center_of_masses.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import cv2\n",
    "import json\n",
    "import numpy as np\n",
    "\n",
    "import matplotlib.pyplot as plt\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
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      "(478.72531754664675, 392.9810294576232)\n",
      "(438.318467726696, 390.71643225440704)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n",
      "(480.5, 360.5)\n"
     ]
    }
   ],
   "source": [
    "# calculate the center of mass of every frame\n",
    "\n",
    "coms = {}\n",
    "for i in range(6572):\n",
    "    img = cv2.imread(f\"frames/{i}.png\")\n",
    "    gray = cv2.cvtColor(img, cv2.COLOR_BGR2GRAY)\n",
    "    ret, thresh = cv2.threshold(gray, 1, 255, cv2.THRESH_BINARY)\n",
    "    # find com by taking average of black pixels\n",
    "    x = 0\n",
    "    y = 0\n",
    "    count = 0\n",
    "    for _i in range(thresh.shape[0]):\n",
    "        for j in range(thresh.shape[1]):\n",
    "            if thresh[_i, j] == 0:\n",
    "                x += j\n",
    "                y += _i\n",
    "                count += 1\n",
    "    if count == 0:\n",
    "        coms[i] = (480, 360)\n",
    "        print((480, 360))\n",
    "        continue\n",
    "    x /= count\n",
    "    y /= count\n",
    "    # i dunno why its off by 1\n",
    "    coms[i] = (x + 1, y + 1)\n",
    "    print((x +1, y + 1))\n",
    "\n",
    "with open(\"centerofmasses.json\", \"w\") as f:\n",
    "    json.dump(coms, f)\n",
    "    \n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Top, bottom, left, right: \n",
      "1 478 109 745\n",
      "Percentages:  0.0020833333333333333 0.9958333333333333 0.12763466042154567 0.8723653395784543\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# calculate where the video is in the frame\n",
    "img = cv2.imread(\"frame2203.png\")\n",
    "\n",
    "def crop_all_black_borders(image: np.ndarray):\n",
    "    \"\"\"\n",
    "    The video rendered from main.py has black borders, use this function to crop them out for the integral calculus section\n",
    "    \"\"\"\n",
    "    # i'm just gonna hardcode the values, because contouring was not working\n",
    "    height = image.shape[0]\n",
    "    width = image.shape[1]\n",
    "    # find leftmost column that is not all black\n",
    "    left = 0\n",
    "    for i in range(width):\n",
    "        if np.any(image[:, i] != 0):\n",
    "            left = i + 7\n",
    "            break\n",
    "    # find rightmost column that is not all black\n",
    "    right = width - 1\n",
    "    for i in range(width - 1, -1, -1):\n",
    "        if np.any(image[:, i] != 0):\n",
    "            right = i - 8\n",
    "            break\n",
    "    # find topmost row that is not all black\n",
    "    top = 0\n",
    "    for i in range(height):\n",
    "        if np.any(image[i] != 0):\n",
    "            top = i + 1\n",
    "            break\n",
    "    # find bottommost row that is not all black\n",
    "    bottom = height - 1\n",
    "    for i in range(height - 1, -1, -1):\n",
    "        if np.any(image[i] != 0):\n",
    "            bottom = i -1\n",
    "            break\n",
    "    print(\"Top, bottom, left, right: \")\n",
    "    print(top, bottom,left ,right)\n",
    "    print(\"Percentages: \", top / height, bottom / height, left / width, right / width)\n",
    "    return image[top:bottom, left:right]\n",
    "\n",
    "img = crop_all_black_borders(img)\n",
    "plt.imshow(cv2.cvtColor(img, cv2.COLOR_BGR2RGB))\n",
    "# as opencv loads in BGR format by default, we want to show it in RGB.\n",
    "plt.show()"
   ]
  }
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