{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "7f4cf477",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1200x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import cv2\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from skimage.morphology import skeletonize, thin\n",
    "\n",
    "# =========================\n",
    "# Create synthetic boundary (NOT filled)\n",
    "# =========================\n",
    "img = np.zeros((300, 300), dtype=np.uint8)\n",
    "\n",
    "pts = np.array([\n",
    "    [60,150], [100,120], [150,140], [190,120],\n",
    "    [230,150], [210,200], [160,220], [110,200]\n",
    "], np.int32)\n",
    "\n",
    "pts = pts.reshape((-1,1,2))\n",
    "\n",
    "# Thick boundary (same as segmentation output style)\n",
    "cv2.polylines(img, [pts], isClosed=True, color=255, thickness=12)\n",
    "\n",
    "# =========================\n",
    "# (b) Contour — SAME as your pipeline\n",
    "# =========================\n",
    "contours, _ = cv2.findContours(img, cv2.RETR_EXTERNAL, cv2.CHAIN_APPROX_SIMPLE)\n",
    "\n",
    "contour_img = np.zeros_like(img)\n",
    "cv2.drawContours(contour_img, contours, -1, 255, 1)\n",
    "\n",
    "# =========================\n",
    "# (c) Skeleton — SAME as your pipeline\n",
    "# =========================\n",
    "skel = skeletonize(img.astype(bool)).astype(np.uint8) * 255\n",
    "skel = thin(skel.astype(bool)).astype(np.uint8) * 255\n",
    "\n",
    "# Clean small fragments (optional but good)\n",
    "def remove_small_components(binary_img, min_size=20):\n",
    "    num_labels, labels, stats, _ = cv2.connectedComponentsWithStats(binary_img, connectivity=8)\n",
    "    cleaned = np.zeros_like(binary_img)\n",
    "    for i in range(1, num_labels):\n",
    "        if stats[i, cv2.CC_STAT_AREA] >= min_size:\n",
    "            cleaned[labels == i] = 255\n",
    "    return cleaned\n",
    "\n",
    "skel = remove_small_components(skel, min_size=30)\n",
    "\n",
    "# Thicken skeleton for visibility (ONLY for display)\n",
    "kernel = np.ones((2,2), np.uint8)\n",
    "skel_vis = cv2.dilate(skel, kernel)\n",
    "\n",
    "# =========================\n",
    "# Plot\n",
    "# =========================\n",
    "fig, axs = plt.subplots(1, 3, figsize=(12, 4))\n",
    "\n",
    "# (a) Thick boundary\n",
    "axs[0].imshow(img, cmap='gray')\n",
    "axs[0].set_title(\"(a) Bubble Boundary (Thick)\", fontsize=12)\n",
    "\n",
    "# (b) Contour\n",
    "axs[1].imshow(contour_img, cmap='gray')\n",
    "axs[1].set_title(\"(b) Contour (Thin Boundary)\", fontsize=12)\n",
    "\n",
    "# (c) Skeleton\n",
    "axs[2].imshow(skel_vis, cmap='gray')\n",
    "axs[2].set_title(\"(c) Skeleton (Centerline)\", fontsize=12)\n",
    "\n",
    "for ax in axs:\n",
    "    ax.axis(\"off\")\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"conceptual_pipeline_consistent.png\", dpi=300, bbox_inches='tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "0158f94f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import cv2\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from skimage.morphology import skeletonize, thin\n",
    "\n",
    "# =========================\n",
    "# Create synthetic boundary\n",
    "# =========================\n",
    "img = np.zeros((300, 300), dtype=np.uint8)\n",
    "\n",
    "pts = np.array([\n",
    "    [60,150], [100,120], [150,140], [190,120],\n",
    "    [230,150], [210,200], [160,220], [110,200]\n",
    "], np.int32)\n",
    "\n",
    "pts = pts.reshape((-1,1,2))\n",
    "\n",
    "# Thick boundary\n",
    "cv2.polylines(img, [pts], isClosed=True, color=255, thickness=12)\n",
    "\n",
    "# =========================\n",
    "# Contour (RED)\n",
    "# =========================\n",
    "contours, _ = cv2.findContours(img, cv2.RETR_EXTERNAL, cv2.CHAIN_APPROX_SIMPLE)\n",
    "\n",
    "contour_img = np.zeros_like(img)\n",
    "cv2.drawContours(contour_img, contours, -1, 255, 2)\n",
    "\n",
    "# =========================\n",
    "# Skeleton (GREEN)\n",
    "# =========================\n",
    "skel = skeletonize(img.astype(bool)).astype(np.uint8) * 255\n",
    "skel = thin(skel.astype(bool)).astype(np.uint8) * 255\n",
    "\n",
    "# Clean small fragments\n",
    "def remove_small_components(binary_img, min_size=20):\n",
    "    num_labels, labels, stats, _ = cv2.connectedComponentsWithStats(binary_img, connectivity=8)\n",
    "    cleaned = np.zeros_like(binary_img)\n",
    "    for i in range(1, num_labels):\n",
    "        if stats[i, cv2.CC_STAT_AREA] >= min_size:\n",
    "            cleaned[labels == i] = 255\n",
    "    return cleaned\n",
    "\n",
    "skel = remove_small_components(skel, min_size=30)\n",
    "\n",
    "# Slight dilation for visibility\n",
    "kernel = np.ones((2,2), np.uint8)\n",
    "skel_vis = cv2.dilate(skel, kernel)\n",
    "\n",
    "# =========================\n",
    "# Overlay (SINGLE PANEL)\n",
    "# =========================\n",
    "overlay = np.zeros((300, 300, 3), dtype=np.uint8)\n",
    "\n",
    "# Optional: show boundary faintly in gray\n",
    "overlay[img > 0] = [80, 80, 80]\n",
    "\n",
    "# Contour → RED\n",
    "overlay[contour_img > 0] = [255, 0, 0]\n",
    "\n",
    "# Skeleton → GREEN\n",
    "overlay[skel_vis > 0] = [0, 255, 0]\n",
    "\n",
    "# =========================\n",
    "# Plot\n",
    "# =========================\n",
    "plt.figure(figsize=(6,6))\n",
    "plt.imshow(overlay)\n",
    "plt.title(\"Contour (Red) vs Skeleton (Green)\")\n",
    "plt.axis(\"off\")\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"overlay_single_panel.png\", dpi=300, bbox_inches='tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "88d6fd72",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.10.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}