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path: root/notebooks/04b-look-at-iam-paragraphs-predictions.ipynb
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{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The autoreload extension is already loaded. To reload it, use:\n",
      "  %reload_ext autoreload\n"
     ]
    }
   ],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "\n",
    "import cv2\n",
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "from omegaconf import OmegaConf\n",
    "\n",
    "from importlib.util import find_spec\n",
    "if find_spec(\"text_recognizer\") is None:\n",
    "    import sys\n",
    "    sys.path.append('..')\n",
    "\n",
    "from text_recognizer.datasets import IamDataset\n",
    "from text_recognizer.datasets import IamParagraphsDataset\n",
    "from text_recognizer.models import SegmentationModel"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "path = \"../training/experiments/SegmentationModel_IamParagraphsDataset_UNet/1207_082955/config.yml\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "config = OmegaConf.load(path)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = SegmentationModel(\"UNet\", \n",
    "                          \"IamParagraphsDataset\", \n",
    "                          network_args=config.network.args, \n",
    "                          dataset_args=config.dataset.args)\n",
    "model.load_weights()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "2020-12-07 20:38:30.094 | INFO     | text_recognizer.datasets.iam_paragraphs_dataset:_load_iam_paragraphs:250 - Loading IAM paragraph crops and ground truth from image files...\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "IAM Paragraph Dataset\n",
      "Num classes: 3\n",
      "Data: (308, 256, 256)\n",
      "Targets: (308, 256, 256)\n",
      "\n"
     ]
    }
   ],
   "source": [
    "paragraphs_dataset = IamParagraphsDataset(False, **config.dataset.args)\n",
    "paragraphs_dataset.load_or_generate_data()\n",
    "print(paragraphs_dataset)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for ind in range(10):\n",
    "    x, y = paragraphs_dataset[ind]\n",
    "    y_hat = model.predict_on_image(x).cpu().numpy()\n",
    "    fig = plt.figure(figsize=(10,5))\n",
    "    ax1 = fig.add_subplot(131)\n",
    "    ax1.matshow(x.squeeze(0), cmap='gray')\n",
    "    ax2 = fig.add_subplot(132)\n",
    "    ax2.matshow(y.squeeze(0), cmap='gray')\n",
    "    ax3 = fig.add_subplot(133)\n",
    "    ax3.matshow(y_hat.squeeze(0), cmap='gray')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}