{
 "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": 7,
   "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": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_trajectory(df):\n",
    "    plt.figure(figsize=(6, 4))\n",
    "    plt.plot(df[\"x\"], -df[\"y\"], \"o-\", label=\"Cleaned Trajectory\", markersize=5)\n",
    "    plt.xlabel(\"X Coordinate\")\n",
    "    plt.ylabel(\"Y Coordinate\")\n",
    "    plt.title(\"Cleaned Ball Trajectory\")\n",
    "    plt.legend()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_trajectories(raw_df, cleaned_df):\n",
    "    # Create a figure with two subplots side by side\n",
    "    fig, axes = plt.subplots(1, 2, figsize=(12, 4))\n",
    "\n",
    "    # Plot the original (raw) data on the left subplot\n",
    "    axes[0].plot(raw_df[\"x\"], -raw_df[\"y\"], \"o-\", label=\"Trajectory\", markersize=5)\n",
    "    axes[0].set_title(\"Previous Ball Trajectory\")\n",
    "    axes[0].set_xlabel(\"X Coordinate\")\n",
    "    axes[0].set_ylabel(\"Y Coordinate\")\n",
    "    axes[0].legend()\n",
    "\n",
    "    # Plot the cleaned data on the right subplot\n",
    "    axes[1].plot(\n",
    "        cleaned_df[\"x\"], -cleaned_df[\"y\"], \"o-\", label=\"Trajectory\", markersize=5\n",
    "    )\n",
    "    axes[1].set_title(\"Processed Ball Trajectory\")\n",
    "    axes[1].set_xlabel(\"X Coordinate\")\n",
    "    axes[1].set_ylabel(\"Y Coordinate\")\n",
    "    axes[1].legend()\n",
    "\n",
    "    # Adjust layout for better appearance\n",
    "    plt.tight_layout()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_comparison(df, df_cleaned):\n",
    "    # Create a mask identifying outlier rows (i.e. those with NaN in x or y in the cleaned version)\n",
    "    outlier_mask = df_cleaned[[\"x\", \"y\"]].isna().any(axis=1)\n",
    "\n",
    "    # Create a figure with two side-by-side subplots\n",
    "    fig, axes = plt.subplots(1, 2, figsize=(12, 4))\n",
    "\n",
    "    # Plot 1: Original Data with Outliers Highlighted\n",
    "    # Plot valid points from the original data (non-outliers)\n",
    "    axes[0].plot(\n",
    "        df.loc[~outlier_mask, \"x\"],\n",
    "        -df.loc[~outlier_mask, \"y\"],\n",
    "        \"o-\",\n",
    "        label=\"Valid Points\",\n",
    "        color=\"blue\",\n",
    "        markersize=5,\n",
    "    )\n",
    "    # Overlay the outliers in red\n",
    "    axes[0].plot(\n",
    "        df.loc[outlier_mask, \"x\"],\n",
    "        -df.loc[outlier_mask, \"y\"],\n",
    "        \"o\",\n",
    "        label=\"Outliers\",\n",
    "        color=\"red\",\n",
    "        markersize=5,\n",
    "    )\n",
    "    axes[0].set_xlabel(\"X Coordinate\")\n",
    "    axes[0].set_ylabel(\"Y Coordinate\")\n",
    "    axes[0].set_title(\"Original Points with Outliers Highlighted\")\n",
    "    axes[0].legend()\n",
    "\n",
    "    # Plot 2: Cleaned Data\n",
    "    # Plot only the non-NaN points from the cleaned DataFrame (which are the valid ones)\n",
    "    valid_cleaned = df_cleaned.dropna(subset=[\"x\", \"y\"])\n",
    "    axes[1].plot(\n",
    "        valid_cleaned[\"x\"],\n",
    "        -valid_cleaned[\"y\"],\n",
    "        \"o-\",\n",
    "        label=\"Cleaned Trajectory\",\n",
    "        color=\"green\",\n",
    "        markersize=5,\n",
    "    )\n",
    "    axes[1].set_xlabel(\"X Coordinate\")\n",
    "    axes[1].set_ylabel(\"Y Coordinate\")\n",
    "    axes[1].set_title(\"Cleaned Points Only\")\n",
    "    axes[1].legend()\n",
    "\n",
    "    plt.tight_layout()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Clean the points before a certain frame and after another one"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def remove_custom_outliers(df):\n",
    "    df = df.copy()\n",
    "    condition_coord = (df[\"x\"] < 900) & (\n",
    "        df[\"y\"] > -700\n",
    "    )  # Change this with what I know about the starting point of the ball\n",
    "    condition_radius = (df[\"radius\"] < 38) & (\n",
    "        df[\"radius\"] > 82\n",
    "    )  # Change this with what I know about the radius of the ball\n",
    "    df.loc[condition_coord | condition_radius, [\"x\", \"y\", \"radius\"]] = np.nan\n",
    "    return df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1200x400 with 2 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",
    "    / \"notebook\"\n",
    "    / \"ball_detection\"\n",
    "    / \"intermediate_data\"\n",
    "    / \"Circle_positions_raw_2.csv\"\n",
    ")\n",
    "df = pd.read_csv(CSV_POSITIONS_FILE_PATH)\n",
    "\n",
    "df_resized = remove_custom_outliers(df)\n",
    "plot_comparison(df, df_resized)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Post-processing on the points removing the outliers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "def remove_outliers_local(df, window, threshold):\n",
    "    df = df.copy()\n",
    "\n",
    "    # Calculate the rolling median for each coordinate (centered window)\n",
    "    median_x = df[\"x\"].rolling(window=window, center=True, min_periods=1).median()\n",
    "    median_y = df[\"y\"].rolling(window=window, center=True, min_periods=1).median()\n",
    "\n",
    "    # Compute the Euclidean distance from the local median for each point\n",
    "    diff = np.sqrt((df[\"x\"] - median_x) ** 2 + (df[\"y\"] - median_y) ** 2)\n",
    "\n",
    "    # Flag points where the difference exceeds the threshold\n",
    "    outliers = diff > threshold\n",
    "\n",
    "    # Optionally, you can print or log which frames are flagged:\n",
    "    print(\"Outlier frames:\", df[outliers][\"frame\"].values)\n",
    "\n",
    "    # Set outlier coordinates to NaN\n",
    "    df.loc[outliers, [\"x\", \"y\", \"radius\"]] = np.nan\n",
    "\n",
    "    return df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Outlier frames: [ 44  49  50  51  52 113 115 116 117 118 119 120 121 135 142]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Example usage\n",
    "df_cleaned = remove_outliers_local(df_resized, window=15, threshold=30)\n",
    "plot_comparison(df_resized, df_cleaned)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "def median_filter(df, kernel_size=5):\n",
    "    df = df.copy()\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",
    "    df = df[\n",
    "        df[\"x\"] > 0\n",
    "    ]  # Because I had the problem witht he point 0,0 (I don't know why)\n",
    "    df = df[df[\"y\"] > 0]\n",
    "    return df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "def Savitzky_Golay_filter(df, window_length=25, polyorder=1):\n",
    "    df = df.copy()\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",
    "    # 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": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "def interpolate_missing_coordinates(df):\n",
    "    # Copy and set \"frame\" as the index\n",
    "    df = df.copy().set_index(\"frame\")\n",
    "\n",
    "    # Create a new index that includes all frames from first to last\n",
    "    full_index = range(df.index.min(), df.index.max() + 1)\n",
    "    df_full = df.reindex(full_index)\n",
    "\n",
    "    # Interpolate 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",
    "    # Reset index to bring the \"frame\" column back\n",
    "    df_full = df_full.reset_index().rename(columns={\"index\": \"frame\"})\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": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 2 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_trajectories(df_cleaned, df_interpolated)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Save the smoothed and interpolated data\n",
    "OUTPUT_CSV_PATH = str(\n",
    "    PROJECT_ROOT\n",
    "    / \"data\"\n",
    "    / \"auxiliary_data\"\n",
    "    / \"circle_positions\"\n",
    "    / \"Circle_positions_processed_2.csv\"\n",
    ")\n",
    "df_interpolated.to_csv(OUTPUT_CSV_PATH, index=False)\n",
    "\n",
    "# Save cleaned data\n",
    "OUTPUT_CSV_PATH = str(\n",
    "    PROJECT_ROOT\n",
    "    / \"notebook\"\n",
    "    / \"ball_detection\"\n",
    "    / \"intermediate_data\"\n",
    "    / \"Circle_positions_cleaned_2.csv\"\n",
    ")\n",
    "df_cleaned.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?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Do not do the interpolation with this data but with the data reconstructed on the lane reconstruction!!!"
   ]
  }
 ],
 "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
}
