{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "decd8bb1",
   "metadata": {},
   "source": [
    "# Post-processing of the axes\n",
    "\n",
    "IDEA:\n",
    "- take the data of the axes\n",
    "- smooth it"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 207,
   "id": "307aef69",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from pathlib import Path\n",
    "from scipy.interpolate import UnivariateSpline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 208,
   "id": "89be207b",
   "metadata": {},
   "outputs": [],
   "source": [
    "VIDEO_NUMBER = \"7\"\n",
    "PROJECT_ROOT = Path().resolve().parent.parent\n",
    "INPUT_CSV_PATH = str(\n",
    "    PROJECT_ROOT\n",
    "    / \"notebook\"\n",
    "    / \"spin\"\n",
    "    / \"intermediate_data\"\n",
    "    / f\"Spin_data_{VIDEO_NUMBER}.csv\"\n",
    ")\n",
    "INPUT_CENTER_PATH = str(\n",
    "    PROJECT_ROOT\n",
    "    / \"notebook\"\n",
    "    / \"ball_detection\"\n",
    "    / \"intermediate_data\"\n",
    "    / f\"Circle_positions_raw_{VIDEO_NUMBER}.csv\"\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 209,
   "id": "23b8c486",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Load data\n",
    "df_spin = pd.read_csv(INPUT_CSV_PATH)\n",
    "df_center = pd.read_csv(INPUT_CENTER_PATH)\n",
    "\n",
    "# Convert to numeric\n",
    "for col in [\"pA_x\", \"pA_y\", \"pB_x\", \"pB_y\"]:\n",
    "    df_spin[col] = pd.to_numeric(df_spin[col], errors=\"coerce\")\n",
    "\n",
    "for col in [\"x\", \"y\", \"radius\"]:\n",
    "    df_center[col] = pd.to_numeric(df_center[col], errors=\"coerce\")\n",
    "\n",
    "# Optionally interpolate to avoid dropping frames (recommended)\n",
    "df_spin[[\"pA_x\", \"pA_y\", \"pB_x\", \"pB_y\"]] = df_spin[\n",
    "    [\"pA_x\", \"pA_y\", \"pB_x\", \"pB_y\"]\n",
    "].interpolate(method=\"linear\")\n",
    "df_center[[\"x\", \"y\", \"radius\"]] = df_center[[\"x\", \"y\", \"radius\"]].interpolate(\n",
    "    method=\"linear\"\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 210,
   "id": "9ac61d33",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Visualize all trajectories\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.plot(df_spin[\"pA_x\"], df_spin[\"pA_y\"], \"ro-\", label=\"Point A\")\n",
    "plt.plot(df_spin[\"pB_x\"], df_spin[\"pB_y\"], \"bo-\", label=\"Point B\")\n",
    "plt.plot(df_center[\"x\"], df_center[\"y\"], \"ko-\", label=\"Ball Center\")\n",
    "\n",
    "# Optional: show radius as circle size\n",
    "for i in range(len(df_center)):\n",
    "    if not np.isnan(df_center.loc[i, \"radius\"]):\n",
    "        circle = plt.Circle(\n",
    "            (df_center.loc[i, \"x\"], df_center.loc[i, \"y\"]),\n",
    "            radius=df_center.loc[i, \"radius\"],\n",
    "            color=\"gray\",\n",
    "            fill=False,\n",
    "            alpha=0.3,\n",
    "        )\n",
    "        plt.gca().add_patch(circle)\n",
    "\n",
    "plt.gca().invert_yaxis()  # Invert y-axis for image coordinate system\n",
    "plt.xlabel(\"X\")\n",
    "plt.ylabel(\"Y\")\n",
    "plt.title(\"Trajectories: Points A, B and Ball Center\")\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.axis(\"equal\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 211,
   "id": "54dabd98",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Load and preprocess spin data\n",
    "df_spin = pd.read_csv(INPUT_CSV_PATH)\n",
    "for col in [\"pA_x\", \"pA_y\", \"pB_x\", \"pB_y\"]:\n",
    "    df_spin[col] = pd.to_numeric(df_spin[col], errors=\"coerce\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 212,
   "id": "003a3cac",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Compute gradient = Δy / Δx for each frame\n",
    "# Avoid division by zero by setting gradient to NaN when Δx==0\n",
    "dx = df_spin[\"pB_x\"] - df_spin[\"pA_x\"]\n",
    "dy = df_spin[\"pB_y\"] - df_spin[\"pA_y\"]\n",
    "df_spin[\"gradient\"] = dy / dx.replace({0: np.nan})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 213,
   "id": "eef64fd1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot gradient vs frame\n",
    "plt.figure(figsize=(10, 4))\n",
    "plt.plot(df_spin[\"frame\"], df_spin[\"gradient\"], \"k.-\")\n",
    "plt.xlabel(\"Frame\")\n",
    "plt.ylabel(\"Gradient (slope) of A→B\")\n",
    "plt.title(\"Frame-by-Frame Gradient of the Axis Line\")\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 214,
   "id": "23032c73",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 2) Compute gradient only on frames where both A and B exist\n",
    "mask_valid = df_spin[[\"pA_x\", \"pA_y\", \"pB_x\", \"pB_y\"]].notna().all(axis=1)\n",
    "dx = df_spin[\"pB_x\"] - df_spin[\"pA_x\"]\n",
    "dy = df_spin[\"pB_y\"] - df_spin[\"pA_y\"]\n",
    "gradient = dy / dx.replace({0: np.nan})\n",
    "gradient[~mask_valid] = np.nan"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 215,
   "id": "e034f28c",
   "metadata": {},
   "outputs": [],
   "source": [
    "# --- sliding-window outlier removal ---\n",
    "window_size = 11  # must be odd\n",
    "mad_thresh = 3.0  # e.g. 3×MAD\n",
    "\n",
    "# 1) compute rolling median of gradient\n",
    "rolling_med = (\n",
    "    df_spin[\"gradient\"].rolling(window=window_size, center=True, min_periods=1).median()\n",
    ")\n",
    "\n",
    "# 2) compute rolling MAD: median of |x - median|\n",
    "rolling_mad = (\n",
    "    df_spin[\"gradient\"]\n",
    "    .rolling(window=window_size, center=True, min_periods=1)\n",
    "    .apply(lambda x: np.median(np.abs(x - np.median(x))), raw=True)\n",
    ")\n",
    "\n",
    "# 3) identify outliers: |g - med| > thresh * MAD\n",
    "is_outlier = np.abs(df_spin[\"gradient\"] - rolling_med) > mad_thresh * rolling_mad\n",
    "\n",
    "# 4) mask them out\n",
    "df_spin[\"gradient_clean\"] = df_spin[\"gradient\"].mask(is_outlier)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 216,
   "id": "4db31ffd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# --- visualize before/after ---\n",
    "plt.figure(figsize=(10, 4))\n",
    "plt.plot(\n",
    "    df_spin[\"frame\"], df_spin[\"gradient\"], \"k.-\", alpha=0.4, label=\"Original gradient\"\n",
    ")\n",
    "plt.plot(df_spin[\"frame\"], df_spin[\"gradient_clean\"], \"r.-\", label=\"Cleaned gradient\")\n",
    "plt.xlabel(\"Frame\")\n",
    "plt.ylabel(\"Gradient of A→B\")\n",
    "plt.title(\"Outlier Removal on Sliding Window\")\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 217,
   "id": "e2604e8a",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 3) Prepare data for fitting\n",
    "x = df_spin.loc[mask_valid, \"frame\"].values\n",
    "y = gradient[mask_valid].values\n",
    "\n",
    "# 4) Fit a spline (you can tweak s for smoothness; smaller s → tighter fit)\n",
    "spline = UnivariateSpline(x, y, s=200)\n",
    "x_fit = np.linspace(x.min(), x.max(), 500)\n",
    "y_fit = spline(x_fit)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 218,
   "id": "5aaa5528",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 5) Plot raw vs. fitted curve\n",
    "plt.figure(figsize=(10, 5))\n",
    "plt.plot(x, y, marker=\".\", linestyle=\"None\", label=\"Raw gradient\")\n",
    "plt.plot(x_fit, y_fit, label=\"Fitted spline\")\n",
    "plt.xlabel(\"Frame\")\n",
    "plt.ylabel(\"Gradient of A→B\")\n",
    "plt.title(\"Gradient vs Frame with Fitted Curve\")\n",
    "plt.grid(True)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 219,
   "id": "fc0feae2",
   "metadata": {},
   "outputs": [],
   "source": [
    "# OUTPUT_CSV_PATH = str(PROJECT_ROOT / \"notebook\" / \"spin\" / \"intermediate_data\" / f\"Spin_data_processed_{VIDEO_NUMBER}.csv\")\n",
    "# df.to_csv(OUTPUT_CSV_PATH, index=False)"
   ]
  }
 ],
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