{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Calibration overview\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "An image of the sky contains counts from several sources. The task of data\n",
    "reduction (another name for image calibration) is to remove all non-celestial\n",
    "counts from the image and to correct for non-uniform sensitivity.\n",
    "\n",
    "At the end of the previous notebook we arrived at an expression for the counts\n",
    "in a science image in terms of the sources of counts:\n",
    "\n",
    "$$\n",
    "\\text{raw image} = \\text{bias} + \\text{noise} + \\text{dark current} + \\text{flat} \\times (\\text{sky} + \\text{stars}).\n",
    "$$\n",
    "\n",
    "Solving for the counts just from the stars is as follows:\n",
    "\n",
    "$$\n",
    "\\text{stars} + \\text{noise} = \\frac{\\text{raw image} - \\text{bias} - \\text{dark current}}{\\text{flat}} - \\text{sky}\n",
    "$$\n",
    "\n",
    "**It is *impossible* to remove the noise from the raw image because the noise is\n",
    "random.**\n",
    "\n",
    "The dark current is typically calculated from a *dark frame* (aka dark image).\n",
    "Such an image has bias and read noise in it as well, so:\n",
    "\n",
    "$$\n",
    "\\text{dark current} + \\text{noise} = (\\text{dark frame} - \\text{bias})/(\\text{dark exposure time})\n",
    "$$\n",
    "\n",
    "Once again, note that the noise cannot be removed."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Огляд калібрування\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Астрономічні зображення мають декілька джерел сигналу. Задача обробки даних (калібрування зображення) -- прибрати увесь сигнал що надходить не від об'єкту спостереження і виправити нерівтомірну чутливість.\n",
    "\n",
    "$$\n",
    "\\text{зображення} = \\text{напруга зсуву} + \\text{шум} + \\text{темновий струм} + \\text{кадр чутливості} \\times (\\text{небо} + \\text{зорі})\n",
    "$$\n",
    "\n",
    "Переставляємо рівняння аби порахувати сигнал від зір:\n",
    "\n",
    "$$\n",
    "\\text{зорі} + \\text{шум} = \\frac{\\text{зображення} - \\text{напруга зсуву} - \\text{темновий струм}}{\\text{кадр чутливості}} - \\text{небо}\n",
    "$$\n",
    "\n",
    "**Шум прибрати з зображення *неможливо* оскільки шум зчитування випадковий (random).**\n",
    "\n",
    "Темновий струм розраховується з *темнового кадру*. Таке зображення також має напругу зсуву та шум зчитування.\n",
    "Отже:\n",
    "\n",
    "$$\n",
    "\\text{темновий струм} + \\text{шум} = (\\text{темновий кадр} - \\text{напруга зсуву})/(\\text{час витримки})\n",
    "$$\n",
    "\n",
    "Знову ж таки, шум прибрати неможливо"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## This noise cannot be removed from CCD images\n",
    "\n",
    "To demonstrate that you cannot remove the noise from an image, let's construct\n",
    "an image with just stars and noise and try to subtract a noise image created\n",
    "with the same parameters. The amount of noise here is exaggerated to make it\n",
    "clear in the images."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Цей шум неможливо прибрати з зображень ПЗЗ\n",
    "\n",
    "Аби продемонструвати що шум неможливо прибрати з зображення, давайте створимо зображення лише\n",
    "з зірками та шумом та спробуємо відняти кадр з тільки шумом з однаковими параметрами. Кількість шуму\n",
    "у цьому випадку перебільшена аби його було добре видно у зображеннях."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: AstropyDeprecationWarning: block_reduce was moved to the astropy.nddata.blocks module.  Please update your import statement. [astropy.nddata.utils]\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "%matplotlib inline\n",
    "from matplotlib import pyplot as plt\n",
    "\n",
    "from astropy.visualization import hist\n",
    "from astropy.stats import histogram\n",
    "\n",
    "import image_sim as imsim\n",
    "from convenience_functions import show_image"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Use custom style for larger fonts and figures\n",
    "plt.style.use('guide.mplstyle')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### First, some stars with noise\n",
    "\n",
    "The image below shows stars (the larger \"blobs\" in the image) but shows quite a\n",
    "bit of noise as well (the much smaller \"dots\")."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Зображення з зорями та шумом\n",
    "\n",
    "Зображення ничже має зірки (великі \"кругляшки\" у зображенні), але також багато шуму (набагато менші \"крапки\")."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Зорі та шум')"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x1000 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "image = np.zeros([2000, 2000])\n",
    "gain = 1.0\n",
    "noise_amount = 1500 \n",
    "\n",
    "stars_with_noise = imsim.stars(image, 50, max_counts=2000, fwhm=10) + imsim.read_noise(image, noise_amount, gain=gain)\n",
    "\n",
    "show_image(stars_with_noise, cmap='gray', percu=99.9)\n",
    "plt.title('Зорі та шум') # Звучить як назва пісні"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Now an *incorrect* attempt at reducing noise\n",
    "\n",
    "Notice that the call to the noise function has exactly the same arguments as\n",
    "above, in much the same way your camera's electronics will have the same noise\n",
    "properties every time you read out an image.\n",
    "\n",
    "However, the amount of noise has **increased**, not decreased. It's much harder\n",
    "to pick out the stars in this image."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### *Неправильний* спосіб зменшити шум\n",
    "\n",
    "Незважаючи на те що другий кадр шуму згенерований з такими самими параметрами як і перший\n",
    "можна помітити що віднявши цей кадр від попереднього зображення кількість шуму **збільшується**!\n",
    "Більшість зір тепер не помітні на зображенні.\n",
    "\n",
    "Хоча шум мав такі самі параметри, він був випадково згенерований, так як і у камері, отже ми не можемо \n",
    "просто відняти його з зображення."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x1000 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "incorrect_attempt_to_remove_noise = stars_with_noise - imsim.read_noise(image, noise_amount, gain=gain)\n",
    "\n",
    "show_image(incorrect_attempt_to_remove_noise, cmap='gray', percu=99.9)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Every image has noise\n",
    "\n",
    "Every image, including calibration images like bias and dark frames, has noise.\n",
    "If we tried to calibrate images by taking a single bias image and a single dark\n",
    "image, the final result might well look worse than before the image is reduced.\n",
    "\n",
    "For demonstration, we'll see what happens below.\n",
    "\n",
    "Note that here we construct *realistic* bias and dark, but leave read noise out\n",
    "of the flat; we'll return to that point later."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### First, set parameters for the CCD\n",
    "\n",
    "These are the same as in the previous notebook, except for the read noise, which\n",
    "is 700$e-$, 100 times larger than in the previous notebook."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "gain = 1.0\n",
    "star_exposure = 30.0\n",
    "dark_exposure = 60.0\n",
    "dark = 0.1\n",
    "sky_counts = 20\n",
    "bias_level = 1100\n",
    "read_noise_electrons = 700\n",
    "max_star_counts = 2000"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Generate the images, with noise"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "bias_with_noise = (imsim.bias(image, bias_level, realistic=True) + \n",
    "                   imsim.read_noise(image, read_noise_electrons, gain=gain))\n",
    "\n",
    "dark_frame_with_noise = (imsim.bias(image, bias_level, realistic=True) + \n",
    "                         imsim.dark_current(image, dark, dark_exposure, gain=gain, hot_pixels=True) +\n",
    "                         imsim.read_noise(image, read_noise_electrons, gain=gain))\n",
    "\n",
    "flat = imsim.sensitivity_variations(image)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "realistic_stars = (imsim.stars(image, 50, max_counts=max_star_counts) +\n",
    "                   imsim.dark_current(image, dark, star_exposure, gain=gain, hot_pixels=True) +\n",
    "                   imsim.bias(image, bias_level, realistic=True) +\n",
    "                   imsim.read_noise(image, read_noise_electrons, gain=gain)\n",
    "                  )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Uncalibrated image\n",
    "\n",
    "Below we display the uncalibrated image; in a moment we'll compare it to the\n",
    "calibrated version. Even though they don't stand out there really are stars in\n",
    "it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 1200x1200 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x900 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12, 12))\n",
    "show_image(realistic_stars, cmap='gray', percu=99.9, figsize=(9, 9))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Reduce (calibrate) the star image\n",
    "\n",
    "First we calculate the dark current, scaled to the exposure time of our light\n",
    "image."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "scaled_dark_current = star_exposure * (dark_frame_with_noise - bias_with_noise) / dark_exposure"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next, we subtract the bias and dark current from the star image and then apply\n",
    "the flat correction."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "calibrated_stars = (realistic_stars - bias_with_noise - scaled_dark_current) / flat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x1000 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_image(calibrated_stars, cmap='gray', percu=99.9)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Reducing the image cleans up the image a bit\n",
    "\n",
    "The stars stand more clearly than in the unreduced image.\n",
    "\n",
    "This image does not look *much* better than the uncalibrated image, but remember\n",
    "that the read noise used in this simulated image, 700 $e^-$ per pixel, is\n",
    "unrealistically high."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Reducing the image increases the noise in the image\n",
    "\n",
    "The histogram below shows pixel values before and after calibration. The width\n",
    "of the distribution is a measure of the read noise. As expected, reducing the\n",
    "image increases the read noise. One reason one takes several calibration images\n",
    "of each type is to reduce the amount of noise in the calibration image. That\n",
    "will, in turn, keep the noise in the final image as small as possible."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x900 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(9, 9))\n",
    "hist(calibrated_stars.flatten(), bins='freedman', label='calibrated star image', alpha=0.5)\n",
    "hist(stars_with_noise.flatten(), bins='freedman', label='raw star image', alpha=0.5)\n",
    "plt.legend()\n",
    "plt.grid()\n",
    "plt.xlabel('Count level in image')\n",
    "plt.ylabel('Number of pixels with that count');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "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": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}