{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.colors as colors\n",
    "import numpy as np\n",
    "import torch\n",
    "\n",
    "from datasets import load_dataset\n",
    "from tqdm import tqdm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "dataset = load_dataset(\n",
    "    \"ppak10/NIST-In-Situ-IN625-LPBF-Overhangs\",\n",
    "    \"frames\",\n",
    "    split = \"data\",\n",
    "    num_proc = 20,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 116,
   "metadata": {},
   "outputs": [],
   "source": [
    "frame_data = dataset[10000]\n",
    "image_size = 64\n",
    "threshold = 800"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 135,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'frame_index': 1196, 'folder_layer_range': '006-010', 'part': 'OverhangPart', 'part_section': 'BASE', 'process': 'LPBFthermography', 'source': 'NIST', 'supports': 'N/A', 'layer_number': 7, 'build_time': [0.0, 1.0, 46.08774185180664], 'contact_email': 'jarred.heigel@nist.gov', 'file_name': '20180801_OverhangStudy_Layer07.mat', 'hatch_spacing': 100, 'laser_power': 195, 'layer_thickness': 20, 'material': 'IN625', 'radiant_temp': [[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, 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, 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, 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, 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, 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, 0, 0, 0, 0, 0, 0, 547, 551, 559, 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, 0, 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "114 178 48 112\n",
      "114 178 48 112\n",
      "[   1  545  546  547  548  549  550  551  552  553  554  555  556  557\n",
      "  558  559  560  561  562  563  564  565  566  567  568  569  570  571\n",
      "  572  573  574  575  576  577  578  579  580  581  582  583  584  585\n",
      "  586  587  588  589  590  591  592  593  594  595  596  597  598  599\n",
      "  600  601  602  603  604  605  606  607  608  609  610  611  612  613\n",
      "  614  615  616  617  618  619  620  621  622  623  624  625  626  627\n",
      "  628  629  630  631  632  633  634  635  636  637  638  639  640  641\n",
      "  642  643  644  645  646  647  648  649  650  651  652  653  654  655\n",
      "  656  657  658  659  660  661  662  663  664  665  666  667  668  669\n",
      "  670  671  672  673  674  675  676  677  678  679  680  681  682  683\n",
      "  684  685  686  687  688  689  690  691  692  693  694  695  696  697\n",
      "  698  699  700  701  702  703  704  705  706  707  708  709  710  711\n",
      "  712  713  714  715  716  717  718  719  720  721  722  723  724  725\n",
      "  726  727  728  729  730  731  732  733  734  735  736  737  738  739\n",
      "  740  741  742  743  744  745  746  747  748  749  750  751  752  753\n",
      "  754  755  756  757  758  760  761  762  763  764  765  766  767  768\n",
      "  769  770  771  772  773  774  775  777  778  780  781  783  784  785\n",
      "  786  787  788  790  792  793  794  795  796  797  798  799  800  801\n",
      "  802  803  804  805  806  807  808  809  811  812  813  814  815  816\n",
      "  818  819  822  824  825  827  828  829  831  832  833  834  837  838\n",
      "  839  840  841  842  844  845  846  847  849  850  851  852  854  856\n",
      "  857  860  865  866  869  870  872  874  876  878  879  880  881  882\n",
      "  884  885  886  887  888  889  890  891  892  893  894  895  896  897\n",
      "  899  900  902  904  905  906  910  911  912  915  918  919  920  923\n",
      "  925  926  927  930  933  934  936  937  939  941  942  943  944  946\n",
      "  948  949  950  952  953  954  955  956  957  959  960  961  963  964\n",
      "  968  969  970  971  972  973  975  978  981  982  985  986  987  988\n",
      "  989  990  991  993  997  999 1000 1001 1004 1005 1006 1009 1011 1012\n",
      " 1014 1016 1018 1019 1020 1021 1023 1025 1027 1029 1030 1031 1032 1033\n",
      " 1035 1036 1038 1039 1040 1041 1043 1044 1045 1049 1050 1051 1053 1055\n",
      " 1056 1057 1058 1059 1060 1061 1062 1068 1070 1072 1073 1075 1076 1077\n",
      " 1078 1080 1082 1083 1084 1085 1086 1087 1089 1090 1091 1094 1095 1097\n",
      " 1099 1100 1101 1102 1103 1104 1105 1106 1107 1108 1109 1110 1111 1112\n",
      " 1113 1114 1115 1116 1117 1118]\n",
      "(64, 64)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(64, 64)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "print(frame_data)\n",
    "\n",
    "frame = np.array(frame_data[\"radiant_temp\"])\n",
    "plt.imshow(frame)\n",
    "\n",
    "y, x = np.unravel_index(frame.argmax(), frame.shape)\n",
    "print(y, x)\n",
    "\n",
    "plt.scatter(x, y)\n",
    "\n",
    "plt.colorbar()\n",
    "plt.show()\n",
    "\n",
    "x_crop_start_index = x - image_size // 2\n",
    "x_crop_stop_index = x + image_size // 2\n",
    "y_crop_start_index = y - image_size // 2\n",
    "y_crop_stop_index = y + image_size // 2\n",
    "print(x_crop_start_index, x_crop_stop_index, y_crop_start_index, y_crop_stop_index)\n",
    "\n",
    "x_crop_start = max(0, x_crop_start_index)\n",
    "x_crop_stop = min(x_crop_stop_index, frame.shape[1])\n",
    "y_crop_start = max(0, y_crop_start_index)\n",
    "y_crop_stop = min(y_crop_stop_index, frame.shape[0])\n",
    "print(x_crop_start, x_crop_stop, y_crop_start, y_crop_stop)\n",
    "\n",
    "# Negative index values indicate padding needed\n",
    "x_crop_start_padding = min(0, x_crop_start_index)\n",
    "x_crop_stop_padding = min(0, x_crop_stop_index)\n",
    "y_crop_start_padding = min(0, y_crop_start_index)\n",
    "y_crop_stop_padding = min(0, y_crop_stop_index)\n",
    "\n",
    "def add_zeros_top(array, num_rows):\n",
    "    return np.concatenate((np.zeros((num_rows, array.shape[1])), array), axis=0)\n",
    "\n",
    "def add_zeros_left(array, num_cols):\n",
    "    return np.concatenate((np.zeros((array.shape[0], num_cols)), array), axis=1)\n",
    "\n",
    "def add_zeros_right(array, num_cols):\n",
    "    return np.concatenate((array, np.zeros((array.shape[0], num_cols))), axis=1)\n",
    "\n",
    "def add_zeros_bottom(array, num_rows):\n",
    "    return np.concatenate((array, np.zeros((num_rows, array.shape[1]))), axis=0)\n",
    "\n",
    "frame_cropped = frame[y_crop_start:y_crop_stop, x_crop_start:x_crop_stop]\n",
    "frame_cropped = add_zeros_top(frame_cropped, abs(y_crop_start_padding))\n",
    "frame_cropped = add_zeros_bottom(frame_cropped, abs(y_crop_stop_padding))\n",
    "frame_cropped = add_zeros_left(frame_cropped, abs(x_crop_start_padding))\n",
    "frame_cropped = add_zeros_right(frame_cropped, abs(y_crop_stop_padding))\n",
    "\n",
    "# Turns 0s to 1s to allow 0 value for mask\n",
    "frame_cropped = np.where(frame_cropped == 0, 1, frame_cropped).astype(int)\n",
    "print(np.unique(frame_cropped))\n",
    "\n",
    "print(frame_cropped.shape)\n",
    "# plt.imshow(frame_cropped, vmin=500, vmax=frame_cropped.max())\n",
    "plt.imshow(frame_cropped)\n",
    "plt.colorbar()\n",
    "plt.show()\n",
    "\n",
    "print(frame_cropped.shape)\n",
    "# plt.imshow(frame_cropped, vmin=500, vmax=frame_cropped.max())\n",
    "frame_thresholded = np.where(frame_cropped > threshold, frame_cropped, 1)\n",
    "# frame_thresholded = np.where(frame_cropped > 1110, 1, frame_cropped)\n",
    "plt.imshow(frame_thresholded, vmin=threshold)\n",
    "plt.colorbar()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 136,
   "metadata": {},
   "outputs": [],
   "source": [
    "def create_spherical_mask(shape, center, radius):\n",
    "    \"\"\"\n",
    "    Create a spherical mask.\n",
    "\n",
    "    Parameters:\n",
    "    - shape: Tuple specifying the shape of the mask (e.g., (height, width))\n",
    "    - center: Tuple specifying the center of the sphere (e.g., (center_y, center_x))\n",
    "    - radius: Radius of the sphere\n",
    "\n",
    "    Returns:\n",
    "    - mask: NumPy array representing the spherical mask\n",
    "    \"\"\"\n",
    "    # Create grid of coordinates\n",
    "    y, x = np.ogrid[:shape[0], :shape[1]]\n",
    "    \n",
    "    # Calculate distance from each point to the center\n",
    "    distance_from_center = np.sqrt((x - center[1])**2 + (y - center[0])**2)\n",
    "    \n",
    "    # Create mask where values inside the sphere are set to 1 and outside to 0\n",
    "    mask = distance_from_center > radius\n",
    "    \n",
    "    return mask.astype(int)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 137,
   "metadata": {},
   "outputs": [],
   "source": [
    "def create_elliptical_mask(shape, center, semimajor_axis, semiminor_axis):\n",
    "    \"\"\"\n",
    "    Create an elliptical mask.\n",
    "\n",
    "    Parameters:\n",
    "    - shape: Tuple specifying the shape of the mask (e.g., (height, width))\n",
    "    - center: Tuple specifying the center of the ellipse (e.g., (center_y, center_x))\n",
    "    - semimajor_axis: Length of the semimajor axis of the ellipse\n",
    "    - semiminor_axis: Length of the semiminor axis of the ellipse\n",
    "\n",
    "    Returns:\n",
    "    - mask: NumPy array representing the elliptical mask\n",
    "    \"\"\"\n",
    "    # Create grid of coordinates\n",
    "    y, x = np.ogrid[:shape[0], :shape[1]]\n",
    "    \n",
    "    # Calculate distance from each point to the center, considering the aspect ratio\n",
    "    distance_from_center = (((x - center[1]) / semimajor_axis) ** 2 + ((y - center[0]) / semiminor_axis) ** 2)\n",
    "    \n",
    "    # Create mask where values inside the ellipse are set to 1 and outside to 0\n",
    "    mask = distance_from_center > 1\n",
    "    \n",
    "    return mask.astype(int)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 138,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "32 32\n"
     ]
    }
   ],
   "source": [
    "cropped_y, cropped_x = np.unravel_index(frame_thresholded.argmax(), frame_thresholded.shape)\n",
    "print(cropped_y, cropped_x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 139,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Example usage\n",
    "shape = (image_size, image_size)  # Shape of the mask\n",
    "center = (cropped_y, cropped_x)   # Center of the sphere\n",
    "radius = 5         # Radius of the sphere\n",
    "semimajor_axis = 4         # Length of the semimajor axis\n",
    "semiminor_axis = 3         # Length of the semiminor axis\n",
    "\n",
    "# Create spherical mask\n",
    "mask = create_spherical_mask(shape, center, radius)\n",
    "# mask = create_elliptical_mask(shape, center, semimajor_axis, semiminor_axis)\n",
    "\n",
    "# Display the mask\n",
    "plt.imshow(mask)\n",
    "plt.colorbar()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 140,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[   0    1  545  546  547  548  549  550  551  552  553  554  555  556\n",
      "  557  558  559  560  561  562  563  564  565  566  567  568  569  570\n",
      "  571  572  573  574  575  576  577  578  579  580  581  582  583  584\n",
      "  585  586  587  588  589  590  591  592  593  594  595  596  597  598\n",
      "  599  600  601  602  603  604  605  606  607  608  609  610  611  612\n",
      "  613  614  615  616  617  618  619  620  621  622  623  624  625  626\n",
      "  627  628  629  630  631  632  633  634  635  636  637  638  639  640\n",
      "  641  642  643  644  645  646  647  648  649  650  651  652  653  654\n",
      "  655  656  657  658  659  660  661  662  663  664  665  666  667  668\n",
      "  669  670  671  672  673  674  675  676  677  678  679  680  681  682\n",
      "  683  684  685  686  687  688  689  690  691  692  693  694  695  696\n",
      "  697  698  699  700  701  702  703  704  705  706  707  708  709  710\n",
      "  711  712  713  714  715  716  717  718  719  720  721  722  723  724\n",
      "  725  726  727  728  729  730  731  732  733  734  735  736  737  738\n",
      "  739  740  741  742  743  744  745  746  747  748  749  750  751  752\n",
      "  753  754  755  756  757  758  760  761  762  763  764  765  766  767\n",
      "  768  769  770  771  772  773  774  775  777  778  780  781  783  784\n",
      "  785  786  787  788  790  792  794  795  796  797  798  799  800  801\n",
      "  802  803  804  805  806  807  808  809  811  812  813  814  815  816\n",
      "  818  819  822  824  825  827  828  829  831  832  833  834  837  838\n",
      "  839  841  842  844  845  846  847  849  850  851  852  854  856  857\n",
      "  860  865  866  870  872  874  876  878  879  880  882  884  885  886\n",
      "  887  888  889  890  891  892  893  894  895  897  899  900  902  904\n",
      "  905  906  911  912  915  918  919  920  923  925  926  930  933  934\n",
      "  937  939  941  942  943  944  946  948  950  952  953  954  955  956\n",
      "  957  959  960  961  963  964  968  969  970  971  972  973  975  978\n",
      "  981  982  985  986  987  988  989  991  993  997  999 1000 1001 1004\n",
      " 1005 1006 1009 1011 1012 1014 1016 1018 1019 1020 1021 1023 1025 1027\n",
      " 1029 1030 1031 1032 1033 1035 1036 1038 1039 1040 1041 1043 1044 1045\n",
      " 1049 1050 1051 1053 1055 1056 1057 1058 1059 1060 1061 1062 1068 1070\n",
      " 1072 1073 1075 1076 1077 1078 1080 1082 1083 1084 1085 1086 1087 1089\n",
      " 1090 1091 1094 1095 1097 1099 1100 1101 1102 1103 1104 1105 1106 1107\n",
      " 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[   1  545  546  547  548  549  550  551  552  553  554  555  556  557\n",
      "  558  559  560  561  562  563  564  565  566  567  568  569  570  571\n",
      "  572  573  574  575  576  577  578  579  580  581  582  583  584  585\n",
      "  586  587  588  589  590  591  592  593  594  595  596  597  598  599\n",
      "  600  601  602  603  604  605  606  607  608  609  610  611  612  613\n",
      "  614  615  616  617  618  619  620  621  622  623  624  625  626  627\n",
      "  628  629  630  631  632  633  634  635  636  637  638  639  640  641\n",
      "  642  643  644  645  646  647  648  649  650  651  652  653  654  655\n",
      "  656  657  658  659  660  661  662  663  664  665  666  667  668  669\n",
      "  670  671  672  673  674  675  676  677  678  679  680  681  682  683\n",
      "  684  685  686  687  688  689  690  691  692  693  694  695  696  697\n",
      "  698  699  700  701  702  703  704  705  706  707  708  709  710  711\n",
      "  712  713  714  715  716  717  718  719  720  721  722  723  724  725\n",
      "  726  727  728  729  730  731  732  733  734  735  736  737  738  739\n",
      "  740  741  742  743  744  745  746  747  748  749  750  751  752  753\n",
      "  754  755  756  757  758  760  761  762  763  764  765  766  767  768\n",
      "  769  770  771  772  773  774  775  777  778  780  781  783  784  785\n",
      "  786  787  788  790  792  793  794  795  796  797  798  799  800  801\n",
      "  802  803  804  805  806  807  808  809  811  812  813  814  815  816\n",
      "  818  819  822  824  825  827  828  829  831  832  833  834  837  838\n",
      "  839  840  841  842  844  845  846  847  849  850  851  852  854  856\n",
      "  857  860  865  866  869  870  872  874  876  878  879  880  881  882\n",
      "  884  885  886  887  888  889  890  891  892  893  894  895  896  897\n",
      "  899  900  902  904  905  906  910  911  912  915  918  919  920  923\n",
      "  925  926  927  930  933  934  936  937  939  941  942  943  944  946\n",
      "  948  949  950  952  953  954  955  956  957  959  960  961  963  964\n",
      "  968  969  970  971  972  973  975  978  981  982  985  986  987  988\n",
      "  989  990  991  993  997  999 1000 1001 1004 1005 1006 1009 1011 1012\n",
      " 1014 1016 1018 1019 1020 1021 1023 1025 1027 1029 1030 1031 1032 1033\n",
      " 1035 1036 1038 1039 1040 1041 1043 1044 1045 1049 1050 1051 1053 1055\n",
      " 1056 1057 1058 1059 1060 1061 1062 1068 1070 1072 1073 1075 1076 1077\n",
      " 1078 1080 1082 1083 1084 1085 1086 1087 1089 1090 1091 1094 1095 1097\n",
      " 1099 1100 1101 1102 1103 1104 1105 1106 1107 1108 1109 1110 1111 1112\n",
      " 1113 1114 1115 1116 1117 1118]\n"
     ]
    }
   ],
   "source": [
    "masked_frame = frame_cropped * mask\n",
    "\n",
    "# Display the mask\n",
    "plt.imshow(masked_frame)\n",
    "plt.colorbar()\n",
    "plt.show()\n",
    "print(np.unique(masked_frame))\n",
    "\n",
    "# Display target\n",
    "plt.imshow(frame_cropped)\n",
    "plt.colorbar()\n",
    "plt.show()\n",
    "print(np.unique(frame_cropped))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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