{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "deb79d20",
   "metadata": {},
   "source": [
    "# Hyperspectral Tutorial\n",
    "\n",
    "Example analysis of a hyperspectral image. This includes white reference and dark reference normalization but please note that that sample image (corn kernel)in this case has already been normalized to the white and dark references before the original image was cropped. We are just showing these steps for the sake of the tutorial. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "309a8dd1-57c4-4f5d-b28e-cc91effe7cb7",
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "\n",
    "# Detect notebook environment\n",
    "def detect_notebook_environment():\n",
    "    if 'COLAB_GPU' in os.environ:\n",
    "        print('Google Colaboratory detected.')\n",
    "        %pip install \"altair>=5\" ipympl plantcv\n",
    "        \n",
    "        # Give access and mount your Google Drive (need a Google Account)\n",
    "        from google.colab import drive\n",
    "        drive.mount('/content/gdrive')\n",
    "        \n",
    "        # Enable widget feature with matplotlib\n",
    "        from google.colab import output\n",
    "        output.enable_custom_widget_manager()\n",
    "        \n",
    "        #View working directory, may need to change\n",
    "        %pwd\n",
    "    else:\n",
    "        print('Binder detected.')\n",
    "\n",
    "environment = detect_notebook_environment()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "e1712db7",
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib widget\n",
    "from plantcv import plantcv as pcv\n",
    "from plantcv.parallel import WorkflowInputs\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "1e7e9b03",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Input/output options\n",
    "args = WorkflowInputs(\n",
    "    images=[\"./img/4-22-22_right_same_B73_top_00.raw\"],\n",
    "    names=\"image1\",\n",
    "    result=\"hyperspectral_result\",\n",
    "    outdir=\".\",\n",
    "    writeimg=True,\n",
    "    debug=\"plot\"\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "223254b4",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Set debug to the global parameter \n",
    "pcv.params.debug = args.debug\n",
    "# Change display settings\n",
    "pcv.params.dpi = 100\n",
    "pcv.params.text_size = 20\n",
    "pcv.params.text_thickness = 20"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "964f1012",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "237b1288f6f94080a1d81680c126b3a9",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# read hyperspectral image. With the ENVI format the input file should be a .raw. \n",
    "#If you were using a differen format the filename should be a .hdr file that includes information for shaping data (see readimage instructions)\n",
    "spectral_array = pcv.readimage(filename=args.image1, mode='envi')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "a41f3f53-323a-4a1d-a02b-32dae0b70018",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "47027e0d7a8d4b66b62e5ed159309292",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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hP0ZJKgqlmLPH3rOvQ5K+Ep1qzh7saJ9RKUm1Jb8wZ/dV2eZQn1TxB7fjjEjIMmdL+x53qp3SzWFeb2S5U+3qF+zrHpJ3nVPtN6NWmLNVY5c61T5w7IA5m5Ey0ql2WXv7LPLk6DZOtfWR24zp8nYOM6zb2fdSklL22o9z1/luM49PfGCfd925k30dkhTxnH1ObkJaulPtIM0+67zTEPvzpiSl9LM/L7/d2W3d3RavNGcPDLDXrqp3m1kfjjgDCAAA4BkaQAAAAM/QAAIAAHiGBhAAAMAzNIAAAACeoQEEAADwDA0gAACAZ2gAAQAAPEMDCAAA4BkaQAAAAM8wCu4M2F57qWJr40zZXVnx5rp9R9U7raOkTb45W5tgX4cklT592Jztcs5wp9pFe/PM2fLcI061oyOHmrMnMt90qn14y83m7NqUx5xqV8f1MmfbF9vHR0lS54t3OeXfq+1jznZoO8mp9ol37SPVKtq6jdVKutE+Zi603b4OSeqZn2POvlrqNtLx1qj7zNmNC0JOtaOSu5uzu1rZn08kadSE95zyqaELzNnopW7nKtpU2Me1tb1rvVPtwpvtzynVWzKdau8bMMGcPf/H7zjVrrvGPvKurJXb74cnXt9nziZPcKsduWu7OfvhC+PM2Zr6Sqd1hCPOAAIAAHiGBhAAAMAzNIAAAACeoQEEAADwDA0gAACAZ2gAAQAAPEMDCAAA4BkaQAAAAM/QAAIAAHiGBhAAAMAzNIAAAACeYRbwGZBRvEJxdTGmbFSrtua6+/LaOK2j/cGLzNnorFKn2kdWJpqzyVNXOdU+VBNrzu5KdpuPfEehfYZx0ltuczsP9Dxozl6eN9CpdtRXo83ZP2xymwk6rEsnp3zyba+Zs8fHHXWq3bqv/TjjlnRxql3b4wpztrSqzql2G4cZ091irnKqvWb7C+Zs6QX2mdGSVJJin3fdI+rbTrU/2vcXp/yzx8rN2eEd3Z4Lj+8da86Wv2N/jpCk1Habzdngkuudar9Z+zNztt0E+/1bktpl2mdMv7joOafaVyfYn98OV211qr31Wvt833P7289pVVW3kuY5LSXscAYQAADAMzSAAAAAnqEBBAAA8AwNIAAAgGdoAAEAADxDAwgAAOAZGkAAAADP0AACAAB4hgYQAADAMzSAAAAAnokIgiBo7kW0VCUlJUpMTNRvb3pUMVG2cWbx/exjhM5JesNpPXk7ss3Z3VkHnGq37XDCnI38aLBT7Q7rtpmzm0Y4ldbhwfvM2bHbpjjVrvtLO3P2jRnPOtWuKXzbnB2+7Vyn2sVJbmMAK/fZR06VRaU41W7fdac5+/5z9rFxkvTdS+z3q7zCPk61n0wtNmcHH61yqh0VbR+NGBPr9jjelLLJXvutm51qD01a7pTvOmmNOZv33z90ql3e2T5OLxh3u1PtCYfso+O271rqVLu61RBz9tg1br8fehSlm7OlyW7jIuvyDpmzKWlTnWpv2W9/vgpFrjVnq6ur9atfLlBxcbESEhKc1hQuOAMIAADgmbBtAFevXq3JkycrPT1dERERevbZZxt9PwgCzZkzR+np6YqJidHYsWO1davbkGoAAICWKGwbwPLycg0aNEgLFiw47fcfeughzZs3TwsWLNC6deuUmpqqCRMmqLTU7eUxAACAliayuRfQVLKzs5Wdffr3xAVBoPnz5+vee+/VlCn/fN/XokWLlJKSosWLF+vWW289m0sFAAA4q8L2DODnyc/PV2FhoSZOnNhwXSgU0pgxY7Rmjf2NyQAAAC1R2J4B/DyFhYWSpJSUxp9YTElJ0Z49ez7z56qrq1VdXd3wdUlJSdMsEAAAoAl5eQbwpIiIiEZfB0FwynWfNHfuXCUmJjZcMjIymnqJAAAAZ5yXDWBqaqqkf50JPKmoqOiUs4KfNHv2bBUXFzdcCgoKmnSdAAAATcHLBjArK0upqanKyclpuK6mpka5ubkaOXLkZ/5cKBRSQkJCowsAAEBLE7bvASwrK9POnf+aMpCfn6+NGzcqKSlJXbt21cyZM/XAAw+oR48e6tGjhx544AHFxsbqxhtvbMZVAwAANL2wbQDXr1+vcePGNXw9a9YsSdK0adP05z//WXfffbcqKyt1xx136NixYxo2bJiWL1+u+Pj45loyAADAWcEs4C/h5Czgl9fOVds425zSnHdXmev3GH6R03oyXrTPPt3ex612fs175mzMQbc/ph2RX2/O9qopd6q94Sb7nNz2j3R3ql0x+E1ztuRPbrd3Xcg+4zX6irFOtUOpLznlyw7cZc7G5N/vVLtTV/vs4Fb1bv84S2i9xJx9Y8wdTrXfvcc+a7Zj0mSn2pvHfGjOfvWVC51qV46yzyKvcHwcn9Nug1M+opv91ZbijI1OtbOevtycLZxkfxxLUuyfhpqz9V1fc6odZNo/WNj1osIvDn3C8teizNkLvzHQqXaHFR3N2dyiJKfayVt+Z8722Ge/D1bW1mnWm5uYBQwAAAB/0AACAAB4hgYQAADAMzSAAAAAnqEBBAAA8AwNIAAAgGdoAAEAADxDAwgAAOAZGkAAAADP0AACAAB4hgYQAADAM5HNvYBwEJdXrLiYalO2Y00Xc939i9o4rSPxw07mbO1H9pmgknT4+A5zNmtAhVPtyJHTzdnjPzvuVDv++Gpz9mjq+U61kzqeMGePzN3nVLvrG/a5xMdb2e57J6UU7nTKn8j7lTnbO8Ft7m3sO/nm7N+T3O5X3Wv6mrNZv93jVPvA9/ubs6Wj3WbNnvdwujmbeM06p9pJb44yZ3cnLHOqXZ84wimfnl9mzq7/mX3WrCS1/YZ93nXH++zzqCUpseY8czY3stip9pD6d8zZnd3cbpPqUvtj7dCaKqfaK0Y+Z86ef53b3N2jaV8xZ/dfcLE5W11dLb25yWkt4YYzgAAAAJ6hAQQAAPAMDSAAAIBnaAABAAA8QwMIAADgGRpAAAAAz9AAAgAAeIYGEAAAwDM0gAAAAJ6hAQQAAPAMo+DOgA1l3RVTF2vKDtp6yFx3ZY8rndbRsfvz5uwfi95zqn1J1yvM2dWRrznV7rXePvKuzZwNTrX3jD/XnC2+s6dT7fa77SO7Dq6Ldqp9UdlRc7Zy2D+caidE228TSTo6brQ5+85btsfBSR9/ZD/O4sNu99n+PX9hzh4Y8T9OteO32//tPKDfQKfaB3bHm7Obu2xzqp1ZZR8HFtnLPo5Qkjofy3PKDxyfac4+WfaxU+1zYuvM2cRM+zok6f3YX5qz7fq1dqr9wQD7qL7ez65yqr1pgH10XOUut3GRs9ZdY85u/e8DTrV3HrGvu8tv7XXr6qKc1hGOOAMIAADgGRpAAAAAz9AAAgAAeIYGEAAAwDM0gAAAAJ6hAQQAAPAMDSAAAIBnaAABAAA8QwMIAADgGRpAAAAAz9AAAgAAeIZZwGdA7w5H1Da2wpRd3cc+b/ZbVSuc1vFGN/v8y7FXDnaq3fbgQXN2zMsnnGq/kzzfnI194zKn2kd+28ecvXDEC061tSdkjo7Kcvu3VsQh+zzYxPxBTrVb73Nby5Ek+1zQUI7bHOi7v/ENc3apznOqveHA/2fOHi1r61T7wKW2x7skafVbTrV7RF5vzu7OuMSp9uFLF5uz0UcmOdXukjfBKf93h9nB58ltxnS7VPt83+497TPUJWlNpH02dlKk/XlTko5sqTdnY2uec6p9XT/7/rw9P8WpdsXN9rm6+a+63Wdv6HXInH32kSvN2RNl5dK4nzmtJdxwBhAAAMAzNIAAAACeoQEEAADwDA0gAACAZ2gAAQAAPEMDCAAA4BkaQAAAAM/QAAIAAHiGBhAAAMAzNIAAAACeYRTcGfDBwErFxAWmbNLPR5nrlnzzHad19Pn7e+bssUntnGq/V1VuD0ff6lT7uquPmrMvtDnsVHvScXvtvbVJTrVryuyjrEKa7FT7QAf7WL+PN/Vzqj0t2X6bSNI5Gfbb/MCYEU6133252pxd8auNTrV7PP89c7a04G9Ote/cbx+rteLlZU6137jqT+Zs17jWTrVLP7aPmRtw2O3559B4t3FtPUvt+fqjA51qP1vzlDnb++j5TrWDZPt4yXbb3PZnd1f72MAPD//IqfaHf482Z785ealT7fIn7KMrawu/61R7VY19XGTcsdfN2ZqqKqd1hCPOAAIAAHgmbBvA1atXa/LkyUpPT1dERISeffbZRt+fPn26IiIiGl2GDx/ePIsFAAA4i8K2ASwvL9egQYO0YMGCz8xMmjRJBw8ebLi89NJLZ3GFAAAAzSNs3wOYnZ2t7Ozsz82EQiGlpqaepRUBAAD8ewjbM4AWq1atUnJysnr27KlbbrlFRUVFn5uvrq5WSUlJowsAAEBL420DmJ2drb/+9a9asWKFHn74Ya1bt07jx49XdfVnfypx7ty5SkxMbLhkZGScxRUDAACcGWH7EvAXmTp1asN/9+/fX0OGDFFmZqaWLl2qKVOmnPZnZs+erVmzZjV8XVJSQhMIAABaHG8bwE9LS0tTZmamduzY8ZmZUCikUCh0FlcFAABw5nn7EvCnHTlyRAUFBUpLS2vupQAAADSpsD0DWFZWpp07dzZ8nZ+fr40bNyopKUlJSUmaM2eOrr32WqWlpWn37t2655571LFjR11zzTXNuGoAAICmF7YN4Pr16zVu3LiGr0++d2/atGl65JFHtGXLFj322GM6fvy40tLSNG7cOD355JOKj7ePtAEAAGiJIoIgsA2xxSlKSkqUmJio5568WW1jo0w/EyzuaK/fzm1ma+u3/9OcLfj1k061i9e1NWfHvVDgVHtptr12q2NdnWqXpaWYsz0d/zkU/1GFOdvq+/YZlZL0/J0fm7NDL+zuVHvdWLf5pBc82cacXV9rv00kqf35083ZylZ7nWrHtX3BnK0r7+9Uu6jzAXO29k+HnGp3HmafNbt5mH22uCQlPbbGnI2LdZsx/c3IFU755Ze/aM6Of/Qyp9pvp9vfq53Ryv78I0n1DvPFX1rqNh955I+2m7Pb27udrOiw4yJzNrNjsVPtVuvsz1exsW7rTt+52pz97WT74/hEZbVeuvXnKi4uVkJCgtOawgXvAQQAAPAMDSAAAIBnaAABAAA8QwMIAADgGRpAAAAAz9AAAgAAeIYGEAAAwDM0gAAAAJ6hAQQAAPAMDSAAAIBnwnYW8Nm0b+sliom2jfzZH3XQXLdDjX10jyRVD7OPd2u/w6m09vQpN2dnX+g2DmzUpvPN2bJ1TznV7j0+05w9NP+EU22VjTVH93wlyan0+V8fbs4+ddw+OkySRj6x0Cmf0q+LPbzAPiJNkka+8w1z9lD+RLfaI3qZsztnu/1bOGe3/T7ee9/tTrVD/R42Z2Nf7+RUu+cf7aPJPnp0sVPtlU/YxmGedHHn6ebss632ONVOibTfD5P3HXeqvTpyhDmbNNU+ilKSOq8sNWerr3vPqfa+C8eas63L3J7DC5McRm5udKudE3mjOZv82ipztqamxmkd4YgzgAAAAJ6hAQQAAPAMDSAAAIBnaAABAAA8QwMIAADgGRpAAAAAz9AAAgAAeIYGEAAAwDM0gAAAAJ6hAQQAAPAMDSAAAIBnmAV8BqREf6jY6GhTdptxZrAkXZd11Gkd7yV8zZxNqHUbBrx8Tp05e1NftxmVJefvNGcret7pVPvIsw+ZsymXfNep9q5tr5uz+Rk3O9X+QZR9Xm/JILc5qWm1Hzvlj64NmbOxf3ebe/vBTx41Z3PPcZuNnfytZeZsXanbHOiP3uxuzqZGbnSqXb3JPlc1+jL73kjS6/N3mbPffKW/U+0NtW5zbw9ue8GcjbnQqbTqt9nnQB8e/KpT7b0P2h9vl99R5VR7a/wkc7Z7lNsM8O359vt4hxi33w/vHk01Z8suc7tNWsddZs4Oecp+jJUnKrVIf3ZaS7jhDCAAAIBnaAABAAA8QwMIAADgGRpAAAAAz9AAAgAAeIYGEAAAwDM0gAAAAJ6hAQQAAPAMDSAAAIBnaAABAAA8wyi4M6C3Wine2EtXDKow1/111iindfR86a/m7LJBbuPA6ru3Nmff6jfdqXa3sgPmbIdEt7Fnbfs8aM4e2ZvnVDu6LM2cjYp+wqn2ocPbzdmjNT2capfteN8pv1+X2NeyaLFT7YQR55uzXePWOtUu+Ogtc/aDoolOtSdtto9dfHLsY061R+960R5+O8upttoNNEfXJ/3MqXTFjVc65T9YPdqcTXpzpVPt8X3s48YO13zdqfbtY0rN2d37X3OqXTvMPv4zKDjXqfbQ4fYxaRtfjXKqXXDAPuL0/8kc7FS7po99VN9TyW3sdWsqndYRjjgDCAAA4BkaQAAAAM/QAAIAAHiGBhAAAMAzNIAAAACeoQEEAADwDA0gAACAZ2gAAQAAPEMDCAAA4BkaQAAAAM/QAAIAAHiGWcBnQFGPAlXE2mYnbp7Rx1z3G9c6zASVtKnKPpu2Ls5tFvD9hT3N2Ufza5xqVybtNGfT29tnfEpSp8Njzdl3zrHP35WkxCP2ObYDW0U71d5eXG/OHjqW6FT7rn5us0+X7l9tzl4xxD7rWpKK1/6HPXvx35xqVx7ub84md7Xf3pK0/wL7fNKufe2PeUlq3WOGObvvdbd5sGVR/2POnrt3pFPtg8X2OaySlJn2K3O2vOwap9obL7fPu+50qJ1T7Zz8rubsBf1+4lS7+yv2+9Xu6/o51c5btMycHXm+216eU2PPvxu9wan2iccPm7NxFw01Z2sqI6VFTksJO5wBBAAA8EzYNoBz587VhRdeqPj4eCUnJ+vqq6/W9u2Nz/AEQaA5c+YoPT1dMTExGjt2rLZu3dpMKwYAADg7wrYBzM3N1YwZM7R27Vrl5OSotrZWEydOVHl5eUPmoYce0rx587RgwQKtW7dOqampmjBhgkpLS5tx5QAAAE0rbN8DuGxZ4/c7LFy4UMnJycrLy9Po0aMVBIHmz5+ve++9V1OmTJEkLVq0SCkpKVq8eLFuvfXW5lg2AABAkwvbM4CfVlxcLElKSkqSJOXn56uwsFATJ05syIRCIY0ZM0Zr1qw5bY3q6mqVlJQ0ugAAALQ0XjSAQRBo1qxZuvjii9W//z8/GVhYWChJSklJaZRNSUlp+N6nzZ07V4mJiQ2XjIyMpl04AABAE/CiAbzzzju1efNmPfHEE6d8LyIiotHXQRCcct1Js2fPVnFxccOloKCgSdYLAADQlML2PYAn3XXXXXr++ee1evVqdenSpeH61NRUSf88E5iW9q+/n1dUVHTKWcGTQqGQQqFQ0y4YAACgiYXtGcAgCHTnnXfq6aef1ooVK5SVldXo+1lZWUpNTVVOTk7DdTU1NcrNzdXIkW5/ABUAAKAlCdszgDNmzNDixYv13HPPKT4+vuF9fYmJiYqJiVFERIRmzpypBx54QD169FCPHj30wAMPKDY2VjfeeGMzrx4AAKDpRARBEDT3IprCZ72Pb+HChZo+fbqkf54lvP/++/W73/1Ox44d07Bhw/TrX/+64YMiX6SkpESJiYl6/baligu1Nf1MQf1xU06SDvU5Zs5KUslre8zZ0GXTnWp33pRrzh7s9aFT7XXp8eZs99w6p9ptig6Zs3/7aqZT7fOeTTJnx6ZmfXHoE/KrnjZn99af/kNLn+XjYalO+cvy7WPsola4jac6POQdc3Zg+3Sn2jsH2UcMHnhnslPtdvH2/dlX7/YPypKCWHO2rmiVU+397f5qzt6Q/B2n2rsGrHXKn2hlHy8Zd9htf2Iq8szZXXlu4wvT6+1/J7bdW62dahfNO2DOHq1xe9z33m1/HFekuz3WehfYn2ffP/o9p9qtdp763v3P8mbNWHP2RG25cl67WsXFxUpISHBaU7gI2zOAlr42IiJCc+bM0Zw5c5p+QQAAAP8mwvY9gAAAADg9GkAAAADP0AACAAB4hgYQAADAMzSAAAAAnqEBBAAA8AwNIAAAgGdoAAEAADxDAwgAAOAZGkAAAADPhO0ouLNpWY86RcfYZtTeXnarue7rLz/qtI4+PZeas29X2GeCStI/suz57iMynGq3/eW3zNnK80NOtfcOe8acHbW9i1PtVj3tM0FfK/uFU+3YK+1zO4NfTnSq/Z2oDU75gtiO5uyar7/pVLtPkW3utiT95dg/nGoP+5u99lC3EcZ6pTTRnN177W+caqe/ap+NXbJ3iFPt0bWjzdmPBrg9HrbsauOUP7EpxZwNJrvVnnqh/T4eETnBqXbhK8+Zs0tGfNup9mU/tT/nf9x7nFPtodn2udsV67Y51a5aP9Wcrem+1al27/Ps85ELDxy1r6PGbQZ0OOIMIAAAgGdoAAEAADxDAwgAAOAZGkAAAADP0AACAAB4hgYQAADAMzSAAAAAnqEBBAAA8AwNIAAAgGdoAAEAADxDAwgAAOCZiCAIguZeREtVUlKixMRE/erZLYppa5vfmbrOPpt2h+Ns2uQ+ZebsylZdnWp32WPPlk3PcardIz/WnK1wG2OrIUOi7LVXdHOq/atei83ZrPSHnWonFtlvw20fuc3fTd2Z7pTvdrzKnH1vQnen2ntG2bND/+5UWm072o/zyNrVTrX3d7TPHG0/4Hyn2gU19pmt4yvd9nLPbvtM3SOj7PsuSW2PFzvlz2n1Q3M2pdW9TrVf3nGuOTuwn33WtSSl5Oebs0c22+8nkvTe1GnmbKjmNafaoY8nm7OvVa1yqn1HjX1W/PYD33Sq3ffo38zZzdlfNWdrqqr0l3vmqLi4WAkJCU5rChecAQQAAPAMDSAAAIBnaAABAAA8QwMIAADgGRpAAAAAz9AAAgAAeIYGEAAAwDM0gAAAAJ6hAQQAAPAMDSAAAIBnIpt7AeGg36vPKy4UbcruKnnfXPejr7qNeRq2odScbX3QPs5Ikl6JrDBnr8m1j3aTpPxY+xiu1p1+4FT7cLF9pNqSovecamfl3mLO9nr8A6fa9YWHzNnioqFOtePu3umUP/64fe8zB/zZqXbCY6nm7O4D9vFekjQoxT72bMBIt5Fd8Rv7m7MPn+N2v7rvtQxztm2J22OtVneZs30S7GMrJSnrqNvouI+KF5qzL7+/wKn216PvNmc7Lu3pVHtl1yxzdl/Z6061h+a/YM5+ONY2fvSkYQ61e91ywKl2m42/MGcHFH3sVPu9qjvM2UFR9sdaZV210zrCEWcAAQAAPEMDCAAA4BkaQAAAAM/QAAIAAHiGBhAAAMAzNIAAAACeoQEEAADwDA0gAACAZ2gAAQAAPEMDCAAA4BkaQAAAAM8wC/gMOPitfoqNa2vKdl9lnwW89R23ma15vZLM2YOxw51qd014yZxNTDvhVDu5fpg5e+hF+4xcSSqfuN2cHTZhqlPtfcN+Z84W/MFtbmfSsDpztv9/3+hU+50/XuSUv6bWfj98obiLU+1ukWXm7PF73GbNBn+2z/p8/1sTnWqrYpc5ekmaW+lD5+82Zzcf/4pT7fYv3G/OttvU3an2m6+4zTwuuM5+v/pgmNvj/sIxk8zZYOVWp9pd7CN1VXD9/3GqvSvVPh95UP0ep9q5mcfN2Y+32efKS9IF2+w3yp6R/ZxqJ/7d/nst+uop5mxQUS7pEae1hJuwPQM4d+5cXXjhhYqPj1dycrKuvvpqbd/euBmYPn26IiIiGl2GD3drjAAAAFqasG0Ac3NzNWPGDK1du1Y5OTmqra3VxIkTVV5e3ig3adIkHTx4sOHy0kv2M10AAAAtUdi+BLxs2bJGXy9cuFDJycnKy8vT6NGjG64PhUJKTU0928sDAABoNmF7BvDTiouLJUlJSY3fT7Bq1SolJyerZ8+euuWWW1RUVNQcywMAADhrwvYM4CcFQaBZs2bp4osvVv/+/Ruuz87O1vXXX6/MzEzl5+frhz/8ocaPH6+8vDyFQqFT6lRXV6u6+l9vLC8pKTkr6wcAADiTvGgA77zzTm3evFlvvPFGo+unTv3Xpz779++vIUOGKDMzU0uXLtWUKad+mmju3Lm6/377p+gAAAD+HYX9S8B33XWXnn/+ea1cuVJdunz+n6hIS0tTZmamduzYcdrvz549W8XFxQ2XgoKCplgyAABAkwrbM4BBEOiuu+7SM888o1WrVikrK+sLf+bIkSMqKChQWtrp/3BXKBQ67UvDAAAALUnYngGcMWOGHn/8cS1evFjx8fEqLCxUYWGhKisrJUllZWX6/ve/r7feeku7d+/WqlWrNHnyZHXs2FHXXHNNM68eAACg6YTtGcBHHvnnX/geO3Zso+sXLlyo6dOnq3Xr1tqyZYsee+wxHT9+XGlpaRo3bpyefPJJxce7TW0AAABoScK2AQyC4HO/HxMTo1deeeWM/L/6LA8pLtr20vA/dthHk5Ve2sNpHVl77GO4Wpc/6VR7Z+Z15mzmG2ucau8e0NGcTbvIYQ6TpA8232rOHq9ye09n3fWDzdmDVx91qp22rN6crV6+zan2pVFuY7U+/PAdczZ2kNsYwPrr7OP3St5yG091fNxic7bXJvvjUpLWxE43Z3d/z+0flMG9fc3Z8355wKl27fnfNGcf2bnRqfb3v7rJKd+r3xBzdsdat/05lpdpzj639Smn2kPTO5izmVluryYdeTrbnD18fvkXhz7pkP1+2HWA/faTpEsH2J87n/qT27pb925tzub+7B5z9kSt2/NJOArbl4ABAABwejSAAAAAnqEBBAAA8AwNIAAAgGdoAAEAADxDAwgAAOAZGkAAAADP0AACAAB4hgYQAADAMzSAAAAAnqEBBAAA8EzYzgI+m/YPX6e2cdGm7JC8G8x1jy12mx97bNYGc3Zj+z1OtVN/nmvO7vzKeqfaFZsuMWc7x9nnh0rSoJB9LTuvesupdspfM8zZZSMnONUuW7nVnI28ZrlT7e0lNznlI3vPNGeLDn3XqXbac8XmbOadP3aq3WFFf3M2Zcp3nGqfWGafp9xvTKpT7Ywk++M4/zLbDPKTzqm3Px7O63yxU+2Kc77llC+PtWezep3rVPvcLQvN2U5j7I9jSeqwxT5zfe/BUU61u1zWyZyNPfqeU+2drd40Zw8+avt9dtLLve33lS2H3eaFD+30sTmb2P1Fc7amplJ63WkpYYczgAAAAJ6hAQQAAPAMDSAAAIBnaAABAAA8QwMIAADgGRpAAAAAz9AAAgAAeIYGEAAAwDM0gAAAAJ6hAQQAAPAMo+DOgNGbdikhJsqUfeycSea6QWK60zq6bthnzl7a2T5ySJLSrutuzj6TV+dUu0NHezbz6Dan2u+X32bORj3jNm7q7TX2MVw9z3cbrVReZb8N84e63U/G7Yh3yh8/vsKcPXf4rU61O6/5gTk7Z9U4p9ozMu3HuXZTnlPtuto+5uybHQ461R66rtScjf5wilPtLUPtzxGX1biN7DqeYn+OkKSqgnfM2djYRKfakdH20YtH9yx1qr2v3r6W/Xc7ldaKp+zjP7/5sn2MoiSVp9vvs+dcle9U+6pNu8zZUdvdxnl+tMM+0vHElVnmbFVFubTIaSlhhzOAAAAAnqEBBAAA8AwNIAAAgGdoAAEAADxDAwgAAOAZGkAAAADP0AACAAB4hgYQAADAMzSAAAAAnqEBBAAA8AwNIAAAgGeYBXwGfLS+h+KjbLNeW313g7lu5Pv/6bSOIz9/2Jx963b7fEVJuvSdWHO29/DNTrWrHrLPsn1taE+n2hkbt5qza87t7VS73fOvm7O7F7rNXj4n1Z6d9HO3ebBtsvY65fd0W2/Ovp7iNp+07S0PmLOXPLXWqXbPsvfM2YjpI5xqb9ywx5wdOfyQU+1J++2Ph6P93WbkHjv8O3N214eTnWqf28/+3CZJCSuvMmerEn7iVLu08EpzNjG9yql22732GcnHP7TPO5ak8+61zzDeV+Y2A/zKo/bH5oq8nU6150d/35ztdLNb7W5t7PORX3rV/lirralwWkc44gwgAACAZ2gAAQAAPEMDCAAA4BkaQAAAAM/QAAIAAHiGBhAAAMAzNIAAAACeoQEEAADwDA0gAACAZ2gAAQAAPMMouDPg3c7pig3ZRqX1tU9i0ttjn3ZaR9rEenO2n9v0I21741lzNjbFPjZOkjqk28e7dUlwGzO35uf2kV0d7y91qj1wnn200pbhbrUv2j7VnP3HJY871R7ycjunfMctF5mz577ltj8dR9lvw4GDBzvV3l9gvw1riuxj/SQpZmWdOfux7LefJL0WZx95N6aX23i8rW9PNGdDctvLbmuT3PIT7I/NF1e6jVIcFP2iOVs2IMupdl7UR+Zs11vd1v1xV4cxjVekOdUuqV1uzlb85Qmn2v2ybaNQJUnJvZxqr3zhZXM2PXWYOVsTVDutIxxxBhAAAMAzYdsAPvLIIxo4cKASEhKUkJCgESNG6OWX//UviSAINGfOHKWnpysmJkZjx47V1q1bm3HFAAAAZ0fYNoBdunTRgw8+qPXr12v9+vUaP368rrrqqoYm76GHHtK8efO0YMECrVu3TqmpqZowYYJKS91eqgMAAGhpwrYBnDx5si6//HL17NlTPXv21E9+8hPFxcVp7dq1CoJA8+fP17333qspU6aof//+WrRokSoqKrR48eLmXjoAAECTCtsG8JPq6uq0ZMkSlZeXa8SIEcrPz1dhYaEmTvzXG6JDoZDGjBmjNWvWfGad6upqlZSUNLoAAAC0NGHdAG7ZskVxcXEKhUK67bbb9Mwzz6hv374qLCyUJKWkpDTKp6SkNHzvdObOnavExMSGS0ZGRpOuHwAAoCmEdQPYq1cvbdy4UWvXrtXtt9+uadOm6f3332/4fkRERKN8EASnXPdJs2fPVnFxccOloKCgydYOAADQVML67wBGRUWpe/fukqQhQ4Zo3bp1+sUvfqEf/OAHkqTCwkKlpf3rbykVFRWdclbwk0KhkEKhUNMuGgAAoImF9RnATwuCQNXV1crKylJqaqpycnIavldTU6Pc3FyNHDmyGVcIAADQ9ML2DOA999yj7OxsZWRkqLS0VEuWLNGqVau0bNkyRUREaObMmXrggQfUo0cP9ejRQw888IBiY2N14403NvfSAQAAmlTYNoCHDh3STTfdpIMHDyoxMVEDBw7UsmXLNGHCBEnS3XffrcrKSt1xxx06duyYhg0bpuXLlys+Pt78/wiCQJJUWV1p/pmyGvsMtsqK1uasJFVU20fbVFXa1yxJ1bX22q0ra51qV52wr6Wiym18T3WZfWRX4LAOSaqstu9lTYXbyfbymjKH2m63SaXDfVCSqurst0vNiRq3tVTZa1e7lVadw21YXeF2m5yot9/mtTUVbrVr7LUrKx3X7XAbRtQ67qXD848klVfYb5faGre1VLg8z1a67U+Nw+O++oTb/tTUODweHG4/SaqsPWHOnrBHJUlVlQ774/pYO2H/fVLjcB88+Tg7+XvcRxGBz0f/Je3bt49PAgMA0EIVFBSoS5cuzb2MZkED+CXU19frwIEDio+Pb/Tp4ZKSEmVkZKigoEAJCQnNuMKm48MxShxnOPHhGCWOM5z4cIxS8xxnEAQqLS1Venq6WrXy6uMQDcL2JeCzoVWrVp/7L4eTc4jDmQ/HKHGc4cSHY5Q4znDiwzFKZ/84ExMTz9r/69+Rn20vAACAx2gAAQAAPEMD2ARCoZDuu+++sP6j0T4co8RxhhMfjlHiOMOJD8co+XOc/274EAgAAIBnOAMIAADgGRpAAAAAz9AAAgAAeIYGEAAAwDM0gGfYb37zG2VlZSk6OlqDBw/W66+/3txLOqPmzJmjiIiIRpfU1NTmXtaXtnr1ak2ePFnp6emKiIjQs88+2+j7QRBozpw5Sk9PV0xMjMaOHautW7c2z2L/l77oGKdPn37K3g4fPrx5FvslzJ07VxdeeKHi4+OVnJysq6++Wtu3b2+Uaen7aTnGcNjPRx55RAMHDmz4A8EjRozQyy+/3PD9lr6PJ33RcYbDXn7a3LlzFRERoZkzZzZcFy772VLQAJ5BTz75pGbOnKl7771XGzZs0KhRo5Sdna29e/c299LOqH79+ungwYMNly1btjT3kr608vJyDRo0SAsWLDjt9x966CHNmzdPCxYs0Lp165SamqoJEyaotLT0LK/0f++LjlGSJk2a1GhvX3rppbO4wjMjNzdXM2bM0Nq1a5WTk6Pa2lpNnDhR5eXlDZmWvp+WY5Ra/n526dJFDz74oNavX6/169dr/Pjxuuqqqxqagpa+jyd90XFKLX8vP2ndunX6/e9/r4EDBza6Plz2s8UIcMYMHTo0uO222xpd17t37+C//uu/mmlFZ959990XDBo0qLmX0aQkBc8880zD1/X19UFqamrw4IMPNlxXVVUVJCYmBr/97W+bYYVf3qePMQiCYNq0acFVV13VLOtpSkVFRYGkIDc3NwiC8NzPTx9jEITvfrZv3z549NFHw3IfP+nkcQZBeO1laWlp0KNHjyAnJycYM2ZM8J3vfCcIgvB8XP674wzgGVJTU6O8vDxNnDix0fUTJ07UmjVrmmlVTWPHjh1KT09XVlaWbrjhBu3atau5l9Sk8vPzVVhY2GhvQ6GQxowZE3Z7u2rVKiUnJ6tnz5665ZZbVFRU1NxL+tKKi4slSUlJSZLCcz8/fYwnhdN+1tXVacmSJSovL9eIESPCch+lU4/zpHDZyxkzZuiKK67QpZde2uj6cN3Pf2eRzb2AcHH48GHV1dUpJSWl0fUpKSkqLCxsplWdecOGDdNjjz2mnj176tChQ/rxj3+skSNHauvWrerQoUNzL69JnNy/0+3tnj17mmNJTSI7O1vXX3+9MjMzlZ+frx/+8IcaP3688vLyWuxf6A+CQLNmzdLFF1+s/v37Swq//TzdMUrhs59btmzRiBEjVFVVpbi4OD3zzDPq27dvQ1MQLvv4Wccphc9eLlmyRO+++67WrVt3yvfC7XHZEtAAnmERERGNvg6C4JTrWrLs7OyG/x4wYIBGjBihbt26adGiRZo1a1YzrqzphfveTp06teG/+/fvryFDhigzM1NLly7VlClTmnFl/3t33nmnNm/erDfeeOOU74XLfn7WMYbLfvbq1UsbN27U8ePH9Y9//EPTpk1Tbm5uw/fDZR8/6zj79u0bFntZUFCg73znO1q+fLmio6M/Mxcu+9kS8BLwGdKxY0e1bt36lLN9RUVFp/yLJpy0bdtWAwYM0I4dO5p7KU3m5KecfdvbtLQ0ZWZmtti9veuuu/T8889r5cqV6tKlS8P14bSfn3WMp9NS9zMqKkrdu3fXkCFDNHfuXA0aNEi/+MUvwmofpc8+ztNpiXuZl5enoqIiDR48WJGRkYqMjFRubq5++ctfKjIysmHPwmU/WwIawDMkKipKgwcPVk5OTqPrc3JyNHLkyGZaVdOrrq7Wtm3blJaW1txLaTJZWVlKTU1ttLc1NTXKzc0N6709cuSICgoKWtzeBkGgO++8U08//bRWrFihrKysRt8Ph/38omM8nZa6n58WBIGqq6vDYh8/z8njPJ2WuJeXXHKJtmzZoo0bNzZchgwZoq9//evauHGjzj333LDez39LzfThk7C0ZMmSoE2bNsEf//jH4P333w9mzpwZtG3bNti9e3dzL+2M+d73vhesWrUq2LVrV7B27drgyiuvDOLj41v8MZaWlgYbNmwINmzYEEgK5s2bF2zYsCHYs2dPEARB8OCDDwaJiYnB008/HWzZsiX42te+FqSlpQUlJSXNvHK7zzvG0tLS4Hvf+16wZs2aID8/P1i5cmUwYsSIoHPnzi3qGIMgCG6//fYgMTExWLVqVXDw4MGGS0VFRUOmpe/nFx1juOzn7Nmzg9WrVwf5+fnB5s2bg3vuuSdo1apVsHz58iAIWv4+nvR5xxkue3k6n/wUcBCEz362FDSAZ9ivf/3rIDMzM4iKigouuOCCRn+WIRxMnTo1SEtLC9q0aROkp6cHU6ZMCbZu3drcy/rSVq5cGUg65TJt2rQgCP75Jwruu+++IDU1NQiFQsHo0aODLVu2NO+iHX3eMVZUVAQTJ04MOnXqFLRp0ybo2rVrMG3atGDv3r3NvWxnpztGScHChQsbMi19P7/oGMNlP7/1rW81PJ926tQpuOSSSxqavyBo+ft40ucdZ7js5el8ugEMl/1sKSKCIAjO3vlGAAAANDfeAwgAAOAZGkAAAADP0AACAAB4hgYQAADAMzSAAAAAnqEBBAAA8AwNIAAAgGdoAAEAADxDAwgAAOAZGkAAAADP0AACAAB4hgYQAADAMzSAAAAAnqEBBAAA8AwNIAAAgGdoAAEAADxDAwgAAOAZGkAAAADP0AACAAB4hgYQAADAMzSAAAAAnqEBBAAA8AwNIAAAgGdoAAEAADxDAwgAAOAZGkAAAADP0AACAAB4hgYQAADAMzSAAAAAnqEBBAAA8AwNIAAAgGdoAAEAADxDAwgAAOAZGkAAAADP0AACAAB4hgYQAADAMzSAAAAAnvm/QI2O8ot3JuIAAAAASUVORK5CYII=",
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       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' 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       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
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       "version_major": 2,
       "version_minor": 0
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      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Read in dark and white reference files, please note that the one of the dimensions (likely width needs to match your raw data)\n",
    "\n",
    "white_img= \"./img/white_reference_crop.raw\"\n",
    "dark_img= \"./img/dark_reference_crop.raw\"\n",
    "\n",
    "white_ref = pcv.readimage(filename= white_img, mode='envi')\n",
    "dark_ref= pcv.readimage(filename= dark_img, mode='envi')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "10eed0ee-e4f5-4e23-b729-d645fa046287",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "efdd1374ce18436590812d635d8455a5",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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WCPP8pGffFU5cQeBZdX7DFZkpTLHq2UhxOusT0HYVocd43dW7LX9mS+yK6Vy+0zH1j+K66x+wbfZq/tsq+NJPV0t7vquwbtsXSlVl8UXHvJfsyWKr54qlLJHiFVdL4UTmU/sEqO81KSUsdyljLf2ietdXNtQfZYLUkqJL71CYl9/ELDHmMmSaWKfe2Tgm/xQ81+7QxtvtizroZ9n9Rqvui9yU77+kz4kkLV025fn0bui6Ic7rSP/fIp+/7OG77zshlxBxAAACAyNIAAAACRoQEEAACIDA0gAABAZGgAAQAAIkMDCAAAEBkaQAAAgMjQAAIAAESGBhAAACAyNIAAAACRoQEEAACIDFnAc6BcqCg1ZgHXC4580syXe9sIF5hrC6kv7LFRnzTXFsu+PNiWKfvYyzqWusZeUbGPvXLJctfYvQP2jNzB5UtcY69wzKVnqS9bs6PHtz5tbfYszspS+/EtSWlj2F5b9mWfFhzxsUnRlzVbdOTYJkX7cSJJeV4z1xYq9mzfn09mib02dWb7Zs59WLJnb4fEl11edMwlyXznTyM5ba7NnTnQBcc+KTuubZJUdpwQHV3drrGXTNnHnlBwjd0+0mau7ezIzLUZWcDcAQQAAIgNDSAAAEBkaAABAAAiQwMIAAAQGRpAAACAyNAAAgAARIYGEAAAIDI0gAAAAJGhAQQAAIgMDSAAAEBkiIKbA3mYloKtl05rfeZxs7TsmkdStEcUZdUW19iFjn5z7XLZ5yFJ3b2/Yq4d6LBHcElSX6s9Hq/vbStcY68YsEdI9XXYI54kqWfFMnNte8kXkda21Pe6r+iIG0t9h5VKuT2WrpCfdI2dOo6VNPHFABayCXNtsTjlGjut2o+VJHVGwbWN2efR8EWkpYkvCi4xXjMlSQ1fLF3uiPZLSs7zISuZaxtVe60kpbIfV6XUXitJLRV7JGFbyXcNby/YT/yOku98aF9uv76lk/axQ50oOO4AAgAARKZpG8DHHntM1157rQYHB5Ukib7zne/M+noIQbt27dLg4KBaW1u1adMmPfPMMwszWQAAgPOoaRvAiYkJXXrppdqzZ885v37bbbfp9ttv1549e3Tw4EH19/frmmuu0diY/UckAAAAi1HTvgdwy5Yt2rJlyzm/FkLQHXfcoZtvvllbt26VJN19993q6+vTvffeq89+9rPnc6oAAADnVdPeAXwjR44c0dDQkDZv3jzzXKVS0ZVXXqnHH398AWcGAAAw/5r2DuAbGRoakiT19c3+jdy+vj799Kc/fd2/V61WVa3+32+jjY6Ozs8EAQAA5lGUdwDPSpJk1p9DCK957pV2796t7u7umceqVavme4oAAABzLsoGsL//559pd/ZO4FknTpx4zV3BV9q5c6dGRkZmHkePHp3XeQIAAMyHKBvANWvWqL+/X3v37p15rlaraf/+/dq4cePr/r1KpaKurq5ZDwAAgMWmad8DOD4+rh//+Mczfz5y5Iieeuop9fT06IILLtD27dt1yy23aO3atVq7dq1uueUWtbW16VOf+tQCzhoAAGD+NW0D+MQTT+iqq66a+fOOHTskSdu2bdM//uM/6itf+Yqmpqb0hS98QWfOnNHll1+uRx55RJ2dvlgtAACAxSYJIYSFnsRiNTo6qu7ubi1/+7uUFmy5o2mw5zcmRV8WZ+LInWxpc2bTOiIte5f45j2QtNrHXmXP9pWkZUvteY+9vatdY69YYc9q7unwvdYqLLfvk87yUt/YvjhlFTvsv+2e5L7Bk9qkfR6N1/8FrXOqnDKXFqZ9uarFSpu5tkW+HNta0f7WkmLJdx6HbNpcW0p87xDKU18WcKloPzcLzm9TWYejPvetfd0R0d5wvstqfNQeRHB6wn7uSNLwuP096yeO+/b3y8P27ODjQ76whR+P28+HZ39sHzurZ3rq//1YIyMj0b6dK8r3AAIAAMSMBhAAACAyNIAAAACRoQEEAACIDA0gAABAZGgAAQAAIkMDCAAAEBkaQAAAgMjQAAIAAESGBhAAACAyNIAAAACR8QWU4pxS9SgNxl0Z7HmmaZa55tGy1D72Mt/QWtk2aK8d8GXq9i3rNNcu6213jd3bac94XN7ny1XtcMy7pcURpiyp1GbPAi6WnWOnU676kNqzhlNH1qwkWU8bSUomhl1jFxyXt0LF91q4mNiPlax1iW/shj1TN/HFDCtpr9lrp3zHldTiqq5V7Vm2re323GBJyjy50c5jNivac3Lzad+5lpTr5trSpC8LOK3br4Wlsi+vt5DY88JDwZnrnNoP8lCxf38IqfObYBPiDiAAAEBkaAABAAAiQwMIAAAQGRpAAACAyNAAAgAARIYGEAAAIDI0gAAAAJGhAQQAAIgMDSAAAEBkaAABAAAiQxTcHCjkh5TKFj2UhIvM4+bdvpynlqxsrv2VpfZYIEl6e98Kc+3gO+3RYZK0rMseM7esd5lr7CUr7LFDXV3drrErncvNtYXgi5sqttoju0rBF4+XFezHyc//AXvMk0bs8/45e+xZcMa1Jbl9O1NnjFme2GPSKg1nPF5wRI2VnFlw0/ZLfj1xrmXDtw9TRyJYbdoXe1YrO2IAc9+3wXzcHpNWC/ZoN0mqjdoj70LNd1ypUTCXFnLncVWzXzvzui9mLpdjH9bG7bV1X7xgM+IOIAAAQGRoAAEAACJDAwgAABAZGkAAAIDI0AACAABEhgYQAAAgMjSAAAAAkaEBBAAAiAwNIAAAQGRoAAEAACJDAwgAABAZsoDnQDL6LiWpLWcx6bXna7YW7XmjkrSs0meuHax0usa+oN+ewdu7Zq1r7BXd9hzJjs4e19gdy+35pO2tvtdDhXb7XApFX/5lUrEHpabOTNCk4dvO0LDn9TY6fcdVOmrPGS4UfVmzSW3KXJvnFdfYnlMzb2SusZNW+2U5yXyX8KTcYa7N6qddY2fVM676tNU+l7TqzOudtOdAZ3JkXUtqlG2575IUpnxZwJ5zLeTO+zdhwlyaTbe6hm5kp8y1tcyR1ytpetL+vWe6bt/fmW9pmhJ3AAEAACJDAwgAABAZGkAAAIDI0AACAABEhgYQAAAgMjSAAAAAkaEBBAAAiAwNIAAAQGRoAAEAACJDAwgAABAZouDmQNJXVFKwRcHliT1yqhh8EV8trcPm2r7KKtfYg31vN9f29r7TNXb7Uvs+6ehc7hq75Eg0KnX6Xg+1ONLDci1xjZ02hs21hdIK19jVZMhVnxXa7HOZtp0HZ+UVezxVPm2PUZSkTPZYraLs0XuSlBROmmtDmy9mrjGVm2vTgi8eL63bx84avm8PafBF3tWn7dFxxdQevyZJ9XDcXJvXJ11jN5Jh+9gNX5xnfdIekzbZ8J1rmWN5pjNfdGVt2h69N5nYo90kaWrKft5n457j217brLgDCAAAEJmmbQAfe+wxXXvttRocHFSSJPrOd74z6+vXX3+9kiSZ9bjiiisWZrIAAADnUdM2gBMTE7r00ku1Z8+e16350Ic+pGPHjs08HnroofM4QwAAgIXRtO8B3LJli7Zs2fKGNZVKRf39/edpRgAAAG8NTXsH0GLfvn3q7e3VhRdeqM985jM6ceLEG9ZXq1WNjo7OegAAACw20TaAW7Zs0T//8z/rBz/4gf7yL/9SBw8e1NVXX61qtfq6f2f37t3q7u6eeaxa5ftNWgAAgLeCpv0R8Ju57rrrZv5/3bp1Wr9+vVavXq0HH3xQW7duPeff2blzp3bs2DHz59HRUZpAAACw6ETbAL7awMCAVq9ereeff/51ayqViioV32d6AQAAvNVE+yPgVzt16pSOHj2qgYGBhZ4KAADAvGraO4Dj4+P68Y9/PPPnI0eO6KmnnlJPT496enq0a9cufexjH9PAwIBeeOEFffWrX9Xy5cv10Y9+dAFnDQAAMP+atgF84okndNVVV838+ex797Zt26Y777xThw8f1j333KPh4WENDAzoqquu0v3336/Ozs6FmjIAAMB50bQN4KZNmxTC6+d7fv/735/Dfy2VZMtlTDJ7ZmKp5Muo7C7YMxZ7O325nb3L7XmzS1Z2uMZu6+w21xY67ftPkkqyZ4gWfdGaSgr2rNmKM2s2L9szRBPZ83QlqZDZs30lKa/Z5x4yX3515jgfCm2+LODCpP39uoWGb94hs69PNlF3jZ0Wl5hrG9lp19jBsZZKfe8Qyir280GS8ob9GjQ16TvGs7TdXNuo+a6FedV+k6BeG3aNPTVtn0sje9E1drVu3yf1YV/28tiUfX3GX55yjT08bL9eZZOv/yker5aTBcx7AAEAAGJDAwgAABAZGkAAAIDI0AACAABEhgYQAAAgMjSAAAAAkaEBBAAAiAwNIAAAQGRoAAEAACJDAwgAABCZpo2CO5+yMK0QbDlilTZ79FVLucc1j/6uVnPt8valrrG7Bu3zbmvvc41d6bYfhmnFF1FUchziqXzRe4XE/vqpWPbFgalhj8fLKyddQ4cxXwSSJ+ArDb5YrUJmj3fLvZerfNRcGrTENXRwjF0o+l5nN+qOfViyx91JUl6yn8eZ85DN676Ir+A4lRvyHVe1+rh9HlVfzNy07GPnNXs0mSTVJuxjT0wvd4090Thlrj0z4TvXTo/boxRPTvuuP+NVe+zi1Ii9Ns+IguMOIAAAQGRoAAEAACJDAwgAABAZGkAAAIDI0AACAABEhgYQAAAgMjSAAAAAkaEBBAAAiAwNIAAAQGRoAAEAACJDAwgAABAZsoDnQKVRUmrMAu4s2gMwV5V8WcAD7SvMtS0Dq1xjpyv6zbWhLfjGbrMfhsW0xTW2Unu+b5L5Xg8luT0lt1joco3dKNrzSZO8wzV2veOMq17D9u1MK/ZMUEmqj9mzaQsFX65qqNqzsUPiSTyWkpL9PA65fRslKRTt9WnNl2eaOwJ+88SeqypJteCbS2Hcds2UpHrZd02pTtjPn6xun4ck1fM2e+3Yy66xp2r2a+FIzXcenx5x1NYcxZJOvGw/f05P+bKXp4btc0lyew59kvvypZsRdwABAAAiQwMIAAAQGRpAAACAyNAAAgAARIYGEAAAIDI0gAAAAJGhAQQAAIgMDSAAAEBkaAABAAAiQwMIAAAQGaLg5kChpaZCwRYn1J0sN4+7ouiLP+rqscekFbt98WFJodNcW2j4oq9UdcRqtfuGzlNHrFZmn4ckFZIpc22W+8ZOC/Z5Z8EXaZQH+1pKUr1hj/jKasOusdNSzVybT/uOq7Rrmb14yneuZbk9Psy38lIjt0feZTX7/pOk1BGnV6v6oveyhj0iTZKqwR7xVRv3rU892K+z9doLvrFl3+eTvuXR+LR9n5+e8O2T4459eNyX1qbTdXvs4vAxX8xcfdR+XNXO2K/Jee6LLmxG3AEEAACIDA0gAABAZGgAAQAAIkMDCAAAEBkaQAAAgMjQAAIAAESGBhAAACAyNIAAAACRoQEEAACIDA0gAABAZGgAAQAAIkMW8BwohHYVgm1XdqphHnd50uWaR3fPgLk2qdhzgyWplttDLVvqvtcVWcGeZZs6MiclKZSG7fMIvuzT6lTJXNtqL5UkBUeAbHC+jgt1XwZmkk7baxPf+tRb7Jm6hTDmGjubtG9n7tnhkkLVcf4EX7BqIXXMu+G7hE9n9rHDtC9jul4/46rPHBnTtdx+3ZSk6sSoubZedw3tyved8Bwnks4Mv2SuPX6m4ht7wj7xoQl7pq4kDZ2eNNeOjPn2STZqv0ak7Y7zOE+kU66pNB3uAAIAAESmaRvA3bt36z3veY86OzvV29urj3zkI3ruuedm1YQQtGvXLg0ODqq1tVWbNm3SM888s0AzBgAAOD+atgHcv3+/brjhBh04cEB79+5Vo9HQ5s2bNTHxfz+Oue2223T77bdrz549OnjwoPr7+3XNNddobMz3oyYAAIDFpGnfA/jwww/P+vNdd92l3t5eHTp0SO9///sVQtAdd9yhm2++WVu3bpUk3X333err69O9996rz372swsxbQAAgHnXtHcAX21kZESS1NPTI0k6cuSIhoaGtHnz5pmaSqWiK6+8Uo8//vg5x6hWqxodHZ31AAAAWGyiaABDCNqxY4fe+973at26dZKkoaEhSVJfX9+s2r6+vpmvvdru3bvV3d0981i1atX8ThwAAGAeRNEA3njjjXr66af1L//yL6/5WpLM/rXxEMJrnjtr586dGhkZmXkcPXp0XuYLAAAwn5r2PYBn3XTTTfrud7+rxx57TCtXrpx5vr+/X9LP7wQODPzf5+edOHHiNXcFz6pUKqpUfJ+9BAAA8FbTtHcAQwi68cYb9e1vf1s/+MEPtGbNmllfX7Nmjfr7+7V3796Z52q1mvbv36+NGzee7+kCAACcN017B/CGG27Qvffeq3/7t39TZ2fnzPv6uru71draqiRJtH37dt1yyy1au3at1q5dq1tuuUVtbW361Kc+tcCzBwAAmD9N2wDeeeedkqRNmzbNev6uu+7S9ddfL0n6yle+oqmpKX3hC1/QmTNndPnll+uRRx5RZ2en698KrRWFom1XVkr2m65Lyr4opkpH2Vybdvpu/tYK9vieybovRqhU7bYXt/hitRoFz4/sx11jl3N7RFrDEcElSXlmjz9qJL55Z6nvuMobwV6b+o6rfMQe8ZXV7ce3JAV12GvDMdfYed0eOVVMfNFXU7l97ZP6CdfYeXDErzkjA2u+cmXT9ujFetW39tMFe/bimO+SovEp+zE7Nmm/RkjS8Kg9SvH0iO88/p9x+4Yed34U7shL9vO+NjnsGrs2ar/+pOV3mGvz3Lf/mlHTNoAhvPlBkySJdu3apV27ds3/hAAAAN4imvY9gAAAADg3GkAAAIDI0AACAABEhgYQAAAgMjSAAAAAkaEBBAAAiAwNIAAAQGRoAAEAACJDAwgAABAZGkAAAIDING0U3PlUCHUVDNFzktRabDeP21K050JKUlv7oLm21L3CNbYSe25iI625hq5P2+uLBXtOqiSpaj/Es8STGyxNyp7z2dbwzduekirljtxTSaqNtbnqM9lzb0PtpG/sumO/ZPYMVkmark+aa9Pgy/9OshFzbd2ZA62aPbO1kfku4ZnjJX9jypeVOhV85302bV/PqaovX3xyyr7Px6r241uSTo/Zz/uxSd815eTpU+balx3zkKSXR+yZ4cdOdrnGHp2wr30+4jvXCrLvw1BzZHrn9ozhZsUdQAAAgMjQAAIAAESGBhAAACAyNIAAAACRoQEEAACIDA0gAABAZGgAAQAAIkMDCAAAEBkaQAAAgMjQAAIAAESGBhAAACAyZAHPgYJaVTDuylCy7/Ji4sy91Rlz5XTa4xu6bs8nLVR92af1kj2TMZnyzbtQdOTkZr7s0yS3Z4hOV325nXVHTGUoOjNy5cts9eT7NiZ8c8kL9mzsMDHqHNt+/lQnfcdswbH2Ydp5PuT27NNGw5eRGxL7XKYmX3aNXc985+bEmH19xhz5yJI0OnzaXDud+87NM6fsx/hw3ZczfGLMvj4vnfJmGC8310687Duuplsd+eK5b+ySI4s8aR10zCOTNOaaS7PhDiAAAEBkaAABAAAiQwMIAAAQGRpAAACAyNAAAgAARIYGEAAAIDI0gAAAAJGhAQQAAIgMDSAAAEBkaAABAAAiQxTcHMjz40oyW6xRLbNH1UyP2+OMJOnkGXvEV2frCdfYaXHAXNtRGXeNXZ+yR0ItXTLiGjsU7BFSRV+yktK8bK6tZ1XX2Mm0PQ4sJL6xQ+aLVKtOt5prk+CL1apO2mO1cnW5xtaUfTuT2qRr6OnUfsyGsnN/j9mPq+qkLy6yWvPEF/oi7Mamhl31U6P269u4MwpufNK+z8+c8UVAjtbs59tpZ9LYyRH7NfzlcXtEoySdGrPHYiayRzRKkhwxjcWC/XoiSVnRcS2ctl9PQvAd382IO4AAAACRoQEEAACIDA0gAABAZGgAAQAAIkMDCAAAEBkaQAAAgMjQAAIAAESGBhAAACAyNIAAAACRoQEEAACIDA0gAABAZMgCngO1iRalBVsm51jBnvX4UltwzaMxac/LnDpjz4WUpGI+Za6dLPe4xp5uf85eW13mGrs1azHXVgq+eacle+5tIXPmTpbtaxnqzjzYybqrPjheJ2aZPYtTkiYdc0kdx6AkTdUd+9CZ2Zq12P9CfcKXjT05al/PrGa/nkjStCMHemLKl787Oe77djIxZc/gnXjZdy083bDnzY6e9C3+6Tb7cTh6wnc+nDptr58Kna6x6y85MnXbhl1jF8ftYzc6XEOrktjXJ3PkDIecLOCmvQO4e/duvec971FnZ6d6e3v1kY98RM89N7vRuP7665UkyazHFVdcsUAzBgAAOD+atgHcv3+/brjhBh04cEB79+5Vo9HQ5s2bNTEx+1Xthz70IR07dmzm8dBDDy3QjAEAAM6Ppv0R8MMPPzzrz3fddZd6e3t16NAhvf/97595vlKpqL+//3xPDwAAYME07R3AVxsZGZEk9fTMfp/Xvn371NvbqwsvvFCf+cxndOLEiYWYHgAAwHnTtHcAXymEoB07dui9732v1q1bN/P8li1b9PGPf1yrV6/WkSNH9LWvfU1XX321Dh06pErltW9qrVarqlarM38eHbW/oRoAAOCtIooG8MYbb9TTTz+tH/7wh7Oev+6662b+f926dVq/fr1Wr16tBx98UFu3bn3NOLt379af/MmfzPt8AQAA5lPT/wj4pptu0ne/+109+uijWrly5RvWDgwMaPXq1Xr++efP+fWdO3dqZGRk5nH06NH5mDIAAMC8ato7gCEE3XTTTXrggQe0b98+rVmz5k3/zqlTp3T06FENDAyc8+uVSuWcPxoGAABYTJr2DuANN9ygf/qnf9K9996rzs5ODQ0NaWhoSFNTP/8Qz/HxcX35y1/Wf/7nf+qFF17Qvn37dO2112r58uX66Ec/usCzBwAAmD9NewfwzjvvlCRt2rRp1vN33XWXrr/+ehUKBR0+fFj33HOPhoeHNTAwoKuuukr333+/Ojt9n7AOAACwmDRtAxjCG0cHtba26vvf//7c/GPJpJTY4pvGG/b4o+PVxDeN46fMteOJL1arMNlurm1t9UUrjZftDff4sC/6qmNy0FxbqPje01ku2fdJIt8+CcEeU9Rw3sfPcl88lRr2ueS16psXvcJ0fsw+DUd0mCTVHYd4fdz3G/1pvWyunXZE0knSdM0e05hnvli/qamXzLXjjnlI0uioL1prwrFfxk77zvvT9f8x146O2eMiJWnkjD2WbnjotGvs2rR9H9azSdfYod2+nqVp3z6pV+zrU5L93JGkLF/qmIg9nlO+dMGm1LQ/AgYAAMC50QACAABEhgYQAAAgMjSAAAAAkaEBBAAAiAwNIAAAQGRoAAEAACJDAwgAABAZGkAAAIDI0AACAABEhgYQAAAgMk2bBXw+TU3XlKa2Xnokt2csvhSGXPOonn7OXFt2ZORKUlun/bVCpeLLehxtW2auXeaLqFRL/bi5ttDR6xu8ZMt/lqRy3ZeRq+DIgc59Oam5Mbd6pr5uzw6u1RxZnJKqwX5chWlfXm9I7WHA2bDvtXAjtWe81pzrUx2zZ3pP1n1ZwNOT9kv+ZG3ENfboKd95P5bZs51HTtv3iSSdqXeZaydePukae3zSflxVM995X5y2r0+W+7LiCyX7cdiQLwc6KXTYizNfDr0S+zEeOu3XtpAnku8QbzrcAQQAAIgMDSAAAEBkaAABAAAiQwMIAAAQGRpAAACAyNAAAgAARIYGEAAAIDI0gAAAAJGhAQQAAIgMDSAAAEBkiIKbA7VkTGli66WHq53mcRNHTJYkjb7wP+baQos9ykqS2spLzLUtLcE19pIl9qifkQ57fJQktU7YI4pKXb5YrUKLPSKtGHzRSnJEqiXGGMKzMufLvjzYI6Sy+rhr7HrDfglKar5YremaPSorzyZcY2c1+3FYz3LX2BNT9rlMVyd9Y1ft+3B8dMw19siY/XyQpMlxe/2ZSXukoyRlU/ZIsKmaL6ovOKIR84LvZMsr9mMlyXy5mGniONcqvnMtqdv3YbHkazsaBft5XHC1NL7vJc2IO4AAAACRoQEEAACIDA0gAABAZGgAAQAAIkMDCAAAEBkaQAAAgMjQAAIAAESGBhAAACAyNIAAAACRoQEEAACIDA0gAABAZMgCngPZdEW5MY81L06Zx/3ZuC9DNIzZM3hDecQ1djmzz7ur5ZRr7KWtL9hrO5e7xm5bttRe23XMNXaLIx85L/tyhj3xvoXUl72cV33HVUOOLGA5x84deaY13z5sBHuWba3W6hq7lr1srs2qvvWZqtpzbCer9vNSkoYbJ821tVHfvMcnfHm91Wn7doaTZdfYWW5f+1C2z0OS0ka7ubbUesY1djJlPx9CyZllm3WZSwsN33HVKDsuWJmv7SgWHHnX044s8tx3fDcj7gACAABEhgYQAAAgMjSAAAAAkaEBBAAAiAwNIAAAQGRoAAEAACJDAwgAABAZGkAAAIDI0AACAABEhgYQAAAgMkTBzYFC0qE0McYJjdpjtfLWxDWPrGSPeQrT9qgkSRqrTptrxyd9MUInU3tcUtfLzri2M/Z92NG+xjd2yb6WhZZ3uMZW4ai9tlpyDZ2UffXVgj0qK6nbj0FJqtc7zLVZ8M07r9vjDqdqvqixerBHTk1O2LdRkrIp+zFeKzmiryRNOU7NwqT9nJekRt0XqZYEx/Wt5IuuzDN7pFphatg1dlpuM9fWHLF+klSuLDHXllJfFFyjeNpR6zsfEsepmTium5KU1uz7MC85ruF5JulHrrk0G+4AAgAARKZpG8A777xTl1xyibq6utTV1aUNGzboe9/73szXQwjatWuXBgcH1draqk2bNumZZ55ZwBkDAACcH03bAK5cuVK33nqrnnjiCT3xxBO6+uqr9eEPf3imybvtttt0++23a8+ePTp48KD6+/t1zTXXaGzM96NRAACAxaZpG8Brr71Wv/Vbv6ULL7xQF154of78z/9cHR0dOnDggEIIuuOOO3TzzTdr69atWrdune6++25NTk7q3nvvXeipAwAAzKumbQBfKcsy3XfffZqYmNCGDRt05MgRDQ0NafPmzTM1lUpFV155pR5//PHXHadarWp0dHTWAwAAYLFp6gbw8OHD6ujoUKVS0ec+9zk98MADuuiiizQ0NCRJ6uvrm1Xf19c387Vz2b17t7q7u2ceq1atmtf5AwAAzIembgDf9a536amnntKBAwf0+c9/Xtu2bdOzzz478/Ukmf0xBCGE1zz3Sjt37tTIyMjM4+hRx0d1AAAAvEU09ecAlstlvfOd75QkrV+/XgcPHtQ3vvEN/dEf/ZEkaWhoSAMDAzP1J06ceM1dwVeqVCqqVCrzO2kAAIB51tR3AF8thKBqtao1a9aov79fe/funflarVbT/v37tXHjxgWcIQAAwPxr2juAX/3qV7VlyxatWrVKY2Njuu+++7Rv3z49/PDDSpJE27dv1y233KK1a9dq7dq1uuWWW9TW1qZPfepTCz11AACAedW0DeDx48f16U9/WseOHVN3d7cuueQSPfzww7rmmmskSV/5ylc0NTWlL3zhCzpz5owuv/xyPfLII+rs7DT/GyEESVKeOyJ5Qj4fpf9b7xk7+Mb2TMYxD0kKss8ld46dZ/a4qSxzRisl9vrQqLvGVnDMpeGLDExSZ8RgsK9P0vDtw6zRcMzDN+/cMZfcufa5Y328Y8/reew4fYJj3X+ResdpL7nHttd7rj8/H9ozto/nOuu6Jsu3nZ5jUJLrmu8dO8/t532Q45r8v9+33cdtE0lCzFv/S/rZz37GbwIDALBIHT16VCtXrlzoaSwIGsBfQp7neumll9TZ2Tnrt4dHR0e1atUqHT16VF1dXQs4w/kTwzZKbGcziWEbJbazmcSwjdLCbGcIQWNjYxocHFSaRvXrEDOa9kfA50Oapm/4yuFsDnEzi2EbJbazmcSwjRLb2Uxi2Ebp/G9nd3f3efu33oribHsBAAAiRgMIAAAQGRrAeVCpVPT1r3+9qT80OoZtlNjOZhLDNkpsZzOJYRuleLbzrYZfAgEAAIgMdwABAAAiQwMIAAAQGRpAAACAyNAAAgAARIYGcI5985vf1Jo1a9TS0qLLLrtM//Ef/7HQU5pTu3btUpIksx79/f0LPa1f2mOPPaZrr71Wg4ODSpJE3/nOd2Z9PYSgXbt2aXBwUK2trdq0aZOeeeaZhZnsL+jNtvH6669/zdpeccUVCzPZX8Lu3bv1nve8R52dnert7dVHPvIRPffcc7NqFvt6WraxGdbzzjvv1CWXXDLzAcEbNmzQ9773vZmvL/Z1POvNtrMZ1vLVdu/erSRJtH379pnnmmU9FwsawDl0//33a/v27br55pv15JNP6n3ve5+2bNmiF198caGnNqfe/e5369ixYzOPw4cPL/SUfmkTExO69NJLtWfPnnN+/bbbbtPtt9+uPXv26ODBg+rv79c111yjsbGx8zzTX9ybbaMkfehDH5q1tg899NB5nOHc2L9/v2644QYdOHBAe/fuVaPR0ObNmzUxMTFTs9jX07KN0uJfz5UrV+rWW2/VE088oSeeeEJXX321PvzhD880BYt9Hc96s+2UFv9avtLBgwf1rW99S5dccsms55tlPReNgDnzG7/xG+Fzn/vcrOd+9Vd/NfzxH//xAs1o7n39618Pl1566UJPY15JCg888MDMn/M8D/39/eHWW2+deW56ejp0d3eHv/mbv1mAGf7yXr2NIYSwbdu28OEPf3hB5jOfTpw4ESSF/fv3hxCacz1fvY0hNO96Ll26NPz93/99U67jK53dzhCaay3HxsbC2rVrw969e8OVV14ZvvjFL4YQmvO8fKvjDuAcqdVqOnTokDZv3jzr+c2bN+vxxx9foFnNj+eff16Dg4Nas2aNPvGJT+gnP/nJQk9pXh05ckRDQ0Oz1rZSqejKK69surXdt2+fent7deGFF+ozn/mMTpw4sdBT+qWNjIxIknp6eiQ153q+ehvPaqb1zLJM9913nyYmJrRhw4amXEfptdt5VrOs5Q033KDf/u3f1gc/+MFZzzfrer6VFRd6As3i5MmTyrJMfX19s57v6+vT0NDQAs1q7l1++eW65557dOGFF+r48eP6sz/7M23cuFHPPPOMli1bttDTmxdn1+9ca/vTn/50IaY0L7Zs2aKPf/zjWr16tY4cOaKvfe1ruvrqq3Xo0KFF+wn9IQTt2LFD733ve7Vu3TpJzbee59pGqXnW8/Dhw9qwYYOmp6fV0dGhBx54QBdddNFMU9As6/h62yk1z1red999+u///m8dPHjwNV9rtvNyMaABnGNJksz6cwjhNc8tZlu2bJn5/4svvlgbNmzQO97xDt19993asWPHAs5s/jX72l533XUz/79u3TqtX79eq1ev1oMPPqitW7cu4Mx+cTfeeKOefvpp/fCHP3zN15plPV9vG5tlPd/1rnfpqaee0vDwsP71X/9V27Zt0/79+2e+3izr+HrbedFFFzXFWh49elRf/OIX9cgjj6ilpeV165plPRcDfgQ8R5YvX65CofCau30nTpx4zSuaZtLe3q6LL75Yzz///EJPZd6c/S3n2NZ2YGBAq1evXrRre9NNN+m73/2uHn30Ua1cuXLm+WZaz9fbxnNZrOtZLpf1zne+U+vXr9fu3bt16aWX6hvf+EZTraP0+tt5LotxLQ8dOqQTJ07osssuU7FYVLFY1P79+/VXf/VXKhaLM2vWLOu5GNAAzpFyuazLLrtMe/funfX83r17tXHjxgWa1fyrVqv60Y9+pIGBgYWeyrxZs2aN+vv7Z61trVbT/v37m3ptT506paNHjy66tQ0h6MYbb9S3v/1t/eAHP9CaNWtmfb0Z1vPNtvFcFut6vloIQdVqtSnW8Y2c3c5zWYxr+YEPfECHDx/WU089NfNYv369fu/3fk9PPfWU3v72tzf1er4lLdAvnzSl++67L5RKpfAP//AP4dlnnw3bt28P7e3t4YUXXljoqc2ZL33pS2Hfvn3hJz/5SThw4ED4nd/5ndDZ2bnot3FsbCw8+eST4cknnwySwu233x6efPLJ8NOf/jSEEMKtt94auru7w7e//e1w+PDh8MlPfjIMDAyE0dHRBZ653Rtt49jYWPjSl74UHn/88XDkyJHw6KOPhg0bNoS3ve1ti2obQwjh85//fOju7g779u0Lx44dm3lMTk7O1Cz29XyzbWyW9dy5c2d47LHHwpEjR8LTTz8dvvrVr4Y0TcMjjzwSQlj863jWG21ns6zlubzyt4BDaJ71XCxoAOfYX//1X4fVq1eHcrkcfv3Xf33WxzI0g+uuuy4MDAyEUqkUBgcHw9atW8Mzzzyz0NP6pT366KNB0mse27ZtCyH8/CMKvv71r4f+/v5QqVTC+9///nD48OGFnbTTG23j5ORk2Lx5c1ixYkUolUrhggsuCNu2bQsvvvjiQk/b7VzbKCncddddMzWLfT3fbBubZT1///d/f+Z6umLFivCBD3xgpvkLYfGv41lvtJ3Nspbn8uoGsFnWc7FIQgjh/N1vBAAAwELjPYAAAACRoQEEAACIDA0gAABAZGgAAQAAIkMDCAAAEBkaQAAAgMjQAAIAAESGBhAAACAyNIAAAACRoQEEAACIDA0gAABAZGgAAQAAIkMDCAAAEBkaQAAAgMjQAAIAAESGBhAAACAyNIAAAACRoQEEAACIDA0gAABAZGgAAQAAIkMDCAAAEBkaQAAAgMjQAAIAAESGBhAAACAyNIAAAACRoQEEAACIDA0gAABAZGgAAQAAIkMDCAAAEBkaQAAAgMjQAAIAAESGBhAAACAyNIAAAACRoQEEAACIDA0gAABAZGgAAQAAIkMDCAAAEJn/H9/cJOdUZXGpAAAAAElFTkSuQmCC' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Calibrate data to white and dark references\n",
    "\n",
    "calibrated_data = pcv.hyperspectral.calibrate(raw_data=spectral_array, white_reference=white_ref, dark_reference=dark_ref)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "7190c1b4-6fd9-4956-aa6a-f6250d7560f8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "1e6cdd747bce422d99ab0f4bb1339f8f",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
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       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Calculate the Carotenoid Index from the datacube \n",
    "\n",
    "index_array_car  = pcv.spectral_index.psri(hsi=calibrated_data, distance=5)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "9ec1bc07-1152-49c9-a087-721505d1e5c2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "2952b00f501f466a8d64885819ee948a",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Next step is to segment the target object from the background pixels\n",
    "#This step is just to aid in picking a changel with good constrast between the target object and background\n",
    "\n",
    "colorspace_img = pcv.visualize.colorspaces(rgb_img=calibrated_data.pseudo_rgb)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "16bbc962-bdf3-4f2f-a59a-84c4a0621c0e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "088c12ea872a4dbea7213b35b12ae78f",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#In this example the l channel from LAB colorspace looks like it has good contrast.\n",
    "#Alternatively instead of using the pseudo_rgb image you could calculate an index from the hyperspectral values by\n",
    "# using the 'pcv.spectral_index' function and finding an index that has good seperation between object and background\n",
    "# then thresholding like this pipeline does\n",
    "\n",
    "l = pcv.rgb2gray_lab(rgb_img=calibrated_data.pseudo_rgb, channel='l')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "873e50f2-7271-4e63-944c-04ba6b6372b9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "dd4b48c55fef4dffa4f0f0445c4496a2",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "#plot histogram of data to more easily select a threshold. \n",
    "# Please note this step would not be included in a workflow when run in parallel\n",
    "\n",
    "hist_figure1= pcv.visualize.histogram(l, bins=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "b6088eb2-f385-4ca8-9e1f-49636c6290e1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "14a7f578f43140b2a256717f2606e20f",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img src='data:image/png;base64,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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Select a threshold value that isolates your target object well. If necessary do additional steps to clean up the mask.\n",
    "\n",
    "corn_thresh = pcv.threshold.binary(gray_img=l, threshold=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "2bd4aafa-3228-4c83-8265-d4d354a8e81d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<style>\n",
       "  #altair-viz-e400aae3b7a547c5b80caff2fc35ff47.vega-embed {\n",
       "    width: 100%;\n",
       "    display: flex;\n",
       "  }\n",
       "\n",
       "  #altair-viz-e400aae3b7a547c5b80caff2fc35ff47.vega-embed details,\n",
       "  #altair-viz-e400aae3b7a547c5b80caff2fc35ff47.vega-embed details summary {\n",
       "    position: relative;\n",
       "  }\n",
       "</style>\n",
       "<div id=\"altair-viz-e400aae3b7a547c5b80caff2fc35ff47\"></div>\n",
       "<script type=\"text/javascript\">\n",
       "  var VEGA_DEBUG = (typeof VEGA_DEBUG == \"undefined\") ? {} : VEGA_DEBUG;\n",
       "  (function(spec, embedOpt){\n",
       "    let outputDiv = document.currentScript.previousElementSibling;\n",
       "    if (outputDiv.id !== \"altair-viz-e400aae3b7a547c5b80caff2fc35ff47\") {\n",
       "      outputDiv = document.getElementById(\"altair-viz-e400aae3b7a547c5b80caff2fc35ff47\");\n",
       "    }\n",
       "    const paths = {\n",
       "      \"vega\": \"https://cdn.jsdelivr.net/npm/vega@5?noext\",\n",
       "      \"vega-lib\": \"https://cdn.jsdelivr.net/npm/vega-lib?noext\",\n",
       "      \"vega-lite\": \"https://cdn.jsdelivr.net/npm/vega-lite@5.8.0?noext\",\n",
       "      \"vega-embed\": \"https://cdn.jsdelivr.net/npm/vega-embed@6?noext\",\n",
       "    };\n",
       "\n",
       "    function maybeLoadScript(lib, version) {\n",
       "      var key = `${lib.replace(\"-\", \"\")}_version`;\n",
       "      return (VEGA_DEBUG[key] == version) ?\n",
       "        Promise.resolve(paths[lib]) :\n",
       "        new Promise(function(resolve, reject) {\n",
       "          var s = document.createElement('script');\n",
       "          document.getElementsByTagName(\"head\")[0].appendChild(s);\n",
       "          s.async = true;\n",
       "          s.onload = () => {\n",
       "            VEGA_DEBUG[key] = version;\n",
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       "          };\n",
       "          s.onerror = () => reject(`Error loading script: ${paths[lib]}`);\n",
       "          s.src = paths[lib];\n",
       "        });\n",
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       "\n",
       "    function showError(err) {\n",
       "      outputDiv.innerHTML = `<div class=\"error\" style=\"color:red;\">${err}</div>`;\n",
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       "    function displayChart(vegaEmbed) {\n",
       "      vegaEmbed(outputDiv, spec, embedOpt)\n",
       "        .catch(err => showError(`Javascript Error: ${err.message}<br>This usually means there's a typo in your chart specification. See the javascript console for the full traceback.`));\n",
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       "\n",
       "    if(typeof define === \"function\" && define.amd) {\n",
       "      requirejs.config({paths});\n",
       "      require([\"vega-embed\"], displayChart, err => showError(`Error loading script: ${err.message}`));\n",
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       "      maybeLoadScript(\"vega\", \"5\")\n",
       "        .then(() => maybeLoadScript(\"vega-lite\", \"5.8.0\"))\n",
       "        .then(() => maybeLoadScript(\"vega-embed\", \"6\"))\n",
       "        .catch(showError)\n",
       "        .then(() => displayChart(vegaEmbed));\n",
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\"value\": 0.553859441394494, \"label\": 1042.169}, {\"sample\": \"kernel1\", \"value\": 0.5519991250010198, \"label\": 1043.419}, {\"sample\": \"kernel1\", \"value\": 0.5455552148469113, \"label\": 1044.669}, {\"sample\": \"kernel1\", \"value\": 0.5473880487979418, \"label\": 1045.919}, {\"sample\": \"kernel1\", \"value\": 0.5482797644348951, \"label\": 1047.17}, {\"sample\": \"kernel1\", \"value\": 0.5437429803212624, \"label\": 1048.421}]}}, {\"mode\": \"vega-lite\"});\n",
       "</script>"
      ],
      "text/plain": [
       "alt.FacetChart(...)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Look at a histogram of the hyperspectral data, if you had more than one object you would need a matrix with \n",
    "# each object labeled with a different value.\n",
    "\n",
    "spectral_hist  = pcv.analyze.spectral_reflectance(hsi=calibrated_data, labeled_mask=corn_thresh, n_labels=1, label=\"kernel\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "8b409dd2-f9c5-41d1-a80d-5df3e735d98a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "adb9c1b453754729955768e811cccc8e",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Calculate an index (many are available see plantcv.spectral_index)\n",
    "# Or you can calculate your own manually by using plantcv.hyperspectral.extract_wavelength\n",
    "ndvi_index  = pcv.spectral_index.ndvi(hsi=calibrated_data, distance=20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "745ded87-0b48-49f5-9e2c-d4480478c6f1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<style>\n",
       "  #altair-viz-0754a44752bd4c789f5ea292b7be7893.vega-embed {\n",
       "    width: 100%;\n",
       "    display: flex;\n",
       "  }\n",
       "\n",
       "  #altair-viz-0754a44752bd4c789f5ea292b7be7893.vega-embed details,\n",
       "  #altair-viz-0754a44752bd4c789f5ea292b7be7893.vega-embed details summary {\n",
       "    position: relative;\n",
       "  }\n",
       "</style>\n",
       "<div id=\"altair-viz-0754a44752bd4c789f5ea292b7be7893\"></div>\n",
       "<script type=\"text/javascript\">\n",
       "  var VEGA_DEBUG = (typeof VEGA_DEBUG == \"undefined\") ? {} : VEGA_DEBUG;\n",
       "  (function(spec, embedOpt){\n",
       "    let outputDiv = document.currentScript.previousElementSibling;\n",
       "    if (outputDiv.id !== \"altair-viz-0754a44752bd4c789f5ea292b7be7893\") {\n",
       "      outputDiv = document.getElementById(\"altair-viz-0754a44752bd4c789f5ea292b7be7893\");\n",
       "    }\n",
       "    const paths = {\n",
       "      \"vega\": \"https://cdn.jsdelivr.net/npm/vega@5?noext\",\n",
       "      \"vega-lib\": \"https://cdn.jsdelivr.net/npm/vega-lib?noext\",\n",
       "      \"vega-lite\": \"https://cdn.jsdelivr.net/npm/vega-lite@5.8.0?noext\",\n",
       "      \"vega-embed\": \"https://cdn.jsdelivr.net/npm/vega-embed@6?noext\",\n",
       "    };\n",
       "\n",
       "    function maybeLoadScript(lib, version) {\n",
       "      var key = `${lib.replace(\"-\", \"\")}_version`;\n",
       "      return (VEGA_DEBUG[key] == version) ?\n",
       "        Promise.resolve(paths[lib]) :\n",
       "        new Promise(function(resolve, reject) {\n",
       "          var s = document.createElement('script');\n",
       "          document.getElementsByTagName(\"head\")[0].appendChild(s);\n",
       "          s.async = true;\n",
       "          s.onload = () => {\n",
       "            VEGA_DEBUG[key] = version;\n",
       "            return resolve(paths[lib]);\n",
       "          };\n",
       "          s.onerror = () => reject(`Error loading script: ${paths[lib]}`);\n",
       "          s.src = paths[lib];\n",
       "        });\n",
       "    }\n",
       "\n",
       "    function showError(err) {\n",
       "      outputDiv.innerHTML = `<div class=\"error\" style=\"color:red;\">${err}</div>`;\n",
       "      throw err;\n",
       "    }\n",
       "\n",
       "    function displayChart(vegaEmbed) {\n",
       "      vegaEmbed(outputDiv, spec, embedOpt)\n",
       "        .catch(err => showError(`Javascript Error: ${err.message}<br>This usually means there's a typo in your chart specification. See the javascript console for the full traceback.`));\n",
       "    }\n",
       "\n",
       "    if(typeof define === \"function\" && define.amd) {\n",
       "      requirejs.config({paths});\n",
       "      require([\"vega-embed\"], displayChart, err => showError(`Error loading script: ${err.message}`));\n",
       "    } else {\n",
       "      maybeLoadScript(\"vega\", \"5\")\n",
       "        .then(() => maybeLoadScript(\"vega-lite\", \"5.8.0\"))\n",
       "        .then(() => maybeLoadScript(\"vega-embed\", \"6\"))\n",
       "        .catch(showError)\n",
       "        .then(() => displayChart(vegaEmbed));\n",
       "    }\n",
       "  })({\"config\": {\"view\": {\"continuousWidth\": 300, \"continuousHeight\": 300, \"stroke\": null}, \"axis\": {\"grid\": false}, \"facet\": {\"columns\": 1, \"spacing\": 0}, \"title\": {\"anchor\": \"end\"}}, \"data\": {\"name\": \"data-083dbd02bf2c68862ae189885f500b4d\"}, \"facet\": {\"field\": \"sample\", \"header\": {\"labelAngle\": 0, \"labelAlign\": \"left\", \"labelOrient\": \"left\"}, \"title\": null, \"type\": \"nominal\"}, \"spec\": {\"mark\": {\"type\": \"area\", \"fillOpacity\": 0.8, \"interpolate\": \"monotone\", \"stroke\": \"lightgray\", \"strokeWidth\": 0.5}, \"encoding\": {\"x\": {\"field\": \"label\", \"title\": \"Bin labels\", \"type\": \"quantitative\"}, \"y\": {\"axis\": null, \"field\": \"value\", \"scale\": {\"range\": [10, -100]}, \"type\": \"quantitative\"}}, \"height\": 10, \"width\": 500}, \"bounds\": \"flush\", \"$schema\": \"https://vega.github.io/schema/vega-lite/v5.8.0.json\", \"datasets\": {\"data-083dbd02bf2c68862ae189885f500b4d\": 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0.6500000000000001}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": 0.67}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": 0.69}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": 0.71}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": 0.73}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": 0.75}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": 0.77}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": 0.79}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": 0.81}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": 0.8300000000000001}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": 0.8500000000000001}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": 0.8700000000000001}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": 0.8900000000000001}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": 0.91}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": 0.9299999999999999}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": 0.95}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": 0.97}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": 0.99}]}}, {\"mode\": \"vega-lite\"});\n",
       "</script>"
      ],
      "text/plain": [
       "alt.FacetChart(...)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Graph the histogram of the spectral index\n",
    "\n",
    "ndvi_output=pcv.analyze.spectral_index(index_img=ndvi_index, labeled_mask=corn_thresh,\n",
    "                           min_bin=-1, max_bin=1, label=\"kernel\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "3bc307da-72cd-4787-8df6-b58f84a66bde",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "4248796b27d34f2ab65905b92e7bae4e",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# pseudocolor the image as a visualization\n",
    "\n",
    "ndvi_img = pcv.visualize.pseudocolor(gray_img = ndvi_index.array_data, mask=corn_thresh, cmap='jet', \n",
    "                                           min_value=-1, max_value=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "f75e6bc2-7329-4f27-beed-d159350f67c4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "780ce3dd253f4610b3354a64d2f475a2",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Calculate an index (many are available see plantcv.spectral_index)\n",
    "# Or you can calculate your own manually by using plantcv.hyperspectral.extract_wavelength\n",
    "ari_index  = pcv.spectral_index.ari(hsi=calibrated_data, distance=20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "e194b941-bf6b-43b2-9e32-85573f85947d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<style>\n",
       "  #altair-viz-62ea5c6d6569446188e0578b4e406cd0.vega-embed {\n",
       "    width: 100%;\n",
       "    display: flex;\n",
       "  }\n",
       "\n",
       "  #altair-viz-62ea5c6d6569446188e0578b4e406cd0.vega-embed details,\n",
       "  #altair-viz-62ea5c6d6569446188e0578b4e406cd0.vega-embed details summary {\n",
       "    position: relative;\n",
       "  }\n",
       "</style>\n",
       "<div id=\"altair-viz-62ea5c6d6569446188e0578b4e406cd0\"></div>\n",
       "<script type=\"text/javascript\">\n",
       "  var VEGA_DEBUG = (typeof VEGA_DEBUG == \"undefined\") ? {} : VEGA_DEBUG;\n",
       "  (function(spec, embedOpt){\n",
       "    let outputDiv = document.currentScript.previousElementSibling;\n",
       "    if (outputDiv.id !== \"altair-viz-62ea5c6d6569446188e0578b4e406cd0\") {\n",
       "      outputDiv = document.getElementById(\"altair-viz-62ea5c6d6569446188e0578b4e406cd0\");\n",
       "    }\n",
       "    const paths = {\n",
       "      \"vega\": \"https://cdn.jsdelivr.net/npm/vega@5?noext\",\n",
       "      \"vega-lib\": \"https://cdn.jsdelivr.net/npm/vega-lib?noext\",\n",
       "      \"vega-lite\": \"https://cdn.jsdelivr.net/npm/vega-lite@5.8.0?noext\",\n",
       "      \"vega-embed\": \"https://cdn.jsdelivr.net/npm/vega-embed@6?noext\",\n",
       "    };\n",
       "\n",
       "    function maybeLoadScript(lib, version) {\n",
       "      var key = `${lib.replace(\"-\", \"\")}_version`;\n",
       "      return (VEGA_DEBUG[key] == version) ?\n",
       "        Promise.resolve(paths[lib]) :\n",
       "        new Promise(function(resolve, reject) {\n",
       "          var s = document.createElement('script');\n",
       "          document.getElementsByTagName(\"head\")[0].appendChild(s);\n",
       "          s.async = true;\n",
       "          s.onload = () => {\n",
       "            VEGA_DEBUG[key] = version;\n",
       "            return resolve(paths[lib]);\n",
       "          };\n",
       "          s.onerror = () => reject(`Error loading script: ${paths[lib]}`);\n",
       "          s.src = paths[lib];\n",
       "        });\n",
       "    }\n",
       "\n",
       "    function showError(err) {\n",
       "      outputDiv.innerHTML = `<div class=\"error\" style=\"color:red;\">${err}</div>`;\n",
       "      throw err;\n",
       "    }\n",
       "\n",
       "    function displayChart(vegaEmbed) {\n",
       "      vegaEmbed(outputDiv, spec, embedOpt)\n",
       "        .catch(err => showError(`Javascript Error: ${err.message}<br>This usually means there's a typo in your chart specification. See the javascript console for the full traceback.`));\n",
       "    }\n",
       "\n",
       "    if(typeof define === \"function\" && define.amd) {\n",
       "      requirejs.config({paths});\n",
       "      require([\"vega-embed\"], displayChart, err => showError(`Error loading script: ${err.message}`));\n",
       "    } else {\n",
       "      maybeLoadScript(\"vega\", \"5\")\n",
       "        .then(() => maybeLoadScript(\"vega-lite\", \"5.8.0\"))\n",
       "        .then(() => maybeLoadScript(\"vega-embed\", \"6\"))\n",
       "        .catch(showError)\n",
       "        .then(() => displayChart(vegaEmbed));\n",
       "    }\n",
       "  })({\"config\": {\"view\": {\"continuousWidth\": 300, \"continuousHeight\": 300, \"stroke\": null}, \"axis\": {\"grid\": false}, \"facet\": {\"columns\": 1, \"spacing\": 0}, \"title\": {\"anchor\": \"end\"}}, \"data\": {\"name\": \"data-418726d6ef603520a32bd57fee9f2ac7\"}, \"facet\": {\"field\": \"sample\", \"header\": {\"labelAngle\": 0, \"labelAlign\": \"left\", \"labelOrient\": \"left\"}, \"title\": null, \"type\": \"nominal\"}, \"spec\": {\"mark\": {\"type\": \"area\", \"fillOpacity\": 0.8, \"interpolate\": \"monotone\", \"stroke\": \"lightgray\", \"strokeWidth\": 0.5}, \"encoding\": {\"x\": {\"field\": \"label\", \"title\": \"Bin labels\", \"type\": \"quantitative\"}, \"y\": {\"axis\": null, \"field\": \"value\", \"scale\": {\"range\": [10, -100]}, \"type\": \"quantitative\"}}, \"height\": 10, \"width\": 500}, \"bounds\": \"flush\", \"$schema\": \"https://vega.github.io/schema/vega-lite/v5.8.0.json\", \"datasets\": {\"data-418726d6ef603520a32bd57fee9f2ac7\": [{\"sample\": \"kernel1\", \"value\": 0.0, \"label\": -4.95}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": -4.85}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": -4.75}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": -4.65}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": -4.55}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": -4.45}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": -4.35}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": -4.25}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": -4.15}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": -4.05}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": -3.95}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": -3.8499999999999996}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": -3.75}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": -3.65}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": -3.55}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": -3.45}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": -3.3499999999999996}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": -3.25}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": -3.15}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": -3.05}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": -2.95}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": -2.8499999999999996}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": -2.75}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": -2.6499999999999995}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": -2.55}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": -2.45}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": -2.3499999999999996}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": -2.25}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": -2.1499999999999995}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": -2.05}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": -1.95}, {\"sample\": 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2.8500000000000005}, {\"sample\": \"kernel1\", \"value\": 0.12345679012345678, \"label\": 2.95}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": 3.05}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": 3.1500000000000004}, {\"sample\": \"kernel1\", \"value\": 0.24691358024691357, \"label\": 3.250000000000001}, {\"sample\": \"kernel1\", \"value\": 0.12345679012345678, \"label\": 3.3500000000000005}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": 3.45}, {\"sample\": \"kernel1\", \"value\": 0.12345679012345678, \"label\": 3.55}, {\"sample\": \"kernel1\", \"value\": 0.12345679012345678, \"label\": 3.6500000000000004}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": 3.750000000000001}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": 3.8500000000000005}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": 3.95}, {\"sample\": \"kernel1\", \"value\": 0.12345679012345678, \"label\": 4.05}, {\"sample\": \"kernel1\", \"value\": 0.12345679012345678, \"label\": 4.15}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": 4.250000000000001}, {\"sample\": \"kernel1\", \"value\": 0.12345679012345678, \"label\": 4.3500000000000005}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": 4.45}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": 4.550000000000001}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": 4.650000000000001}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": 4.750000000000001}, {\"sample\": \"kernel1\", \"value\": 0.12345679012345678, \"label\": 4.8500000000000005}, {\"sample\": \"kernel1\", \"value\": 0.0, \"label\": 4.95}]}}, {\"mode\": \"vega-lite\"});\n",
       "</script>"
      ],
      "text/plain": [
       "alt.FacetChart(...)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Graph the histogram of the spectral index\n",
    "\n",
    "ari_output=pcv.analyze.spectral_index(index_img=ari_index, labeled_mask=corn_thresh,\n",
    "                           min_bin=-5, max_bin=5, label=\"kernel\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "3b15ffe1-60a5-44d3-a55f-8cca78a577b1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "119f3176860d492faa560eba2b9f2728",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ari_img = pcv.visualize.pseudocolor(gray_img = ari_index.array_data, mask=corn_thresh, cmap='jet', \n",
    "                                           min_value=-5, max_value=5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "4c72b159-f24b-4376-bc20-4ff44ee47a86",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "b384e923d12e4b31bea1aaf1114d2ec8",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "810.0\n"
     ]
    }
   ],
   "source": [
    "#Do shape analysis (the output image will look a little strange because the image is so small)\n",
    "\n",
    "shape_image = pcv.analyze.size(img=calibrated_data.pseudo_rgb, labeled_mask=corn_thresh, n_labels=1, label=\"kernel\")\n",
    "\n",
    "#print out results just to see (this wouldn't be included in a workflow run in parallel)\n",
    "area = pcv.outputs.observations['kernel1']['area']['value']\n",
    "print(area)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "99bd3d40-f1d8-4ce9-9a05-754a9a3f836d",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Save out the results\n",
    "\n",
    "pcv.outputs.save_results(filename =args.result, outformat = \"csv\" )"
   ]
  }
 ],
 "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": "3.11.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}