{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Detection - **Post-processing**\n",
    "\n",
    "**Content**\n",
    "\n",
    "- `clear_outside_frame_range` to remove the background off the track\n",
    "- `remove_outliers`\n",
    "- `interpolate_missing_coordinates` with `median_filter` and `Savitzky_Golay_filter`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "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 medfilt\n",
    "from scipy.signal import savgol_filter"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Auxiliary data and functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_trajectory(df):\n",
    "    plt.figure(figsize=(8, 6))\n",
    "    plt.plot(df[\"X\"], -df[\"Y\"], \"o-\", label=\"Cleaned Trajectory\")\n",
    "    plt.xlabel(\"X Coordinate\")\n",
    "    plt.ylabel(\"Y Coordinate\")\n",
    "    plt.title(\"Cleaned Ball Trajectory\")\n",
    "    plt.legend()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Clean the points before a certain frame and after another one"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [],
   "source": [
    "def clear_outside_frame_range(df, min_frame=50, max_frame=200):\n",
    "    # Set 'X' and 'Y' to NaN for frames outside the specified range\n",
    "    df.loc[(df[\"Frame\"] < min_frame) | (df[\"Frame\"] > max_frame), [\"X\", \"Y\"]] = np.nan\n",
    "    return df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "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",
    "PROJECT_ROOT = Path().resolve().parent.parent\n",
    "CSV_POSITIONS_FILE_PATH = str(\n",
    "    PROJECT_ROOT\n",
    "    / \"data\"\n",
    "    / \"auxiliary_data\"\n",
    "    / \"circle_positions\"\n",
    "    / \"Circle_positions_2.0.csv\"\n",
    ")\n",
    "df = pd.read_csv(CSV_POSITIONS_FILE_PATH)\n",
    "\n",
    "df = clear_outside_frame_range(df)\n",
    "\n",
    "plot_trajectory(df)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Post-processing on the points removing the outliers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [],
   "source": [
    "def remove_outliers(df, threshold=0.1):\n",
    "    # Ensure 'X' and 'Y' are numeric\n",
    "    df[[\"X\", \"Y\"]] = df[[\"X\", \"Y\"]].apply(pd.to_numeric, errors=\"coerce\")\n",
    "\n",
    "    # Compute the distance between consecutive points\n",
    "    dx = df[\"X\"].diff()\n",
    "    dy = df[\"Y\"].diff()\n",
    "    distances = np.sqrt(dx**2 + dy**2)\n",
    "\n",
    "    # Define outlier threshold\n",
    "    median_dist = distances.median()\n",
    "    std_dist = distances.std()\n",
    "    outlier_threshold = median_dist + threshold * std_dist\n",
    "\n",
    "    # Keep only points that are within the threshold\n",
    "    df_cleaned = df[distances <= outlier_threshold].copy().reset_index(drop=True)\n",
    "\n",
    "    # Convert coordinates to integers\n",
    "    df_cleaned[[\"X\", \"Y\"]] = df_cleaned[[\"X\", \"Y\"]].round().astype(int)\n",
    "\n",
    "    return df_cleaned"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "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",
    "df_cleaned = remove_outliers(df)\n",
    "plot_trajectory(df_cleaned)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {},
   "outputs": [],
   "source": [
    "def median_filter(df, kernel_size=5):\n",
    "    \"\"\"\n",
    "    Smooths the X and Y coordinates using a median filter to reduce noise.\n",
    "    \"\"\"\n",
    "    # Apply a median filter to smooth the coordinates (kernel size 5 by default)\n",
    "    df[\"X\"] = medfilt(df[\"X\"], kernel_size=kernel_size)\n",
    "    df[\"Y\"] = medfilt(df[\"Y\"], kernel_size=kernel_size)\n",
    "\n",
    "    return df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [],
   "source": [
    "def Savitzky_Golay_filter(df, window_length=25, polyorder=1):\n",
    "    \"\"\"\n",
    "    Smooths the X and Y coordinates using Savitzky-Golay filter to reduce noise.\n",
    "    \"\"\"\n",
    "    df[\"X\"] = savgol_filter(df[\"X\"], window_length=window_length, polyorder=polyorder)\n",
    "    df[\"Y\"] = savgol_filter(df[\"Y\"], window_length=window_length, polyorder=polyorder)\n",
    "\n",
    "    # Round the smoothed coordinates to integers\n",
    "    df[\"X\"] = df[\"X\"].round().astype(int)\n",
    "    df[\"Y\"] = df[\"Y\"].round().astype(int)\n",
    "\n",
    "    return df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [],
   "source": [
    "def interpolate_missing_coordinates(df, start_frame=50, end_frame=200):\n",
    "    \"\"\"\n",
    "    Interpolate the missing coordinates between the frames from start_frame to end_frame.\n",
    "    Ensures a smooth trajectory by interpolating both X and Y coordinates.\n",
    "    \"\"\"\n",
    "    # Create a DataFrame with all frames from start_frame to end_frame\n",
    "    all_frames = pd.DataFrame({\"Frame\": range(start_frame, end_frame + 1)})\n",
    "\n",
    "    # Merge with the original dataframe\n",
    "    df_full = pd.merge(all_frames, df, on=\"Frame\", how=\"left\")\n",
    "\n",
    "    # Interpolate the missing 'X' and 'Y' coordinates (linear interpolation)\n",
    "    df_full[\"X\"] = df_full[\"X\"].interpolate(method=\"linear\")\n",
    "    df_full[\"Y\"] = df_full[\"Y\"].interpolate(method=\"linear\")\n",
    "\n",
    "    # Fill any remaining NaN values using forward and backward filling\n",
    "    df_full[\"X\"] = df_full[\"X\"].bfill().ffill()\n",
    "    df_full[\"Y\"] = df_full[\"Y\"].bfill().ffill()\n",
    "\n",
    "    # Apply smoothing to ensure a smooth trajectory\n",
    "    df_full = Savitzky_Golay_filter(df_full)\n",
    "\n",
    "    return df_full"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Smooth the trajectory to reduce noise\n",
    "df_smoothed = median_filter(df_cleaned)\n",
    "\n",
    "# Interpolate missing coordinates\n",
    "df_interpolated = interpolate_missing_coordinates(df_smoothed)\n",
    "\n",
    "# Now you can plot the result\n",
    "plot_trajectory(df_interpolated)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Save cleaned data\n",
    "OUTPUT_CSV_PATH = str(\n",
    "    PROJECT_ROOT\n",
    "    / \"data\"\n",
    "    / \"auxiliary_data\"\n",
    "    / \"circle_positions\"\n",
    "    / \"Circle_positions_2_clean.csv\"\n",
    ")\n",
    "df_interpolated.to_csv(OUTPUT_CSV_PATH, index=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "TODO: start and finish detection when the ball enters and exits the track (required track detection). How to know when the ball is arrived at the end?"
   ]
  }
 ],
 "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
}
