{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Detection - **Poste-processing** of circles\n",
    "\n",
    "**Content**\n",
    "\n",
    "- `interpolate`\n",
    "- `savgol_filter`\n",
    "- `curve_fit` of `decreasing_func`\n",
    "\n",
    "Here the idea is that the way in which the size of the ball decreases follows a curve"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from pathlib import Path\n",
    "\n",
    "import pandas as pd\n",
    "from scipy.signal import savgol_filter\n",
    "from scipy.optimize import curve_fit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_radius(df):\n",
    "    plt.figure(figsize=(8, 6))\n",
    "    plt.plot(df[\"frame\"], df[\"radius\"], \"o-\", label=\"Radius\")\n",
    "    plt.xlabel(\"Frame\")\n",
    "    plt.ylabel(\"Radius\")\n",
    "    plt.title(\"Radius over frames\")\n",
    "    plt.legend()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Example usage\n",
    "VIDEO_NUMBER = \"2\"\n",
    "PROJECT_ROOT = Path().resolve().parent.parent\n",
    "# CSV_POSITIONS_FILE_PATH = str(PROJECT_ROOT / \"data\" / \"auxiliary_data\" / \"circle_positions\" / f\"Circle_positions_processed_{VIDEO_NUMBER}.csv\")\n",
    "CSV_POSITIONS_FILE_PATH = str(\n",
    "    PROJECT_ROOT\n",
    "    / \"notebook\"\n",
    "    / \"ball_detection\"\n",
    "    / \"intermediate_data\"\n",
    "    / f\"Circle_positions_raw_{VIDEO_NUMBER}.csv\"\n",
    ")\n",
    "df = pd.read_csv(CSV_POSITIONS_FILE_PATH)\n",
    "\n",
    "plot_radius(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "def decreasing_func(x, a, b, c):\n",
    "    return a * np.exp(-b * x) + c  # Pure exponential decay function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "def process_radius(df):\n",
    "    # Ensure all frames are present\n",
    "    all_frames = pd.DataFrame(\n",
    "        {\"frame\": np.arange(int(df[\"frame\"].min()), int(df[\"frame\"].max()) + 1)}\n",
    "    )\n",
    "    df = pd.merge(all_frames, df, on=\"frame\", how=\"left\")  # Merge to keep all frames\n",
    "\n",
    "    # Interpolate missing radius values\n",
    "    df[\"radius\"] = df[\"radius\"].interpolate(method=\"linear\", limit_direction=\"both\")\n",
    "\n",
    "    # Smooth the radius values\n",
    "    df[\"radius\"] = savgol_filter(\n",
    "        df[\"radius\"], window_length=11, polyorder=2, mode=\"nearest\"\n",
    "    )\n",
    "\n",
    "    # Fit an exponential decreasing function\n",
    "    popt, _ = curve_fit(\n",
    "        decreasing_func,\n",
    "        df[\"frame\"],\n",
    "        df[\"radius\"],\n",
    "        p0=(max(df[\"radius\"]), 0.01, min(df[\"radius\"])),\n",
    "        maxfev=10000,\n",
    "    )\n",
    "    df[\"radius\"] = decreasing_func(df[\"frame\"], *popt)\n",
    "\n",
    "    # Convert radius values to integers\n",
    "    df[\"radius\"] = df[\"radius\"].round().astype(int)\n",
    "\n",
    "    return df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_radius(df, smoothed_df):\n",
    "    plt.figure(figsize=(8, 6))\n",
    "    plt.plot(df[\"frame\"], df[\"radius\"], \"o-\", label=\"Original Radius\", alpha=0.5)\n",
    "    plt.plot(\n",
    "        smoothed_df[\"frame\"],\n",
    "        smoothed_df[\"radius\"],\n",
    "        \"-\",\n",
    "        label=\"Exponential Fit\",\n",
    "        linewidth=2,\n",
    "    )\n",
    "    plt.xlabel(\"frame\")\n",
    "    plt.ylabel(\"Radius\")\n",
    "    plt.title(\"Radius over frames\")\n",
    "    plt.legend()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "smoothed_df = process_radius(df)\n",
    "plot_radius(df, smoothed_df)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "PROBLEM: here the problem is that if we deal with videos in which I have the zoom, the size of the ball does not follow a curve, so we need to use another approach.\n",
    "\n",
    "SOLUTION: use filters and interpolations as I have already used in the Post-processing of the centers (less accurate)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Save cleaned data\n",
    "OUTPUT_CSV_PATH = str(\n",
    "    PROJECT_ROOT\n",
    "    / \"data\"\n",
    "    / \"auxiliary_data\"\n",
    "    / \"circle_positions\"\n",
    "    / f\"Circle_positions_processed_{VIDEO_NUMBER}.csv\"\n",
    ")\n",
    "smoothed_df.to_csv(OUTPUT_CSV_PATH, index=False)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "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": "3.12.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
