBins - 1), np.clip((eta_ys*nBins).astype(int), 0, nBins - 1)), 1)\n",
"print(f'sum events = {np.sum(eta_2dhist)}')\n",
"averageEtaX = np.sum(np.arange(nBins)*np.sum(eta_2dhist, axis=1))/np.sum(eta_2dhist)/nBins + 1/nBins/2 ### add half bin shift\n",
"averageEtaY = np.sum(np.arange(nBins)*np.sum(eta_2dhist, axis=0))/np.sum(eta_2dhist)/nBins + 1/nBins/2 ### add half bin shift\n",
"print(f'mean etaX: {averageEtaX:.4f}')\n",
"print(f'mean etaY: {averageEtaY:.4f}')\n",
"\n",
"nonuniformity = np.sqrt(np.mean((eta_2dhist - np.mean(eta_2dhist))**2))\n",
"print(f'nonuniformity = {nonuniformity:.4f}')\n",
"\n",
"### plot qc2d histogram in a log scale\n",
"plt.imshow(np.log1p(eta_2dhist+1), origin='lower')\n",
"plt.colorbar(label='log(count+1)')\n",
"### project along x and y axis\n",
"plt.figure(figsize=(8,4))\n",
"plt.subplot(1,2,1)\n",
"plt.plot(np.arange(nBins)/nBins, np.sum(eta_2dhist, axis=1))\n",
"plt.xlabel('x')\n",
"plt.ylabel('count')\n",
"plt.subplot(1,2,2)\n",
"plt.plot(np.arange(nBins)/nBins, np.sum(eta_2dhist, axis=0))\n",
"plt.xlabel('y')\n",
"plt.ylabel('count')\n",
"plt.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 800x400 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"### build xy lookup table and plot\n",
"X_tab, Y_tab = build_xy_lut_Rosenblatt(eta_2dhist)\n",
"plt.figure(figsize=(8,4))\n",
"plt.subplot(1,2,1)\n",
"plt.imshow(X_tab, origin='lower', extent=(0,1,0,1))\n",
"plt.xlabel('eta_x')\n",
"plt.ylabel('eta_y')\n",
"plt.colorbar(label='X_tab')\n",
"plt.subplot(1,2,2)\n",
"plt.imshow(Y_tab, origin='lower', extent=(0,1,0,1))\n",
"plt.xlabel('eta_x')\n",
"plt.ylabel('eta_y')\n",
"plt.colorbar(label='Y_tab')\n",
"plt.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Interpolate using uv lookup table\n",
"1. Save the residuals of x and y"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"sum events = 10000000.0\n",
"nonuniformity = 610.3487\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"### interpolate using uv lookup table\n",
"sampleFileList = glob('/mnt/sls_det_storage/moench_data/MLXID/Samples/15keV_Moench040_150V_*.npz')\n",
"interpolated_2d = np.zeros((nBins, nBins), dtype=float)\n",
"residuls_x = []\n",
"residuls_y = []\n",
"x, y, z = [], [], []\n",
"\n",
"for idx, sampleFile in enumerate(sampleFileList):\n",
" samples = np.load(sampleFile)['samples'][:, 1:-1, 1:-1]\n",
" labels = np.load(sampleFile)['labels']\n",
" xs, ys = labels[:, 0], labels[:, 1]\n",
" x.extend(labels[:, 0])\n",
" y.extend(labels[:, 1])\n",
" z.extend(labels[:, 2])\n",
"\n",
" # noises = np.random.normal(0, 0.3, samples.shape)\n",
" # samples += noises\n",
" sum = np.sum(samples, axis=(1,2))\n",
" eta_xs = np.sum(samples, axis=1) ### integrate along y axis\n",
" eta_xs *= np.arange(-1, 2)\n",
" eta_xs = np.sum(eta_xs, axis=-1)/sum + 0.5\n",
" \n",
" eta_ys = np.sum(samples, axis=2) ### integrate along x axis\n",
" eta_ys *= np.arange(-1, 2)\n",
" eta_ys = np.sum(eta_ys, axis=-1)/sum + 0.5\n",
"\n",
" x_interp, y_interp = bilinear_xy_lookup(eta_xs, eta_ys, X_tab, Y_tab)\n",
" # x_interp, y_interp = xy_lookup(eta_xs, eta_ys, X_tab, Y_tab)\n",
"\n",
" np.add.at(interpolated_2d, (np.clip((x_interp*nBins).astype(int), 0, nBins - 1), np.clip((y_interp*nBins).astype(int), 0, nBins - 1)), 1)\n",
"\n",
" residuls_x.extend(x_interp - (xs-2))\n",
" residuls_y.extend(y_interp - (ys-2))\n",
" # print(u)\n",
" # print(xs-2)\n",
"print(f'sum events = {np.sum(interpolated_2d)}')\n",
"plt.imshow(np.log1p(interpolated_2d), origin='lower', extent=(0,1,0,1))\n",
"plt.xlabel('x_interp')\n",
"plt.ylabel('y_interp')\n",
"plt.colorbar(label='log(count+1)')\n",
"\n",
"nonuniformity = np.sqrt(np.mean((interpolated_2d - np.mean(interpolated_2d))**2))\n",
"print(f'nonuniformity = {nonuniformity:.4f}')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Check further interpolation results\n",
"1. Residuals: 1D distributions, and RMS vs absortion depth (z)\n",
"2. Distribution of spatial resoltuion in 5*5 subpixel array\n",
"3. Plot one simulation sample"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 800x400 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"### plot residul_x and histogram\n",
"plt.figure(figsize=(8,4))\n",
"plt.subplot(1,2,1)\n",
"### residual_x histogram\n",
"plt.hist(residuls_x, bins=np.linspace(-.5, .5, 100))\n",
"plt.xlabel('residual x')\n",
"plt.ylabel('density')\n",
"### print mean and std on the plot\n",
"mean_x = np.mean(residuls_x)\n",
"std_x = np.std(residuls_x)\n",
"### title: Eta interpolation\n",
"plt.title('Eta interpolation residuals')\n",
"plt.text(0.05, 0.9, f'mean: {mean_x:.3f}\\nstd: {std_x:.3f}', transform=plt.gca().transAxes, fontsize=12,\n",
" verticalalignment='top', bbox=dict(boxstyle='round', facecolor='white', alpha=0.8))\n",
"plt.subplot(1,2,2)\n",
"### residual_y histogram\n",
"plt.hist(residuls_y, bins=np.linspace(-.5, .5, 100))\n",
"plt.xlabel('residual y')\n",
"plt.ylabel('density')\n",
"### print mean and std on the plot\n",
"mean_y = np.mean(residuls_y)\n",
"std_y = np.std(residuls_y)\n",
"### title: Eta interpolation\n",
"plt.title('Eta interpolation residuals')\n",
"plt.text(0.05, 0.9, f'mean: {mean_y:.3f}\\nstd: {std_y:.3f}', transform=plt.gca().transAxes, fontsize=12,\n",
" verticalalignment='top', bbox=dict(boxstyle='round', facecolor='white', alpha=0.8))\n",
"plt.tight_layout()\n",
"plt.show()\n",
"\n",
"\n",
"### residuls x categorized by z\n",
"zBinWidth = 50 ### um\n",
"zBinCenters = np.arange(0, 650, zBinWidth) + zBinWidth/2\n",
"residul_x = []\n",
"residul_y = []\n",
"for zBin in range(0, 650, zBinWidth):\n",
" zMask = (np.array(z) >= zBin) & (np.array(z) < zBin + zBinWidth)\n",
" residuls_x_z = np.array(residuls_x)[zMask]\n",
" residuls_y_z = np.array(residuls_y)[zMask]\n",
" residul_x.append(np.std(residuls_x_z))\n",
" residul_y.append(np.std(residuls_y_z))\n",
"\n",
"# plt.figure(figsize=(8, 8))\n",
"plt.plot(zBinCenters, residul_x, label='residul x')\n",
"plt.plot(zBinCenters, residul_y, label='residul y')\n",
"### set y limit\n",
"plt.ylim(0, 0.2)\n",
"plt.xlabel('z (um)')\n",
"plt.ylabel('std of residuls')\n",
"plt.legend()\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x7f1462d49a60>"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"### spatial resolution in 5x5 grid\n",
"nBins = 10\n",
"rmsArray = np.zeros((nBins, nBins), dtype=float)\n",
"x = np.array(x)%1\n",
"y = np.array(y)%1\n",
"for i in range(nBins):\n",
" for j in range(nBins):\n",
" xMask = (np.array(x) >= i/nBins) & (np.array(x) < (i+1)/nBins)\n",
" yMask = (np.array(y) >= j/nBins) & (np.array(y) < (j+1)/nBins)\n",
" xyMask = xMask & yMask\n",
" residuls_x_ij = np.array(residuls_x)[xyMask]\n",
" residuls_y_ij = np.array(residuls_y)[xyMask]\n",
" rmsArray[i, j] = np.sqrt(np.mean(residuls_x_ij**2 + residuls_y_ij**2))\n",
"plt.imshow(rmsArray, origin='lower', extent=(0,1,0,1))\n",
"plt.xlabel('true x (pixel/25um)')\n",
"plt.ylabel('true y (pixel/25um)')\n",
"plt.colorbar(label='spatial resolution (rms)')\n"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 800x400 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"### project along x and y axis\n",
"nBins = interpolated_2d.shape[0]\n",
"plt.figure(figsize=(8,4))\n",
"plt.subplot(1,2,1)\n",
"plt.plot(np.arange(nBins)/nBins, np.sum(interpolated_2d, axis=1))\n",
"plt.xlabel('x')\n",
"plt.ylabel('count')\n",
"plt.subplot(1,2,2)\n",
"plt.plot(np.arange(nBins)/nBins, np.sum(interpolated_2d, axis=0))\n",
"plt.xlabel('y')\n",
"plt.ylabel('count')\n",
"plt.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"ground truth: (0.7637, 0.3112) (pixel), z=583.5157 (um)\n",
"interpolated: (0.6298, 0.4425)\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f14dfb62b80>"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"### plot one sample\n",
"sampleFile = sampleFileList[0]\n",
"idx = 15\n",
"# idx = 1\n",
"samples = np.load(sampleFile)['samples'][:, 1:-1, 1:-1]\n",
"sample = samples[idx]\n",
"labels = np.load(sampleFile)['labels']\n",
"label_x, label_y = labels[idx, 0], labels[idx, 1]\n",
"label_z = labels[idx, 2]\n",
"sum = np.sum(sample, axis=(-1,-2))\n",
"qc_x = np.sum(sample, axis=0) * np.arange(-1, 2)\n",
"qc_x = np.sum(qc_x)/sum + 0.5\n",
"qc_y = np.sum(sample, axis=1) * np.arange(-1, 2)\n",
"qc_y = np.sum(qc_y)/sum + 0.5\n",
"print(f'ground truth: ({label_x-2:.4f}, {label_y-2:.4f}) (pixel), z={label_z:.4f} (um)')\n",
"interp_x, interp_y = bilinear_xy_lookup(qc_x, qc_y, X_tab, Y_tab)\n",
"# interp_x, interp_y = xy_lookup(qc_x, qc_y, X_tab, Y_tab)\n",
"plt.imshow(sample, origin='lower', extent=(0,3,0,3))\n",
"### x and y title\n",
"plt.xlabel('X-axis [pixel/25um]')\n",
"plt.ylabel('Y-axis [pixel/25um]')\n",
"### tick labels from 0 to 3\n",
"plt.xticks(np.arange(0, 4, 1))\n",
"plt.yticks(np.arange(0, 4, 1))\n",
"plt.scatter([label_x-1], [label_y-1], color='red', marker='x', label='ground truth')\n",
"print(f'interpolated: ({interp_x:.4f}, {interp_y:.4f})')\n",
"plt.scatter([interp_x+1], [interp_y+1], color='blue', marker='+', label='eta interpolation')\n",
"plt.legend()\n",
"# plt.scatter([qc_x+0.5], [qc_y+0.5], color='green', marker='o')"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "pytorch_nightly",
"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": "3.9.18"
}
},
"nbformat": 4,
"nbformat_minor": 2
}