{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 01wk-1: 박스플랏, 히스토그램\n", "\n", "최규빈 \n", "2023-09-04\n", "\n", "> 박스플랏, 히스토그램\n", "\n", "\n", "\n", "# 1. 강의영상\n", "\n", "\n", "\n", "# 2. Import" ], "id": "9f3d3ff4-5653-484d-ae3b-6abbf86ac036" }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt \n", "import numpy as np \n", "#!pip install opencv-python\n", "import cv2 " ], "id": "06f7b592-23b9-45df-b14c-37ac74112c1e" }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import matplotlib\n", "matplotlib.rcParams['figure.figsize'] = (3, 2) # 가로 6, 세로 4 크기의 그림\n", "matplotlib.rcParams['figure.dpi'] = 150" ], "id": "cf366d5d-1bbe-44f7-801f-92174dfd3d32" }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 3. Boxplot\n", "\n", "## A. motivating example\n", "\n", "`-` 통계란?\n", "\n", "`-` 평균 좋아해요?\n", "\n", "**`# 예제1` – 전북고등학교: 평균은 좋은 측정값인가?**\n", "\n", "`-` 전북고등학교에서 통계학을 수업하는 A선생님과 B선생님의 있다." ], "id": "99422379-6219-43e8-ae3a-74a62d6c7f56" }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "y1=[75,75,76,76,77,77,78,79,79,98] # A선생님에게 통계학을 배운 학생의 점수들\n", "y2=[76,76,77,77,78,78,79,80,80,81] # B선생님에게 통계학을 배운 학생의 점수들 " ], "id": "e19a341f-dc51-48e4-9f33-b5ebbfbd750a" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` 어떤반이 더 공부를 잘할까?, 누가 더 잘 가르칠까?" ], "id": "b708dbf5-d380-43e7-86bc-936b1383faa4" }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "np.mean(y1)" ], "id": "69dc7415-e354-48e0-9a25-2e6d0a37e474" }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "np.mean(y2)" ], "id": "6996b98c-51b2-4879-b265-5bd0f8c65915" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` 의사결정: A선생님에게 배운 학생들의 평균이 더 높다. -\\> A선생님이 더\n", "강의를 잘 하셨다?\n", "\n", "`-` 반론: 평균은 A반(=A선생님에게 통계학을 배운 반)이 더 높다. 그런데\n", "98점을 받은 학생이 A반에 포함되어서 A반이 전체평균이 높게 나온것이고\n", "나머지 학생들은 전체적으로 B반 학생들이 더 시험을 잘 보았다고 해석할 수\n", "있다.\n", "\n", "`-` 교훈: 단순한 평균비교보다 학생들이 받은 점수의 분포를 비교해보는\n", "것이 중요하다. 분포를 살펴보는 방법 중 유용한 방법이 박스플랏이다.\n", "\n", "`#`\n", "\n", "## B. matplotlib으로 boxplot 그리기\n", "\n", "`-` A반 학생들의 박스플랏 그리기" ], "id": "c24e317e-06df-4fa3-aab6-7c63f9109d60" }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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} } ], "source": [ "plt.boxplot(y1);" ], "id": "3a9362dc-9db4-474d-8a60-c4527f4e2638" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` B반 학생들의 박스플랏 그리기" ], "id": "47226d7d-cac1-4ad5-bc5c-150a7800db9b" }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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58uR69wWDQeXk5EiShgwZUmvf0aNHNWLECBUWFuqKK67QHXfcIUnat2+fPvroI2VnZ6tL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\nAAAAAElFTkSuQmCC\n" } } ], "source": [ "plt.boxplot(y2);" ], "id": "ea643449-906b-4cb5-94b0-d9489e4247ec" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` A반 학생들의 점수와 B반 학생들의 점수를 나란히 박스플랏으로 그리자." ], "id": "e998b8e0-e448-4da8-bc98-7ac83aeb3486" }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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} } ], "source": [ "plt.boxplot([y1,y2]);" ], "id": "8b0e126b-3700-4fb0-90bc-8305c23ded5b" }, { "cell_type": "markdown", "metadata": {}, "source": [ "## C. boxplot이란?\n", "\n", "`-` Galarnyk (2023)\n", "\n", "- " ], "id": "ab56021f-1902-4e47-bef9-460bd611bd54" }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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cubNq1aqVX2EBAFCkkRwDAAAAiogOHTqobdu2+uKLL3Ty5EmrnyUkJGjz5s0a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\n3btXf//9t65cuaLo6GiVKlVKlSpVUv3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gpk+fLkkaPny4qlevbvO5\n//77r6ZOnar7779f9erVU5kyZVSyZEkFBATonnvu0dixY7V79+5cxXXq1CktWbJEI0eOVIcOHVS6\ndGnzBcNiseSqzcIgJiZGW7Zs0ccff6wBAwaofv36cnFxybZTYw8hISFWv0NbbgsXLszVNdavX29T\n/dDQUKvrhYaG2nytmzdv6vvvv9eQIUMUFBSkypUrq0SJEqpUqZIaNWqkJ598Ut99951u3rxpc5tp\n40l7c3NzU/ny5RUYGKgBAwbo22+/VXx8vE1tN2jQQIMGDZIkvfPOOzpz5ozNcQHImeDg4HR/vz/+\n+GOO2vjvf/+bro38fI0GAHsrbJ/zb968qfXr12vSpEl67LHH1LRpU1WsWFGenp7y8PBQxYoV1bp1\na73yyiv6888/c9R2cRAREaG1a9fqvffeU9++fRUQEGD1HjRv3rx8u3ZG75vZ3TZv3pyra9j6eX/9\n+vW57v9FRETo66+/1mOPPaYGDRrIz89PHh4eqlq1qu666y49//zz+uWXX5SYmGhzm2njSXtzd3eX\nr6+vgoKC9OSTT2rlypVKTk62qe2uXbsqODhYkjRy5EhFRUXl6PGiABiFSGBgoBEYGOjoMIqd+++/\n35BkeHt7G1euXLHpnLCwMOP555833NzcDEnZ3rp27WocPHjQprbPnz9vVKhQIds2i6KRI0carq6u\nWT6ucePG5dv1Bw8ebNP/V+rbV199latrrFu3zqb6p06dsrreqVOnsj0nOTnZmDdvnlG9enWbHkP1\n6tWN+fPnG8nJyTmOx5ZbQECAsXHjRpse77Fjx8znQEhIiE3nAMi59u3bp/tb7dOnj83nJyYmGlWq\nVCnQ1+i8GDduXLYxzp0716wzePDgAo0PgGMUts/5kydPztFnrEceecS4evVqXn4FRUb//v0Ni8WS\n5e9j7ty5+Xb9jN43s7tt2rQpV9ew5fO+YRjGunXrctz/i4+PNz766COjfPnyNj2G22+/3fj5559z\nFY8tt6CgIJv/PtauXWueN378eJvOQYqCyBW5CcXali1b9Msvv0iSnnrqKVWoUCHbcw4fPqyuXbta\njXpxc3NTy5Yt5e/vLw8PD50/f15bt25VZGSkpJRhouvXr9c333yj3r17Z9l+XFycrl69modHVXhd\nunRJSUlJjg5DknTvvffq9ttvz7Ze/fr1MzweFxcnV1dXubnZ/jIRFRWlUqVK2Vw/I/Hx8QoJCdGi\nRYusjtetW1cNGzaUr6+vrl69qoMHD+ro0aOSpLNnz2rw4MH67bffNHfuXLm7u9t8vUGDBsnHx8cs\nJyYm6tKlS9qyZYvCwsIkpYw269Kli9auXauWLVtm2V7dunX10EMPacmSJfrqq680atSoTH/HAOxr\nxYoVCg8PV7ly5bKt+/vvv+vChQsFEBUA5I/C+Dk/NS8vL91xxx2qU6eOypYtq8TERJ09e1bbt283\n2168eLEOHz6szZs3q3Tp0jl5+EXOhQsXZBiGo8OQJPXq1UvVqlXLtl7VqlUzPB4TE6OSJUvmaLSX\nPfoJkZGR6tWrl9atW2d1vGHDhqpfv77KlSunS5cu6c8//zSf40eOHNGDDz6o1157Te+++26Orvf8\n889blePj43Xu3Dlt2bJFERERkqT9+/erQ4cO2rZtm+rUqZNlex06dFDz5s21c+dOTZkyRS+88ILK\nly+fo5iQj/I19ZZDjByzv+7duxuSDIvFYhw9ejTb+ocOHTLKlStnZrTd3d2N0aNHZ/hNVGxsrDF/\n/nzDz8/PrO/i4mIsWrQoy2vcGrlTqlQpo127dsarr75qLF682Jg/f36OvzkobG6Nqqpbt67x6KOP\nGlOmTDE2bdpktGrVqkBGJaQeOZbXb55ef/11o0GDBsbatWszvEbqkWOxsbHG22+/bZQtW9b4+++/\nrernZORYUlKS+Q3orVu7du2M3bt3Z1j/zz//NIKDg63qd+/ePcsRZLbGExcXZ7z77rtW3/A1atTI\nptFpqb91Gjp0aLb1AeRc6m/AAwMDzfufffaZTec/+uijGZ5flEeOAXAuhfFz/vLly423337b2L17\nt5GQkJBhnZs3bxqTJk0yXFxczLaff/552x50Eda+fXvDxcXFaNCggRESEmJMnz7d2Llzp1GjRo0C\nHzlm6wyQzAwYMMBo3bq1sXfv3gyvkfrzdUREhDFixAijYsWKRlhYmFX9nIwci46ONu666y6r+r17\n9zb++eefdHWTk5ON9evXG0FBQVb1n3vuuSyvYWs8UVFRxvDhw9P1QWyRepT3xIkTbToHBZMrKlQZ\nCJJj9nX06FGzY9++ffts69+8edO48847zT9WLy8vY/369dmed/78eeO2224zz/Px8TGOHz+eaf2Y\nmBjj4MGDRlJSktXx3AyrLWyOHj1qXLt2Ld3x1G9GRSU51r9/f7Otfv36GWfOnLG6xq031ZUrVxp1\n69Y1JBllypQxFi9ebNVOTpJjb731llXd//znPzYlo1544QWr8957771M6+Z0mufLL79sVX/Lli3Z\nxmMYhvk78fT0TPdBAEDepX5dffPNNw13d3dDktGyZctsz42IiDBKlixpSDIaN25sPPLII4U+8URy\nDEBqhfVzfk5MmDDBqt2bN2/apd3spO5zFOTr6aFDh4wbN26kO+7v71+kkmM3b940v5x2cXExnn32\nWXNqbNrk2IIFC4zKlSsbkozKlSune87lpP83ZMgQq7qTJ0/ONtaEhASjd+/eVuel7avkNh7DMNK1\nfe7cuWzPiY6ONnx8fAxJRpUqVYz4+Phsz0HB5IpYkL8Ymzt3rjl095FHHsm2/jvvvKODBw+a5a++\n+krt27fP9rwqVaro999/N6em3bhxQ08//XSm9UuWLKkGDRrIxaX4Pf1uu+02m6bzFAWLFi3S9u3b\n1aFDBy1ZskS333673n33XXNx+pMnT6pHjx564IEHdPbsWb3yyis6efKk+vXrl6vrHT16VBMmTDDL\nPXr00LRp02warv3JJ5+oR48eZvl///ufTp48mas40ho+fLhVeePGjTad17dvX0lSbGxsuimiAOzL\nz89P999/vyRp+/btOnbsWJb1ly5dam7kMXjw4HyPDwDsrbB+zs+JJ5980rx/48YNHT9+3C7tFlaB\ngYF5nlZYGHh6emrdunX65ZdfFBQUpBkzZqhevXqaNWuWuTj9vn371KZNGw0aNEg3b97UxIkTdeLE\nCZuecxlZu3atvvzyS7P8wgsv6NVXX832PDc3N3377bdq2rSpeeyZZ54xp/Xm1UsvvWRVtqWf4OXl\npe7du0tKmWq7evVqu8SCvCt+2QmYUm8R26tXryzrxsTEmDvd3Krfp08fm6/l7+9vldhYu3at9u7d\na3uwKJRatGihtWvXavXq1apfv75Gjx5tJnqGDBmiVatWaciQITp27Jg++OCDPM2Z/+ijj8zdZLy9\nvfXZZ5/ZfK7FYtH06dPl5eUlSUpISNDHH3+c61hS8/f3t0p4nj9/3qbzUq/JkdMdQQHk3K2dYiVp\nwYIFWda99XM3Nzc99thjOb7W33//rTFjxqh58+aqVKmSSpQoIT8/P7Vo0UJjx461+XXilnXr1umx\nxx6Tv7+/PD09VaVKFbVt21afffaZYmJibG5n3rx55o5aISEhWdbds2ePJk2apO7du6t27doqVaqU\nuRtw69at9frrr+v06dM2XTf1bmu3dig7e/as3njjDQUFBals2bLy9vbW7bffrhdeeEH//vuvzY8J\nQMaKw+d8Pz8/q/KNGzfy3CYKTteuXbVnzx4tWrRI5cuX19NPP61NmzZJSvkcvGfPHr366qs6efKk\nXn/9dfNzem5MnjzZvF+tWjVNmjTJ5nNLlCihL774wvzCPTw8XLNnz851LKk1btzYqkw/oWgjOVZM\nHThwwPxQe/vtt6tKlSpZ1l+6dKmuXbtmlkeMGJHjaz711FNW34bMmDEjx22gcOrSpYt27dqlRx99\n1Dzm5uam7777TrNnz87RtuEZuXnzpubPn2+WH3nkEZsWCU2tevXqVqPW5s6dq7i4uDzFdUvJkiXN\n+7GxsTad07RpU5UpU0aStGvXLl2+fNkusQDI2IMPPmgmshcuXJjposehoaHmh/cuXbqoYsWKNl8j\nLi5OzzzzjBo2bKhJkyaZf9sJCQm6cuWKdu7cqbfeekt169bVp59+mm17iYmJGjJkiDp27KhFixbp\n9OnTiouL08WLF7V582Y9//zzuvvuu/XPP//YHKMtmjdvrmbNmmnMmDFauXKlTp06pejoaCUkJOjy\n5cvatm2b3nnnHdWtW1fvv/9+jttfvny57rzzTk2cOFEHDhxQRESEYmJi9M8//+jTTz/VHXfcoZUr\nV9r1MQHOpLh8zj98+LBVOSAgIM9tomBZLBb1799fBw4cUHBwsHm8VKlSWr9+vSZPnpznBedDQ0Ot\nRlcNGzZM3t7eOWqjSZMmVqPW7NVPTd1HkGzvJ3To0MFM1v3666/mAAE4FsmxYur3338377dt2zbb\n+ql3/KhRo4ZN56RVqlQp9ezZM8M2UfD+/fdfffnll3r99dc1YsQITZw4UV9//bXNIwFS++OPP9Si\nRQur6YGJiYl66KGH9PTTT+vcuXN5inXHjh3mFCdJuRrJIUkDBgww70dFRWnXrl15ikuS2em9pVKl\nSjad5+LiotatW0uSDMPQH3/8kedYAGSuRIkS5tSi0NDQTKc2LFiwwEycpR5tlp3o6Gjde++9mjlz\nprkrcZ06ddSvXz8NGzZMffv2NXf1unnzpl544QW98847WbY5aNAgzZkzxyyXLVtWvXv31tChQ3Xf\nffepRIkSOnz4sLp162buimUPt94HPDw81KRJE/Xr109PPfWUhg4dqgceeEC+vr6SUl7/XnvttRwl\nyP744w89/PDDioiIUM2aNfXII4/oqaeeUqdOnczdj2/evKl+/frp1KlTdntMgDMpDp/z4+PjNWrU\nKLPcunXrbJN8sJ8jR47os88+0+jRo/Xqq6/qnXfe0bJly3Tp0qUctWMYhpYuXaqgoCCtX7/ePB4V\nFaUOHTrotddeU3h4eJ5iTd2uZJ9+wvHjx/Pcf5HSjxSztZ/g6+ur22+/XZIUERGhnTt35jkW2EG+\nrmiWQyzIbz99+/Y1FwacNm1atvXr1Klj1n/44Ydzfd2pU6daLUp44cIFm88tDgvyZ8YRC/JndQsO\nDrZpEdZdu3YZnTp1MiQZ3t7exjvvvGPu8Pbll1+auySVLFnSeO211zLcjMCWBfBTL8Tv4uJiREZG\n5urxR0REWO0uOWnSpFzFk9qvv/5qVX/FihU2xzN69GjzvOHDh+fw0QDISurX1RkzZhiGYRhbt241\njz355JMZnndrs4yyZcuaiz/bsiD/oEGDzDr16tXLcDHjxMRE47PPPjM8PDwMSYarq6uxdevWDNtb\nsGBBug1IYmJirOqcP3/e6NixoyHJKFGiRLYxpt4Ba/DgwRnWMQzDePbZZ42VK1emu17qxzF37lzD\n29vbkFJ2tDt58mSm7aVeTNrDw8Pw9vY2vvrqq3Qbqhw8eNCoVq2aWfeJJ57ItE0AmSuKn/MNI2Un\n8NDQUOOrr74yGjdubLUY/549e3IdV045akH+zDhiQf7MbhaLxejRo4exb9++bNv7/fffjWbNmhmS\njAoVKhgzZ8402rZta0gyfvjhB+Oee+4x32/ffffdDN9zbOn/pV6I39fXN9eP/8CBA1bXymjn1Zz2\nR2fOnGlV/+DBgzbHk3rX7I8++ignD8UpsSA/cu3AgQPm/VtZ6aykXv/jzjvvzPV1055rr0XRYV/r\n169Xx44dNX78+EzrDBw4UM2bN9cff/yhvn376siRIxo9erRKlCghSapdu7Z+/vlnrVy5UtWqVdN7\n772nOnXqaNmyZTmO59YaNZJUs2ZNc9HXnCpdurRq1KhhlvP6/IuOjtbIkSPNsr+/v+677z6bz7/j\njjvM+/v3789TLACy16pVK9WrV0+StGzZMqsRqZK0detWc8Hnfv36ydPT06Z2N23aZK5TVqdOHW3Z\nssVq+sgtrq6uevbZZ/X5559LkpKSkvTmm2+mq5ecnKzXX3/dLIeEhGjatGnppmdUqVJFK1asUKNG\njczNUOzhs88+U7du3dJdL/XjCAkJMRc/TkhIMB9TduLj47Vs2TI9/vjj6TZUadCggWbOnGmWly5d\nylQSIBeK0ud8Nzc3c01CDw8PBQQEaODAgdq3b58kqV69etq6dauaNGmS67hgP4Zh6KefflKLFi00\na9asDOvExsbqvvvuU+fOnbV3714988wzOnr0qJ5++mlzw7XGjRtr06ZNmj9/vjw9PTVq1CjVrVvX\nXNYgJ1L3E/Ly/A0MDLTaEC6v/YSLFy/qrbfeMsutW7dWgwYNbD6ffkLhQ3KsGDIMw+pNMLv1oCIj\nI60+nOZlt8W056Ze3wD5z2KxqFmzZnr77be1adMmhYWFKSEhQdevX9euXbs0btw4VahQQVJK52zC\nhAn64IMPMmyrZs2auuOOO7RmzRotWbIk0+dRt27ddPDgQU2cOFGGYSgwMDDHcad+nuR1t8/U5+fm\n+ZeUlKTz589r4cKFatasmflmVapUKX399ddyd3e3ua3U66alfmMHkH8GDhwoKeW9bfny5VY/S71Q\nf06mVE6ZMsW8/+GHH5rTDjMTEhJidlh//fVXXb161ernv/76q86cOSMpZb2SzF6Hbfl5fnr44YfN\nNYZsnRrevXt3de3aNdOfd+vWTZUrV5aUMu3m77//znuggBMpLp/zXV1dNWbMGB06dChPCQ/YzmKx\nqH379vroo4+0fft2Xbt2TQkJCbp27Zo2bdqkl19+2VzLKy4uTsOGDdPSpUvTtePp6Sk/Pz+1bt1a\nu3fv1owZMzJcV8xisWjQoEH6559/9PLLLyshIcGmZG5a9uonuLq6Wn0Bn5vnb0JCgkJDQ/X555+r\nWbNmOnv2rCSpcuXKVssk2IJ+QuHj5ugAYH8RERFWiwHeSoZkJu3OMDld4DC1tNsT23ONFGTvgw8+\nyPD/u0yZMmrWrJmaNWumYcOGqUePHtq9e7ckacyYMXrooYdUq1Ytq3PGjh2rCRMmmGvEZMXDw0Ov\nv/66hg8fnqstqlM/B/Py/JOsn4O2PP/SPu6MNGvWTNOmTVPLli1zFEvqDvTFixdzdC6A3Bk4cKDG\njh0rwzC0YMECcyORuLg4LV68WFLK6K977rnHpvYSExPN9X1Kly5tbr+enQ4dOujIkSMyDENbtmxR\njx49zJ+lXqunW7du2b5Pd+rUSdWqVbPL+ihpHThwQH/++adCQ0MVGRmZbiOTW6O//vrrLyUnJ1t9\n656Rvn37Zvlzi8WioKAg8zUxNDRUDRs2zMMjAJxLUfuc//zzz5vrNEZHR+vMmTPauXOnbty4oXfe\neUdLlizRtGnTskyqwz6WLVuW4fOlXLlyatOmjdq0aaNhw4apW7duOnnypAzD0LPPPqv77rvP3GTq\nli+++EJeXl7pRghnpHTp0poyZYrefPPNQtFPuPW8teX5a8vju/feezV9+nTVr18/R7HQTyh8SI4V\nQ9HR0Vbl7LbNTTuFLe35OREVFWVVtnXKCuwjuw9IUso0nZUrV+r2229XeHi4EhISNGXKFE2bNs2q\nnoeHR46vn5s3PMn6OZiX559k/Ry0x/OvXr16+vrrr82pWjmR+m8vNjbWpo4lgLzx9/dXu3bttGHD\nBv3++++6ePGiKleurJ9++knXr1+X9P9Hl9niwIED5uuSu7u7hg8fbtN5qTcEuTVK7JY///zTvN+q\nVats27JYLGrRooW+//57m65ti/nz5+udd97R0aNHbaqfkJCgiIiIbL+1tyXRlfq9KjIy0qbrA0hR\n1D7nf/LJJ+mORUdHa/r06Ro7dqyOHz+uBx54QHPmzNHgwYNzHdst8+bN0xNPPGFz/QkTJmjChAlZ\n1hk3blyWS5EUFbb0E+rXr6+ff/5ZQUFBSkxM1NWrVzV79my98sorVvVyk6Qqjv2E1q1ba8GCBeaG\nPDmR+m83r48L9kFyzAkYmWxnf0vp0qXl5uZmDrnOyxDptLuRlC1bNtdt2duxY8cyfINOrVu3burW\nrVsBReQ4FStW1PPPP6+JEydKkn755ReHxpN6KHZep+Kmfg7a8vwbNGiQ+aZrGIYuX76sI0eO6ODB\ng5Kko0ePqnnz5vr9999199135yiW7P72gPxy7tw57d27V5cvX1ZYWJi8vLxUsWJF1axZU82bN7dp\nRGhRNmjQIG3YsEFJSUn6+uuv9corr5hTKi0WS46SY6l3orp69aqmT5+e43jSvjeGhYWZ92vWrGlT\nG7bWy45hGBoyZIjmzp2b43Nv3LiRbXIs7eiCjKSenp6QkJDjOHIjP/8mDMPQqVOndPToUZ09e1bh\n4eGKi4tTqVKlVKFCBQUFBSkwMLDY/93BMYri53xvb2+NHDlSt912m/r06aPk5GQ988wzatu2rWrX\nrp3r+GAfgYGB6t+/vxYuXCgppZ+QNjlWkOzVT0hKSrIahWbL8/f555837ycnJ+vChQs6ePCguX7p\n1q1b1bJlS61fvz7Hz136CYUP79LFUNpM/s2bN7PN1Pv7++vEiROSZCYFciPtubfddluu27K3c+fO\nZdup8fX1dYrkmJQyTedWcuzEiROKj483F9vPyrx58zRv3jy7xhIQEGDeP336tG7cuJGrRfkjIyOt\nRmjY8vybMGGC1fVv2bRpkwYOHKh///1XERER6t27tw4cOJDhmgqZSb0YuKenJ6PGkK+io6M1depU\nLVmyxFzoOCNlypRRly5d9PLLL+d4qrCU0jnavXu31e306dPmz9u3b59u2/WC1rdvX73wwguKiYnR\nggULNHDgQK1evVqS1KZNmxx9gLXH8gBpF51P/c11dqM+bsnrVJJbZs2aZZUY69q1qx599FE1adJE\n1atXl5eXl9V7QUBAgLm+UXJycrbt2zIFpaDk99/ElClTtHLlSu3cuTPdiJq0fH199fjjj2v06NGq\nWLGizdcA0ipOn/N79+6te++9V2vWrFFsbKw+++yzPK+xeMcdd1glNDJy7tw5c03Ku+++W82bN8+y\nfnY/L446depkJsdysjZkfrz/p/6cfujQoVy3c/jwYav3MVuev59++mm6Y7c2LXjiiScUHh6uM2fO\nqE+fPtq5c6dNfalbUvcT7PUej7whOVYMlSlTRp6enuZ6BFeuXJGfn1+W57Rp08Z809yxY0eur536\n3PLly9vtm27YX5UqVazKV69eTXesoLRp08a8bxiGduzYoU6dOuW4nZ07d1p9C9O4ceNcx9S2bVv9\n+uuvatasmaKionTu3Dm98sorORptkXp0yK0FqIH8sHDhQo0cOVIXLlzItm5ERISWLFmiJUuWqH//\n/vrkk09s6qz//vvveuaZZ4rELsQ+Pj7q1auXvvnmGx04cECvvfaamaDKyUL8kvUH1kaNGtllR6nU\nHdmYmBibzrHXlIvUHc8JEyZo7NixWdZPu15RUVEQfxOfffaZ+dkpO1euXNHHH3+sefPmaf78+VZr\n0AE5Udw+53fu3Flr1qyRJG3ZsiXP7bVo0UItWrTIss769evN5Fi3bt2KxZRJe0vdJ7hy5YoDI0l5\n/t7aPfnKlSs6fvy46tatm+N20j73c9tPsFgs6tmzp5YvX64OHTooOTlZ+/fv16RJkzRu3Dib26Gf\nUPgwjKEYslgsVhn2W7toZKVDhw5W9Tdu3Jjj60ZFRenHH380y4VtBFZwcLAMw8jy5kxvjmk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nWrJ0rP8uXL9cknn+j5559X165d1bRpU4WFhalSpUoKCAhQ3bp11bNnT02fPl3Hjh3TrFmzyu1t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\nUHl7e6tOn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} } ], "source": [ "np.random.seed(916170)\n", "\n", "# connection path is here: https://stackoverflow.com/questions/6146290/plotting-a-line-over-several-graphs\n", "mu, sigma = 0, 1 # mean and standard deviation\n", "s = np.random.normal(mu, sigma, 1000)\n", "\n", "fig, axes = plt.subplots(nrows = 1, ncols = 1, figsize=(10, 5))\n", "\n", "# rectangular box plot\n", "bplot = axes.boxplot(s,\n", " vert=False,\n", " patch_artist=True, \n", " showfliers=True, # This would show outliers (the remaining .7% of the data)\n", " positions = [0],\n", " boxprops = dict(linestyle='--', linewidth=2, color='Black', facecolor = 'red', alpha = .4),\n", " medianprops = dict(linestyle='-', linewidth=2, color='Yellow'),\n", " whiskerprops = dict(linestyle='-', linewidth=2, color='Blue', alpha = .4),\n", " capprops = dict(linestyle='-', linewidth=2, color='Black'),\n", " flierprops = dict(marker='o', markerfacecolor='green', markersize=10,\n", " linestyle='none', alpha = .4),\n", " widths = .3,\n", " zorder = 1) \n", "\n", "axes.set_xlim(-4, 4)\n", "plt.xticks(fontsize = 14)\n", "\n", "axes.set_yticks([])\n", "axes.annotate(r'',\n", " xy=(-.73, .205), xycoords='data',\n", " xytext=(.66, .205), textcoords='data',\n", " arrowprops=dict(arrowstyle=\"|-|\",\n", " connectionstyle=\"arc3\")\n", " );\n", "\n", "axes.text(0, .25, \"Interquartile Range \\n(IQR)\", horizontalalignment='center', fontsize=18)\n", "axes.text(0, -.21, r\"Median\", horizontalalignment='center', fontsize=16);\n", "axes.text(2.65, -.15, \"\\\"Maximum\\\"\", horizontalalignment='center', fontsize=18);\n", "axes.text(-2.65, -.15, \"\\\"Minimum\\\"\", horizontalalignment='center', fontsize=18);\n", "axes.text(-.68, -.24, r\"Q1\", horizontalalignment='center', fontsize=18);\n", "axes.text(-2.65, -.21, r\"(Q1 - 1.5*IQR)\", horizontalalignment='center', fontsize=16);\n", "axes.text(.6745, -.24, r\"Q3\", horizontalalignment='center', fontsize=18);\n", "axes.text(.6745, -.30, r\"(75th Percentile)\", horizontalalignment='center', fontsize=12);\n", "axes.text(-.68, -.30, r\"(25th Percentile)\", horizontalalignment='center', fontsize=12);\n", "axes.text(2.65, -.21, r\"(Q3 + 1.5*IQR)\", horizontalalignment='center', fontsize=16);\n", "\n", "axes.annotate('Outliers', xy=(2.93,0.015), xytext=(2.52,0.20), fontsize = 18,\n", " arrowprops={'arrowstyle': '->', 'color': 'black', 'lw': 2},\n", " va='center');\n", "\n", "axes.annotate('Outliers', xy=(-3.01,0.015), xytext=(-3.41,0.20), fontsize = 18,\n", " arrowprops={'arrowstyle': '->', 'color': 'black', 'lw': 2},\n", " va='center');" ], "id": "fd87b544-438f-41e0-908e-b9ccd8e4ddac" }, { "cell_type": "markdown", "metadata": {}, "source": [ "- 가장 큰 값이 100%, 가장 작은 값이 0%, 중간값이 50%\n", "\n", "## D. boxplot을 언제 쓰면 좋을까?\n", "\n", "`-` 박스플랏의 장점: 단순히 평균을 주는 것보다 데이터를 파악하고 직관을\n", "얻기에 유리하다.\n", "\n", "`-` 박스플랏이 이용되는 범위:\n", "\n", "- 첫 데이터 분석때 자료 분포를 파악하기 용이\n", "- Kaggel등의 대회참여시, 두 개 이상의 모형의 성능을 비교\n", "\n", "# 4. Histogram\n", "\n", "## A. motivating example\n", "\n", "`-` 전북고예제에서 우리의 소망: “A반 B반 중에 어떤 반이 공부를 더\n", "잘하냐?”, “A선생님과 B선생님 중 어떤 분의 강의가 효과적이었다고 평할 수\n", "있는가?” 와 같은 단순한 질문에 대한 대답\n", "\n", "- 보통 이러한 질문은 **중심경향값** 중 하나를 골라서 비교하면 되었다.\n", "- 여기에서 **중심경향값**이란 데이터 분포의 중심을 보여주는 값으로\n", " 자료 전체를 대표할 수 있는 값을 말함. 평균, 중앙값등이 대표적인\n", " 중심경향값이다.\n", "\n", "`-` 전북고예제에서는 “A반 B반 중에서 어떤 반이 공부를 더 잘하냐?” 라는\n", "질문의 대답으로 단순평균비교로는 의미가 없었다. 오히려 결과론적으로 보면\n", "중앙값이 더 타당해 보인다.\n", "\n", "`-` 그런데 사실 생각해보면 중앙값을 기준으로 B반이 공부를 더 잘했다고\n", "주장하는 것도 애매하다. 어쨌든 가장 공부잘한 학생은 A반에 있으니까!\n", "\n", "- 에이 한명 뿐이잖아요? 라고 생각할 수 있는데 그 한명이 2명 3명으로\n", " 점점 늘어난다고 생각해보자, 합리적인 기준을 제시할 수 있는가?\n", "- 그리고 A반을 지도한 선생님이 영재를 지도하는데 특화된 선생님일수도\n", " 있잖아요?\n", "\n", "`-` 사실 “A반 B반중에 누가 더 공부를 잘하냐?” 라는 질문은 굉장히\n", "대답하기 곤란한 질문이다. 왜냐하면\n", "\n", "- 이슈1: 단순 평균비교로 이러한 질문에 답을 하기 어렵다.\n", "- 이슈2: 박스플랏으로 전체분포를 파악해도 어떠한 반이 더 공부를\n", " 잘한다는 기준을 잡는게 애매하다.\n", "\n", "`-` **그런데 특수한 경우에는 “A반 B반중에 누가 더 공부를 잘하냐?” 라는\n", "질문에 대한 대답을 깔끔하게 할 수 있다.**\n", "\n", "**`# 예제2` – 정규분포 전북고등학교: 평균은 좋은 측정값인가?**\n", "\n", "`-` A반과 B반의 통계학 성적이 아래와 같다고 하자." ], "id": "442d4135-e0b4-487f-b84c-e6cecb48299a" }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "np.random.seed(43052)\n", "y1 = np.random.randn(10000)\n", "y2 = np.random.randn(10000) + 0.5 " ], "id": "36c91488-3438-4499-b416-8ada34cd59e3" }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "np.mean(y1),np.mean(y2)" ], "id": "bd4d6a60-ed9c-4804-af1a-a59f8d343811" }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "np.mean(y2) - np.mean(y1)" ], "id": "f4295565-4a48-47a7-ab12-b29ea67329cb" }, { "cell_type": "markdown", "metadata": {}, "source": [ "y2의 값이 y1의 값보다 전체적으로 0.5097056259662253 정도 높다고 볼 수\n", "있다?" ], "id": "f316a572-11e5-4212-8734-2f10756ab4a7" }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, 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} } ], "source": [ "plt.boxplot([y1,y2]);" ], "id": "1e64b50c-f7dd-4c54-b58f-1b9d114fba48" }, { "cell_type": "markdown", "metadata": {}, "source": [ "- 분포의 모양이 거의 비슷, 왼쪽그림을 컨트롤+C 하여 오른쪽에 붙인다음\n", " 0.5정도 y축으로 올린느낌이다!\n", "\n", "`-` 여기에서는 “B반의 성적 $\\approx$ A반의 성적 + 0.5” 라고 주장해도 큰\n", "무리가 없어보인다. 따라서 이 경우에는 “A반 B반 중에 어떤반이 더 공부를\n", "잘하냐?” 라는 질문에 대하여 “B반이 평균적으로 0.5점정도 더 공부를\n", "잘합니다” 라고 대답해도 괜찮다.\n", "\n", "- 이 예제에서는 우연히 극단적인 학생이 없었음.\n", "- 그렇지만 혹시 극단적인 학생이 나온다면? 걱징X. 너무 극단적인 값이\n", " 많이 나오면 정규분포가 아님 + 만약에 어떠한 반에서 극단적인 학생이\n", " 나온다면 똑같은 확률로 다른반 역시 그러한 극단적 학생이 나올 것\n", "\n", "`-` 결론: 정규분포 분포가정을 한다면 이슈1,2에 대한 문제를 한번에\n", "해결가능 함\n", "\n", "`#`\n", "\n", "`-` 정규분포가정은 어떻게 할 수 있나? (= 데이터를 보고 어떻게\n", "정규분포라고 알 수 있는가?): 데이터의 히스토그램을 그려서 종 모양이\n", "되는지 확인해본다.[1]\n", "\n", "## B. histogram 이란?\n", "\n", "`-` 히스토그램: X축이 변수의 구간, Y축은 그 구간에 포함된 빈도를\n", "의미하는 그림\n", "\n", "## C. histogram 그리기\n", "\n", "`-` 히스토그램의 예시1 – 기본플랏, `;`으로 결과 생략하기\n", "\n", "[1] 아직 초보단계라서 이것밖에 모를 수 있어요" ], "id": "ecfb2b55-bfb9-4fcc-ba6f-c19cb48f93a0" }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "y=[10,11,12,15,16,20,21,22,23,24,25]" ], "id": "78413e96-76ea-4408-ad9a-a970d3015e24" }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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} } ], "source": [ "plt.hist(y)" ], "id": "2c54719d-7265-433a-af06-4bf862566518" }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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} } ], "source": [ "plt.hist(y,bins=10)" ], "id": "68b0f5ed-2778-4357-aa95-fd9bbeba8040" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` 히스토그램 예시2 – bins 옵션이용" ], "id": "883e341f-07b0-47de-aa9c-c40cb3c13fe5" }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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} } ], "source": [ "plt.hist(y,bins=3)" ], "id": "5a2ff598-d6c8-42f6-ad6c-5b2aaedda890" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` 히스토그램 예시3 – bins=3 옵션의 결과값 해석" ], "id": "81748b20-1045-4261-b925-b1d4699fff95" }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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} } ], "source": [ "plt.hist(y,bins=3)" ], "id": "25da179f-c81a-47d1-9082-39e27c6f52e0" }, { "cell_type": "markdown", "metadata": {}, "source": [ "- 가장 큰 값은 25, 가장 작은 값은 10이므로 range는 15이다.\n", "- range / bins = 15 / 3 = 5 이므로 각 구간의 간격은 5이다.\n", "- 구간은 \\[10,15), \\[15,20), \\[20,25\\] 로 나눈다.\n", "- 각 구간에 포함된 자료의 수는 3,2,6 이다.\n", "\n", "`-` 히스토그램 예시4 – bins=7 옵션의 결과값 해석" ], "id": "1e046d85-86a1-43fe-a442-e545732d6a51" }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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} } ], "source": [ "plt.hist(y,bins=7) " ], "id": "dd7720bc-f560-4bb3-bea3-75b7b6bdbb0d" }, { "cell_type": "markdown", "metadata": {}, "source": [ "- 가장 큰 값은 25, 가장 작은 값은 10이므로 range는 15이다.\n", "- range / bins = 15 / 7 = 2.142857142857143 이므로 각 구간의 간격은\n", " 2.142857142857143이다.\n", "- 구간은 \\[10,12.14285714), \\[12.14285714,14.28571429,),\n", " \\[22.85714286,25\\] 로 나눈다.\n", "- 각 구간에 포함된 자료의 수는 3,0,2,0,1,2,3 이다.\n", "\n", "`-` 히스토그램 예시5 – range 옵션" ], "id": "8bb64aaf-82c5-419a-8a4c-2330ead70cf6" }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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} } ], "source": [ "plt.hist(y,bins=7,range=[0,30]) # range를 변경하면 --> 구간도 달라짐" ], "id": "6641f8bd-b133-4663-a7b7-1705d16ce764" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` 히스토그램 예시6 – 나란히 그리기" ], "id": "bd2ddeb6-281c-4d3d-891d-c4454bf42165" }, { "cell_type": "code", "execution_count": 182, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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8FBcXpzlz5uiBBx5o8jWeeuop7dy5U+np6dq7d6/q6+vVr18/TZ8+XUlJSa6YDgDAEC4J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\nBgAwFiEGADDW/wN0sXtt8CxAfwAAAABJRU5ErkJggg==\n" } } ], "source": [ "np.random.seed(43052)\n", "y1 = np.random.randn(10000)\n", "y2 = np.random.randn(10000) + 0.5 \n", "plt.hist([y1,y2],bins=100);" ], "id": "cabccb41-ba13-4deb-97e1-534211652a48" }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 5. Histogram equalization\n", "\n", "## A. 예비학습1: 이미지자료 다운로드\n", "\n", "`-` ref: " ], "id": "55b1f4cc-3bec-4bf1-8af1-487f4a99a912" }, { "cell_type": "code", "execution_count": 129, "metadata": {}, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "--2023-09-04 11:59:07-- https://upload.wikimedia.org/wikipedia/commons/0/08/Unequalized_Hawkes_Bay_NZ.jpg\n", "Resolving upload.wikimedia.org (upload.wikimedia.org)... 103.102.166.240, 2001:df2:e500:ed1a::2:b\n", "Connecting to upload.wikimedia.org (upload.wikimedia.org)|103.102.166.240|:443... connected.\n", "HTTP request sent, awaiting response... 200 OK\n", "Length: 110895 (108K) [image/jpeg]\n", "Saving to: ‘Unequalized_Hawkes_Bay_NZ.jpg’\n", "\n", "Unequalized_Hawkes_ 100%[===================>] 108.30K 572KB/s in 0.2s \n", "\n", "2023-09-04 11:59:07 (572 KB/s) - ‘Unequalized_Hawkes_Bay_NZ.jpg’ saved [110895/110895]\n" ] } ], "source": [ "!wget https://upload.wikimedia.org/wikipedia/commons/0/08/Unequalized_Hawkes_Bay_NZ.jpg\n", "img = cv2.imread('Unequalized_Hawkes_Bay_NZ.jpg')\n", "!rm Unequalized_Hawkes_Bay_NZ.jpg" ], "id": "1b1f7201-fb4e-4256-88a1-6c417e5b0bfb" }, { "cell_type": "markdown", "metadata": {}, "source": [ "- `!wget 주소`: 주소에 있는 이미지를 다운로드\n", "- `!rm 파일이름`: 현재폴더에 “파일이름”을 삭제" ], "id": "af93eb2d-f5df-4b0b-9fc1-86aa84ea5b64" }, { "cell_type": "code", "execution_count": 131, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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El1QoWa95gd/cB2hlfiMz0OuDKE0rvJwPK1nzob1B6sBDwhPHs+VsTNo4OTmp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\n6tDY2JjZH7aDyydOYPyjzhYKBTQ2NpYttyh6i6pjTobfp7qg9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6N9UNlSbopqaVMnKiUY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\nLwAAAABJRU5ErkJggg==\n" } } ], "source": [ "plt.imshow(img)" ], "id": "ffdb6686-dd35-4423-9bce-a2e5e0673419" }, { "cell_type": "markdown", "metadata": {}, "source": [ "- 다운받은 이미지를 보는 방법\n", "\n", "## B. 예비학습2: 이미지자료의 이해\n", "\n", "### 비밀1: 이미지는 사실 숫자들의 집합이었음.\n", "\n", "`-` 예시1 – 2d array = 흑백이미지" ], "id": "728b432a-65c1-44fe-bff3-a3a9813442a8" }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "_img1 = np.array([0,30,90,120,150,180,210,240,255]).reshape(3,3)\n", "_img1" ], "id": "94cf71c5-78c7-4306-8a85-0a86d9ed156f" }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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dpWoz742IPZL+AFgn6b8b6glJk+4w9BmemRVWVh9eROxJ3/uB7wILgX2SBgDS9/7JtrNw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\n8MwsGw48M8uGA8/MsuHAM7Ns/D8Zp9qT1ja2HgAAAABJRU5ErkJggg==\n" } } ], "source": [ "plt.imshow(_img1,cmap='gray')\n", "plt.colorbar()" ], "id": "a19fcaf6-328e-4ba6-a0f6-4d265319fce9" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` 예시2 – 2d array = 흑백이미지" ], "id": "c274a685-c461-4470-a705-fd38c86f532f" }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "_img2 = np.array([0,20,40,60,80,100,120,140,160]).reshape(3,3)\n", "_img2" ], "id": "3586e25b-9a19-4ea0-bf24-d9963331c026" }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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l7WmoJyRN+oahz/DMrLCy7uFFxP708xDwbWARcFDSXID089Bk21k48CTNl/SIpF2Sdkr6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\nWTYceGaWjf8H8fOeeNKFeeoAAAAASUVORK5CYII=\n" } } ], "source": [ "plt.imshow(_img2,cmap='gray',vmin=0,vmax=255)\n", "plt.colorbar()" ], "id": "453cf034-9629-48ab-b095-2c0d424c14dc" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` 예시3 – 나란히 그리기" ], "id": "f2998f12-852c-4cb2-b777-5799fe56bc64" }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "_img3 = np.concatenate([_img1,_img2],axis=1)\n", "_img3" ], "id": "f1ad36a9-6113-49d1-b47d-27c1db81301e" }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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} } ], "source": [ "plt.imshow(_img3,cmap='gray')" ], "id": "91f73cd1-76d0-48d9-a14d-dd868faeafdd" }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 비밀2: 칼라이미지는 red + green + blue 의 조합으로 표현가능 (다른방식도 가능)\n", "\n", "`-` ref: \n", "\n", "
\n", "\n", "
그림 ??: 위키에서 긁은 그림, 빛의 3원색을\n", "표현하고 있음
\n", "
\n", "\n", "`-` 예시1 – 3d array = 칼라이미지" ], "id": "87c7010c-91ee-448f-a4db-aea211a5c380" }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "r = np.array(\n", " [[ 0, 0, 0, 0, 0],\n", " [ 0, 0, 0, 0, 0],\n", " [255, 255, 255, 255, 255],\n", " [255, 255, 255, 255, 255],\n", " [255, 255, 255, 255, 255]]\n", ")\n", "g = np.array(\n", " [[255, 255, 255, 0, 0],\n", " [255, 255, 255, 0, 0],\n", " [255, 255, 255, 0, 0],\n", " [ 0, 0, 0, 0, 0],\n", " [ 0, 0, 0, 0, 0]]\n", ")\n", "b = np.array(\n", " [[ 0, 0, 255, 255, 255],\n", " [ 0, 0, 255, 255, 255],\n", " [ 0, 0, 255, 255, 255],\n", " [ 0, 0, 0, 0, 0],\n", " [ 0, 0, 0, 0, 0]]\n", ")\n", "z = np.array(\n", " [[ 0, 0, 0, 0, 0],\n", " [ 0, 0, 0, 0, 0],\n", " [ 0, 0, 0, 0, 0],\n", " [ 0, 0, 0, 0, 0],\n", " [ 0, 0, 0, 0, 0]]\n", ") " ], "id": "dfda0472-f745-40cd-8acb-b4c9cb3c0f30" }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "red = np.stack([r,z,z],axis=-1)\n", "green = np.stack([z,g,z],axis=-1)\n", "blue = np.stack([z,z,b],axis=-1)" ], "id": "ed29b60d-9573-43c2-a9a1-c1d3c54d0bd6" }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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} } ], "source": [ "plt.imshow(red)" ], "id": "b5028b0d-9914-467b-8c73-e0dba889f929" }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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} } ], "source": [ "plt.imshow(red+green+blue)" ], "id": "5caa3ac5-4479-46d3-af8e-3f17ba0c64a8" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` 예시2: R,G,B를 같은 비율로 섞으면 다시 흑백이미지가 된다." ], "id": "8a42a113-3269-4f4d-8236-5b3c669d8a3d" }, { "cell_type": "code", "execution_count": 143, "metadata": {}, "outputs": [], "source": [ "arr2 = np.array(\n", " [[10, 40],\n", " [80, 60]]\n", ")\n", "arr2" ], "id": "3a2b92a6-7b95-4286-9c34-a5791a383b05" }, { "cell_type": "code", "execution_count": 144, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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} } ], "source": [ "arr3 = np.stack([arr2,arr2,arr2],axis=-1)\n", "plt.imshow(arr3)" ], "id": "98c474a5-1487-44f0-87e3-ee6ac2a43657" }, { "cell_type": "code", "execution_count": 147, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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9pVWrVmnYsGGemjaAAEdkzPPrB2T6Ox6QGVh4QGbg8OQDMr/66iv96Ec/Mnzt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\nTkSuQmCC\n" } } ], "source": [ "plt.imshow(arr2,cmap='gray',vmin=0,vmax=255)\n", "plt.colorbar()" ], "id": "32f3f30a-bc1b-4993-ae8e-f2ac25869313" }, { "cell_type": "markdown", "metadata": {}, "source": [ "## C. 히스토그램 이퀄라이제이션\n", "\n", "`-` 우리가 관심있었던 이미지" ], "id": "f9b5a529-9fa7-41be-b352-8e0ef96d5563" }, { "cell_type": "code", "execution_count": 104, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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El1QoWa95gd/cB2hlfiMz0OuDKE0rvJwPK1nzob1B6sBDwhPHs+VsTNo4OTmp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\n6tDY2JjZH7aDyydOYPyjzhYKBTQ2NpYttyh6i6pjTobfp7qg9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6N9UNlSbopqaVMnKiUY\nf7bTPXVtmxpAdwZi0QvL5TUxMvY6nCTYb5ah8lJ5uNHmNbF+6H/XW5eRwtvtYxRzFmLlxRwqJa5q\na0OqqzEi83byvKavY/3RftMBJUnonNIy3fFiv9T58nQ5P+ujOlqGZjaUjIGedXQSYF1dHZqamirq\n9Ech2H7Oac6ZaiQV+05wvqh+qmz4jLM6/LGMj9uc2Ho6r/9GRoLfJOjjC+p5AeWT0x8212va29vL\nIkhGd0ClZx3bjaferis/PVtfM/P8O9viyktFV6Lghp+Ojg7U1dVl//VN9FofFZztY/TG87qAzvZ5\nGpjHYpGbTtRYBKYGJjY2Opljk5bl8liMaJQE1fDrvUr+7hARMUfJSdGP6Vh6n2O+q3ri3ka9ptq9\nCjdmShiqX/7c2MpSjj6GJAddXvDIx9un7XCycTlqnTTk+gKLmOOj9eo51S1d3/ZIh9fxHOvubYMO\nI0IupfAnl3RNze2Ovqs1tjdgZQ6Z6qKPg+q8rym7buvY672x+qq1ayCRSLAKuL5HD0l3cKnBVqPI\naznI3NHV2tqakYwTkhs4oNJgaN3cHUly0h2mJDU38uqlA+Vva9FcPa/hZgrdKar98o0PnJTcSKFe\nv3rNboB13Yn1eArYnQ8nuVjE4uuDarR98nrqUw2Xtt2NRF1dXVlqO4RQlrJWcnYD7o8bKNT792hE\n5efGsVq05953LCJQ2TjBev3sF+vRF3KrfqhOad+1HRqlens9fajtYP+1HzzmzqXrLGXF6Cu25hoj\ndT2u+s5rtAzdPKO7Ol33iVKphLq6urJfqNGfStJUJ+en6qjPC59rPu9UN9259Ag3hJ7HQTRj4wSm\nNjDm2MX0Pab/A4FEglWgv66uEQEnWSxlQoOoW4U1wuME4WYPvUeNAo8T/MyUSVtbW5mx8HUXThTe\nq33wKMHJivXQwKuRJGITTX86SdcylEy1fTSS+myR1sPJRsJXQtZ+6Xho2/g5ZtD9uJepqVemer1d\nQPmzc264Y06Op9E8HcfISjcrsX5/GYNHpz6ebJ8bQNcpfo6VFyNQ1TfVM3dkeI/LyJ0DJxiVuY+n\nG3UnK1839PmrfdN+0Mnzx4P0+limwjewKDHpz2DFUqcaNfEnj1hnsVjMytWdl7QfbCsJlue1fpcF\n++ky1Hb5coLqp+5457X6R5n6uRhiJDqQSCRYBbGFW1UAncBAuSGhkqvBZ5TEvL1vxY/tvFTDy+e4\nNHJRw8rjLKejoyNLw2o9bKuWETOUvt7lHp6TP68Fyl/w64ZUI1UaC/aD7W1tbUWpVEJDQ0P2G47a\nV/VI2Q8dF7ZJo7lYpBMzlhpVEd5fHRcth8fUIaFeeKq0GtnwvxpQrYufPaLjZ62HOujjpuWrgYxF\nVz7OlLHu2o1F3ipv1R8t14mX9fjvcKrzxnKUZNTB5HffVe1pVr/Xx4HQNipJsDxdN+czkjo2uj7u\nkRHL49zV3+HM5XLZHPKIU58LZNv8QXV9FRv1IJaudKgTE3OCQghZNkrHVPujdlDvVSQS/BqAA6iR\nU2wSucHgvWroNHXlqUFfl9Cog2UzRcd69Q0R/kOvquyantMIIWbY3ONWw+jt8XJ0IvOYpnDVKKoM\n/dEO3RHL9Y62traMEPWFwppy8vZrRBSbyD427g2rDqjR8uOuKz7hVYe8fC3bd/iqA+bGX3foxpwb\njaIoG3UCVA88qtU2Ogm5cXOHUKHRX2/Gzh8Xcf3iZ9UzXsdfZ3CnzMdAyc7XzXRs/R2s1eawtoME\np6895Hi5Pmqd/hKG7u7u7Dc5uSao6+T8jU2SnZepeuykq/LwpRLqheqQO1AKzsvYz3rpT8S5Y6Hj\noWUPFiJMJFgFVBAaXvWOYh6zGgk1REpeHl162sjrBirTUzxGhacHqGStRKRREo8Rajh0InCyxNJu\nnq7VDQK64YCTkPUpgbFOfYenThp964QaRI8eCCUEj0CcZNSwxbxYlbEb2N6IUMct5mzwu5OugmW6\n4xUz4FqX6ibl4Y6Vjqc/3B5CyJ7ncuKLEa86dTGSog5oHTH4ZjAvx6M5T62qziqx+9iSdHSDF+vT\nazwy5GcuazBKU/3UV5hRxtV2WWqbOX765hm+FYnndGOMOr+xcWeZ7rg7EVZzHPV6nb9atr4jmffo\nX2xuuTPijvVgQCLBKqB3RyXgoMU2NShpAaiYBAotyw22Gxc3IK5QnIREzDt30nLPTNvHCa0TWTfM\nqBGkB0zvVdMzSvY6MXTy+yRU0tI6tT62V0laZcwdczqGng7V7z5xtR2sy42mt9m93libdPzcc48R\nqROnjin7zz7kcjm0t7dH+6D1sU6uOaohV71gnZ7yVRm4Y+Lrtnq9Z0yUkKlzrpPuxKiO6ryqpme6\n8ct1T+Wrka22lcd0Dqrj6c6ZrtdqWR49ekTPe5lS5Xzmhhgth0Ts8ufmHtVTH7fedEwdXS1XyU1t\ngmcyYjrh7VFnKZbBGGgkEuwF7hl66sknLxEzbqoUPslpQHTCxDwundS+NT32oLVOYidInTw8r/ep\nEfM1BCqxrkMQXi6h3h8j5VwuV2Y8nFBYjv6itreP8meaRj1rjQpiGww0deX95zWaDdB2US6s06MB\nnfSUS319fbaWpcZHZcVIQ0mFMqDs1OHQtTnKgm3w1K6TOT8rUXn6OuYceF1q1HXOqMMSiwxYlo65\npvPdWDoxuu7xmlwul2VHvI0cM20rx0fTs+oEaEpZMzpOeto/JU3tCz9rfRzXrq6en8bSRy+4IU7P\nsV6Nlt0R8vnkJKnOCNun2SPKjG1VmxRz8LXfsYg8pkuDAYkEVwI1KrFJp3BPiseoAOpZOcG6crsy\ncULrW2t4n3rFvsboaR41VrxfoUZQy+dnn0xqsFm3Pirh/VVv1tOYKistw9voctM+kexaW1vL7uOW\n+BACSqVS1ga2X6NPkhX7pwaDhKQkp5EmoYaWaS+PRpQsqjk/Srrsr6/R+Q5hJTZG6koCsbGv5jxR\nvn6tl6H6rQZQP8f0p1p62CMZr18/q2zcwXBj7DJhe3R8GCXzgfZq5Ol906hJHV2XMf84j/lf62H5\nlD3XxFWnVBbuGKrOaqZK2+nOl48n5eBrtyoDn996XjNKMWd6sCCRYC9wz9MJKvaf9+kk1knjG0gI\nXxtRqKFgmrZQKJRNIp90Skz8rv/dMPGcesau5EDlL5urAeY9eo2TP0knl8uV/TKAe9AxY8yy3HDq\nYyncXMNympqayh734Kuqcrlc2a+BqMzZF5eBk5GSlkde2n8tw/XJIz4tSx+zUD3STUEqA0/Zc/OI\nb7yJOReeVlN99c0YShhOQEraMWPrY+1ziPKPXat6x+t8XpK02CfVJZeVytudNMontgxQLc2p0aMS\nnRICjzFVr29uogOn4+W/Pq/j7OTEdvv4us66zFT32BZvr16j18ZslY6hO8O8R8djoJFIsApoAGJp\nMqBS8QifrG701Kt2xYvBJyLr4BsovM2utHqOk9HTRYRGVPRm9bcUtY2aovR+a99Ubmrc+ICwRoEs\nT3fPaRkqb19b4FqKGrB8Pp+d1+iPhiWEgBEjRmQ/28Py1dipUdS1OJevRhPaBrZTx8q38rMc3V6/\nfPnyip+lqq+vL1sv8jawHSy/vb09u0blrwZJ+6zREcfYZaLPkKoh8yjPiTumJ9UcHU9jUvaqI0og\nvuFMzzOK4rjRWfLoRNvrOzzdqeV9mgVxWQA9DqtuKGHKk3X5g+iUr+q+6oXKWtvj47wq9om64LoT\nW6/TsfJ5G3Ps3AlQuXA8BwsSCVaBepua8urN2KsCuqfuJOeRhUY5roRqKFTp1Mh6m7UNGsmEEMre\nMqPtUe/NPTp3BGiMNQWkjoOSh6Z4aPTdwHFtTVND7rm67OkMeGTB65ctW5aVoc9Ran9aWloqjKWm\nIX3cta8x0uM1rIPyYwoOQJn8PWLSNSSVlxtZX7th/e5kxSJQ9sFThrrO3N1dvjM6lvbyaMPbo/3w\nNhC9peZc31m2kmHMqXTSpexJXB5VaYZG79M5prJXeag+qwy6urrK3u6k5O6RLvumzpnLSaEE5OOv\n7XQi0/7puAE9L8hgef6/mkOgNsjbEWuTpngHCxIJ9oJqaQ33ZoH4rstqhKkK5etD7rV5+UD5Tk29\nn/c4kSqhxYy69lHbpu3282ybpoBISu7x1dXVob29PdsC7psWtMxqsnSow6BrXdxEQOL1HYs0Rvzx\nUpKoPnvpKUCNmD1NGkvrxDxvf0YrlpL0sdLI3Em2sbGxbD0JQJlBVmPshtcJlvVpW7S9Pj4elWhf\n/WXqhDtFTm4kXbbFSSg259wIu0z1Hn9syddPqUNKkuqY+JzxqFRlxGwLN1/pPNS+sR2xNcBqzoXO\nO4/iXA5qq/TaWKrSERvjaqTs9WlkqmWTuGP6MZBIJFgFMRLRz2roY2lSQomz2mT16Ir1xwhXz7sx\n8GiC0LUDV26N9Px5Q63DjYuSqXuHrFNJR1N5LH/o0KFl64e6AzJGiixf0zB1deUbVWLPS6pBI2G0\ntrZmBF1Xt+INO0xb8Y0cLFvHT9dZtb+UATcwcLdfLGVIR0D7rhG1GknVDxoQfaeqpo51PHhfTAYe\nKSnR+BjrOddFdUR4beyxBc8EaDuU9D0C8jaqTGKErzoeM7Ixx4Wy01SwLz94yk/Hne3QdUiSpj/+\noVkIbRNlQgfMHSB1NFVfXCZetson5mTrXHQHjXVo/6tdq5G0X6PydOdmsCCRYBU4WVDR9Xi1yeKe\ns5ah7tL7eAAAD4RJREFURsXJ0IlNy2YZPOdRlEdrMa84ZgC0fCdeN4qKmDOgoKyYZnFDSlLkvWyv\nrjl5e2MGEkDFi7b9oV43XowCPRrVNCwndYyQXcaUBw0A1zv1epUfH7yur6/Pfm9Oz6nR0uiE7eeL\n2Lu7uzPy1jFVY+OpJ49etB6Vq0YbsdSrOgNuNGNjpG1Tmfmf90EJQLMxq+J8elkxIqOOemSqjl1M\nx/XRBO8Xy/T5yX7E7Ijer5G99rEacbi81cFw+TgJqV7FnA0tVzfB8XhHR0emo0DPujY3+ajTqohl\nUAYKiQSrwKMgNXIxEuI9MSOp0RHLc4+Sx3msmvfuE5nXu8K74dMUntfr/dX7tL3aBjW0TrjuBLix\nZH1qvGkY9DfTPNXrqRW9zqM/dyC0Xnqu7qjEvOFY2lI3BbkRUXJVo00yoWEj+XG9qru7O7tXjZj3\nQ0lA28Aowp0el6ETkF6j4xzLAqheOTHrmLjOaHSuhMtydH1NZaftdZ3TNsYIXVORPK8bXlR3tb0a\nUVNHYylJn8uqrzpHVPZ01vQ8oVkByjK2fq7ffZ6zfe4Y6xj5HPdrtT9um2JlcQ6786hOgmaWvM7B\ngESCVeBKowrnCqzX6feYF1jtWMzg8Lv+j3mG7rlp/TEPmOf1Pp9s6pm6QazWbycEdQpYjvZd3+zh\nMvG+Orn5egf7obtZidjk9ohY+1PNUOl5lwfTm0riJLr6+noUCoWM5PVNNhpR8f2QOgasQ9urP1/E\nd6zq+HqEq/3UlK3eF9NtN4YuPx0Db4PrsKaQ3Vnin+6+9WipGtGq3igpKkmq/NhurdNJlZ9p0P1H\na50Q9Vk6P+8pb7aBhOzOXIzgYgSkdalu+3j7NbHUZrUydAzdSXanyOvgPStz/AcD0i/LG4YPH45i\nsYj11luvYtCBSnJZXbjx7I1cvmpPaU3r6G1CatlrUu6a3NcXslrdumN9X537+8sLjnn01drpOr62\niJGY11WtHb3du6ZY0z7F9H1V5qsfi5FAb236qm3AV1H2yuyaYvHixSgUCli2bFmft2N1kCJBw7Bh\nw9DW1oYvv/wSW2211UA35xuB+fPnA0CSZx8iybRvkeTZ91iZTFtaWjBs2LD+bFIUKRKMYPz48QCA\nN954Y4Bb8s1AkmffI8m0b5Hk2ff4ush0cL7MLSEhISEhoR+QSDAhISEhoWaRSDAhISEhoWaRSDAh\nISEhoWaRSDAhISEhoWaRdocmJCQkJNQsUiSYkJCQkFCzSCSYkJCQkFCzSCSYkJCQkFCzSCSYkJCQ\nkFCzSCSYkJCQkFCzSCSYkJCQkFCzSCSYkJCQkFCzSCT4PxSLRVx66aUYN24cCoUCNt54Y/zgBz/A\nhx9+ONBNG1C0tbXhvvvuww9/+ENsvfXWKBQKGDZsGCZMmIDLL78cLS0tFfdcdtll0V+s5t9FF11U\ntb5nn30WU6ZMwbrrrovm5mbsvPPO+OMf//hVdrHf8b3vfa9X+fz1r3+N3nfTTTdh5513RnNzM9Zd\nd11MmTIFs2fP7rWuWpDnk08+2as8+Xf55Zdn9yQdXYGXXnoJV111FY4++miMGTOm4od5q6G/dHHh\nwoWYNm0aNt54YxQKBYwbNw4zZsxAe3v7avWzN6TfEwTQ3t6OfffdF88//zw22mgjHHHEEXjvvfcw\na9YsPPTQQ3j++eex5ZZbDnQzBwS33XYbTjvtNADANttsg8MPPxxLly7F7NmzMWPGDNx+++146qmn\nsOGGG1bcO2nSJIwdO7bi+I477hit6+6778YJJ5yA7u5u7LXXXlh//fXx2GOPYerUqXjttddw9dVX\n923nBhjHHHMMmpubK45vsskmFcd+9rOf4frrr0djYyMOPPBAtLe349FHH8UjjzyCu+66C0ceeWTF\nPbUiz9GjR2Pq1KnRc11dXbjlllsAAHvuuWfF+VrX0SuuuAL333//at3TX7r4n//8B7vtthsWL16M\nbbfdFnvuuSfmzJmDyy+/HI899hgee+wx5PP5Ne16D0JCuOSSSwKAsNtuu4Vly5Zlx6+55poAIOy9\n994D17gBxk033RROP/30MG/evLLj//3vf8MOO+wQAIQTTzyx7NyMGTMCgDBr1qxVruezzz4L66yz\nTgAQ7r777uz4xx9/HMaOHRsAhCeeeGJtujJosPfeewcA4d13312l6x999NEAIKy33nrh7bffzo7P\nnj075HK5MHLkyLBkyZKye2pJnr3h4YcfDgDCpptuGrq7u7PjSUdX4KqrrgrTp08PDzzwQPjoo49C\nPp8PvdFCf+ripEmTAoBw1llnZcc6OzvDUUcdFQCEGTNmrHG/FTVPgqVSKYwYMSIACC+//HLF+e23\n3z4ACHPmzBmA1g1uzJ49OwAI+Xw+lEql7PiaGJj/+7//CwDCEUccUXHunnvuCQDCoYce2getHnis\nLgkefPDBAUC49tprK86dddZZAUC4+uqry47Xkjx7w0knnRQAhIsuuqjseNLROFZGgv2liy+88EIA\nEDbccMPQ3t5edu7jjz8OQ4cODaNGjQqdnZ2r3rkqqPk1wWeffRZffvklttpqK+ywww4V54899lgA\nwIMPPtjfTRv0mDBhAgCgVCrhs88+W6uy/vznPwPokbfikEMOQaFQwN///vc+XQv4OqBYLOLxxx8H\nEJdNNf1M8gRaW1uzVN/3v//9tS6v1mXan7rIew477LCKlOe3vvUt7LnnnliyZAmeeeaZtejRCtT8\nmuDcuXMBABMnToye5/HXXnut39r0dcE777wDABg6dCjWXXfdivOPP/44Xn31VbS3t2PMmDE4+OCD\nq6619DYOuVwO2267LebMmYO3334b22+/fR/2YuBw44034rPPPkN9fT3GjRuHI488EptttlnZNW+9\n9RZKpRI22GADjBkzpqKMavpZi/J03HPPPWhtbcUOO+yA73znO9Frko6uOvpTF1fFLj/++ON47bXX\n8L3vfW+N+wQkEsT7778PANFB1eMLFizotzZ9XXD99dcDACZPnhxdoL755pvLvk+fPh3HHHMMbrrp\nprINIUuXLsWXX34JoPdxmDNnDhYsWPCNMTC/+MUvyr6ff/75mD59OqZPn54dW5l+Dhs2DCNHjsSS\nJUuwbNkyDB8+vGbl6eCGmN6iwKSjq47+1MX+tMs1nw7lFv+mpqbo+WHDhgEAli1b1m9t+jrg4Ycf\nxo033oihQ4fiiiuuKDs3duxYXH311XjjjTfQ0tKCDz74ALfeeis22WQT3H333RVGSR+zqIVx2Guv\nvXDzzTdj/vz5aGtrw1tvvYUrr7wSDQ0NuPTSSzPnAli5fgKVsqk1ecbw0Ucf4bHHHsOQIUNw4okn\nVpxPOrr66E9d7E+7XPORYMLq41//+hdOOeUUhBAwc+bMbG2QOOWUU8q+Dxs2DCeddBL22WcfbLfd\ndrjvvvvw/PPPY9ddd+3PZg8a6PNqADBu3DhcfPHF2GmnnXDQQQfhsssuw+mnn47GxsYBauHXH7ff\nfju6urowefJkjB49uuJ80tEEouYjQaY82traoudbW1sBAMOHD++3Ng1mfPjhh5g8eTKWLFmCc889\nF2efffYq37vRRhth2rRpAFD2QLimnWp5HA488EDstNNO+OKLL/DCCy8AWLl+ApWySfJctVRoDElH\nq6M/dbE/7XLNkyA3IixcuDB6nsc333zzfmvTYMXnn3+OAw88EAsWLMC0adPW6MHgb3/72wBWpKuI\nddZZByNGjACQxsHlszL9bG1txRdffIFRo0ZlBqHW5fnmm2/ilVdeQXNzc/TB7ZUh6Wgc/amL/WmX\na54Emcp7+eWXo+d5/Ju40L06aGlpwcEHH4x58+bh6KOPxu9///tVer2SY8mSJQB6cvpEb+PQ2dmJ\n119/PXtt0jcZLp+tt94a+XweixYtir7Cr5p+1rI8udnl6KOP7nX9qhqSjsbRn7rYn3a55klw0qRJ\nGDFiBObPn49XX3214vxdd90FYMXzKrWKUqmEI444Ai+++CIOOugg3H777RgyZMhqlxNCwL333gug\ncuvzIYccAqBH3oqHHnoI7e3t2H///VEoFNagB18PLFq0CE8//TSAHvk0NjZi3333BQDceeedFfdU\n089alWcIAbfddhuANXs2MOlodfSnLvKeBx98EKVSqeyeTz75BE8//TRGjRqFSZMmrUWP/oe1ftz+\nGwC+Nm333XcPLS0t2fH02rQQli9fnr2maM899wytra29Xv/pp5+GG264ISxdurTs+LJly8IZZ5wR\nAITRo0dXlFPt1UqffPLJ1/aVVDE8++yz4d577w3Lly8vO/7uu+9mr4k6/PDDy8719qqqfD6/Wq+q\n+qbJ0/HUU08FAGGTTTYJXV1d0WuSjlbH2rw2ra91kfPh7LPPzo51dnaGo48+Or02ra9RLBbDLrvs\nEgCEjTbaKBx//PHZ9w022CDMnz9/oJs4YLjuuusCgAAgHHXUUWHq1KnRv0WLFoUQVhhzAKG5uTns\ns88+4aSTTgoHHHBAWG+99QKAMHLkyPDMM89E67rrrrtCfX19qKurC/vss0849thjw8iRIwOAcO65\n5/Znt78yzJo1KzOyU6ZMCSeddFKYNGlSKBQKAUAYP358+OSTTyruO/vsswOA0NTUFI444ohw8MEH\nh4aGhjBkyJBw7733RuuqBXk6TjvttAAgXHDBBVWvSTrag4ceeijssssu2V9dXV0AUHbsoYceKrun\nv3Tx7bffzsZku+22CyeccELYcssts4DFX6e2pkgk+D+0tbWF6dOnh6222irkcrkwevTocOqpp4YP\nPvhgoJs2oOA7Flf2x/dgLl26NFx44YVh7733DptssknI5/OhqakpjB8/Ppx33nlh4cKFvdb3zDPP\nhMmTJ4eRI0eGpqamsNNOO4WbbrqpH3raP5g3b14488wzw8SJE8MGG2wQGhoawogRI8Kuu+4arrnm\nmtDW1lb13lmzZoUdd9wxNDU1hZEjR4bJkyeHZ599ttf6vunyVLS3t4dRo0YFAGHu3LlVr0s62gM6\nZb39xd6v2l+6+P7774dTTz01jB49OuRyuTB27Ngwffr0UCwW16bbZagLIYS1T6omJCQkJCR8/VDz\nG2MSEhISEmoXiQQTEhISEmoWiQQTEhISEmoWiQQTEhISEmoWiQQTEhISEmoWiQQTEhISEmoWiQQT\nEhISEmoWiQQTEhISEmoWiQQTEhISEmoWiQQTEhISEmoWiQQTEhISEmoWiQQTEhISEmoWiQQTEhIS\nEmoWiQQTEhISEmoWiQQTEhISEmoWiQQTEhISEmoWiQQTEhISEmoWiQQTEhISEmoW/w+Pskk/ZSII\nLwAAAABJRU5ErkJggg==\n" } } ], "source": [ "plt.imshow(img)" ], "id": "4babda8c-aa39-488d-8ca3-51fa9011c093" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` 이미지를 rgb로 각각 분리하고 각 색깔들의 히스토그램을 그려보자." ], "id": "c997105b-80a6-4297-88c9-0ab2b33aaa6e" }, { "cell_type": "code", "execution_count": 159, "metadata": {}, "outputs": [], "source": [ "r = img[:,:,0]\n", "g = img[:,:,1]\n", "b = img[:,:,2]" ], "id": "247a3203-f980-4c8d-9328-f214185e36f4" }, { "cell_type": "code", "execution_count": 115, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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OHVN8fLyys7O1YsWKNhcsAAD0PYQlAAAWXLMEAMCCsAQAwIKwBADAgrAEAMCC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\n" } } ], "source": [ "plt.hist(r.reshape(-1),range=(0,255),bins=255);" ], "id": "a425b239-728b-46e4-a11e-f05d8f228d7f" }, { "cell_type": "markdown", "metadata": {}, "source": [ "- 120-200 사이에 값이 몰려있음\n", "- 만약에 120-200까지의 분포된 모양은 그대로 유지하면서 range를 0-255\n", " 까지 늘린다면?\n", "\n", "`-` `cv2.equalizeHist()`를 이용하여 분포의 모양은 대략적으로 유지하면서\n", "값을 퍼트리자!" ], "id": "bf3f3ad5-2c83-4bc0-8ae9-c4c6f7cd0641" }, { "cell_type": "code", "execution_count": 163, "metadata": {}, "outputs": [], "source": [ "rr = cv2.equalizeHist(r)\n", "gg = cv2.equalizeHist(g)\n", "bb = cv2.equalizeHist(b)" ], "id": "ba46ac09-2367-40cc-b449-c01bd3fc2bf4" }, { "cell_type": "code", "execution_count": 170, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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FLh6JAVPvwa2ubHtdW2raup62vr4R07Un2d4Aa2xsRGFhIQBg6NChBnXui/SnrT8H7fmd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\nERGRjP8D7pM9fWx8AsYAAAAASUVORK5CYII=\n" } } ], "source": [ "plt.hist(r.reshape(-1),bins=255, range=[0,255],label='befor');\n", "plt.hist(rr.reshape(-1),bins=255,range=[0,255],label='after');\n", "plt.legend()" ], "id": "b59fb66c-4f90-462d-8e8d-4a4e3018dbdc" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` 변환이후의 이미지를 그려본다면?" ], "id": "f69da2cb-e41f-4d47-97cc-c86015913bd7" }, { "cell_type": "code", "execution_count": 171, "metadata": {}, "outputs": [], "source": [ "img2 = np.stack([rr,gg,bb],axis=-1)" ], "id": "8f801158-0ad0-48a9-8bea-f46f6a7d13b5" }, { "cell_type": "code", "execution_count": 172, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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EbW5uIplMIpfLyd/U63XEYjFUKhVotVrk83ksLS3BarXCbrcjEomgVCohEAjI/l1aWoLP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MPYwg793a2lIoFLKmZpcEAtOR2gj9XWyIZrOp2dlZU33BCAWDQYveIHYwJ2x7e1tDQ0NGJgB+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bVNW19f1yte8YpnrG3axYsX9a//9b/W7OysLly4oIWFBXV1dWloaEj1et0KtzGIqVRKN954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\nMq/I+PCHP6wf/dEflSTdcMMNesMb3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} } ], "source": [ "plt.imshow(img2)" ], "id": "bddf1c9a-aa49-4940-a8a6-d23b1ecc0a9b" }, { "cell_type": "code", "execution_count": 173, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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h/Va06Dg+LpcLPp9P7mEyDADk85r+bjQat/m19Brj6+vr60K/A0AkEoHL5cLq6iqSySRK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QPtu+s2jzutDd3MPnKeNFDzebUQpvXCXD9aY0ypoPAnxUZqTx/myjGlAkIlhNVaOA46QpE+Rs10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\noI19fVZuoS8LgGiovBaDbTTRj42NSUCG3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5o1axasTZ8lnH766QCA/v5+ACfuz7GxMeRy\nOcTjcRnAzc3NaGlpmfe8WngPC9l3btzPwh6/QG336fDwMC677DIcPnwYt956Kx566KE5xyzVcVrz\nZEj1/5133vHcz+2bNm1asDZ9lpDNZgEct92vX78eoVAIqVTKs5Rdtf6c7z1MTU3hP//5j5RhWqpY\nyL5z434W9vglarFPC4UCrrzySuzZswfXXHMNHn/8cc8yd0t1nNY8GW7duhUtLS04cOAA3n333Tn7\nn3nmGQDA17/+9QVu2eJHKpXCK6+8AuB4iHNDQwMuueQSAMCf//znOedU68+vfvWrFfs1XnjhBUxM\nTODSSy9FOBw+eQ+wyLCQfcdz/va3v6FUKlWcMzg4iFdeeQXxeBxbt279BE+0uGGMwXPPPQdgbuh+\nrfVpqVTC9u3b8eabb+Lyyy/HH//4R9TV1Xkeu2TH6SfOVFwCYDm2Cy+80BQKBdnuyrEZ89prr5nn\nnnvOlMvliu0HDx6UMknf+MY3KvbNV6opFAp9rFJNg4ODn+lybDY+STm2k913fH87duyQbVNTU+aa\na675TBWamK9Ph4aGzGOPPWZGR0crtufzefPd737XADAdHR1mbGysYn8t9Wm5XJbSZl/60pfm9IUX\nluI4dWRoZgt1n3/++QaqUDf/r/VC3U8++aQIjKuuusrceOONZuvWrSYcDhsAZsOGDfMW8W1sbDTb\nt283V1555Ucq4uv3+43P5zPbtm0z1113nRTxveuuuz7lJ/108MILL5jzzz9ffnw+nwFQse2FF16o\nOGeh+m7fvn2mtbXVADBnnXWW+eY3vykFkC+88MJFWVTamI/XpwcPHjQATDQaNdu2bTM33nij+cpX\nviLPHYvFzKuvvup5n1rp00ceeUSqzFx99dWexcxvvvlmk0qlKs5bauPUkeH/o1gsmp07d5quri4T\nDAZNR0eHueWWWzzLDdUS9uzZY+644w5z7rnnmmQyaQKBgGlpaTEXXHCBefjhh02xWKx67pNPPmnO\nO+8809jYaGKxmLniiivMa6+9Nu/9Xn31VXPFFVeYWCxmGhsbzebNm81TTz11sh9rwcDJxHw/XmXC\nFqrvjhw5Ym655RbT0dFhgsGg6e7uNjt37lzUZe8+Tp+Ojo6aH/3oR+biiy82nZ2dJhQKmcbGRrNh\nwwZz9913m2PHjs17r1roU5arO9GPVznGpTROfcYY878bWR0cHBwcHD77qPkAGgcHBwcHB0eGDg4O\nDg41D0eGDg4ODg41D0eGDg4ODg41D0eGDg4ODg41D0eGDg4ODg41D0eGDg4ODg41D0eGDg4ODg41\nD0eGDg4ODg41D0eGDg4ODg41D0eGDg4ODg41D0eGDg4ODg41D0eGDg4ODg41D0eGDg4ODg41D0eG\nDg4ODg41D0eGDg4ODg41D0eGDg4ODg41j/8DmP57Kzqua/EAAAAASUVORK5CYII=\n" } } ], "source": [ "plt.imshow(np.concatenate([img,img2],axis=1))" ], "id": "e69b1435-f346-4619-8568-f0072735f2cb" }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 6. 참고\n", "\n", "`-` numpy에서 `np.stack()`, `np.concatenate()` 의 사용법을 복습하려면??\n", "\n", "- \n", "\n", "`-` numpy, pandas, matplotlib에 대한 내용을 복습하려면?\n", "\n", "- 에서 06wk-1, 06wk-2, 07wk-1,\n", " 08wk-1, 08wk-2\n", "\n", "`-` 파이썬 전반적인 내용을 복습하려면?\n", "\n", "- 에서 01wk-2 ~ 09wk-1\n", "\n", "# 7. 숙제\n", "\n", "`-` HE(Histogram Equalization)을 이용하여 아래주소에 저장된 이미지의\n", "명암비를 보정하라\n", "\n", "- \n", "\n", "------------------------------------------------------------------------\n", "\n", "`-` 힌트: 아래는 위의 주소의 이미지를 다운로드 하여 `img`라는 numpy\n", "array로 저장한것 이다." ], "id": "d424512c-653c-4b69-abad-77cc914e36d4" }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "--2023-09-04 18:50:51-- https://raw.githubusercontent.com/guebin/2021DV/master/_notebooks/hw_img.png\n", "Resolving raw.githubusercontent.com (raw.githubusercontent.com)... 185.199.109.133, 185.199.111.133, 185.199.108.133, ...\n", "Connecting to raw.githubusercontent.com (raw.githubusercontent.com)|185.199.109.133|:443... connected.\n", "HTTP request sent, awaiting response... 200 OK\n", "Length: 120618 (118K) [image/png]\n", "Saving to: ‘hw_img.png’\n", "\n", "hw_img.png 100%[===================>] 117.79K --.-KB/s in 0.01s \n", "\n", "2023-09-04 18:50:55 (10.8 MB/s) - ‘hw_img.png’ saved [120618/120618]\n" ] } ], "source": [ "!wget https://raw.githubusercontent.com/guebin/2021DV/master/_notebooks/hw_img.png\n", "img = cv2.imread('hw_img.png')\n", "!rm hw_img.png" ], "id": "bee2fd29-a185-46f5-adde-76b1b0aaaed6" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` 아래는 다운로드한 이미지를 시각화한 결과이다." ], "id": "b24e0644-bb5f-4388-b89c-12b73f80c67d" }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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3wEbp5ikLsPfkQ30motxu/d3iRuBGUWV2QItYnlpst476G5kOj0uloitg8bq/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gfYUahms4l6vY7BYJCosJ8Ipy5Er9fDU089hW984xtot9s4duwYDh8+jE6nsydmAgwPJF3hqgxN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\nsKoOjI+P7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} } ], "source": [ "plt.imshow(img)" ], "id": "6c79c380-9aa9-48f7-8c0e-f0b1c2a94c4a" }, { "cell_type": "markdown", "metadata": {}, "source": [ "> **숙제 관련 공지**\n", ">\n", "> 1. 숙제는 본인이 편리한 형식으로 정리하여 LMS에 제출\n", "> - 화면캡쳐,`.ipynb`, `.html` 등 가능\n", "> 2. 숙제가 너무 어려워 못 하시는 분은 질문하시면 힌트 줍니다. (필요에\n", "> 따라서 거의 정답에 가까운 힌트를 줄 수도 있습니다)\n", "\n", "> **파이썬을 처음 사용하는 학생을 위한 공지**\n", ">\n", "> 1. 기본적으로는 “파이썬프로그래밍 -\\> 데이터시각화” 순서로 수강하는\n", "> 것을 권유합니다.\n", "> 2. 하지만 어떠한 이유로 “파이썬입문”없이 데이터시각화를 수강하셔야\n", "> 하는 경우는 에서 부족한 부분을\n", "> 공부하시고 따라오시기 바랍니다. 중간고사 이전까지의 분량정도만\n", "> 공부하면 충분합니다.\n", "> 3. 시간부족등의 이유로 의 내용을\n", "> 공부하기 어려우시다면, 질문을 아주 많이 하시면서 따라오셔야\n", "> 합니다. (아무리 사소한거라도 다 답변합니다. 최대한 돕겠습니다.)\n", "\n", "Galarnyk, Michael. 2023. “Python_tutorials.”\n", "." ], "id": "20654711-732c-47fb-b6c3-b2490e8e1be1" } ], "nbformat": 4, "nbformat_minor": 5, "metadata": { "kernelspec": { "name": "python3", "display_name": "Python 3 (ipykernel)", "language": "python" }, "language_info": { "name": "python", "codemirror_mode": { "name": "ipython", "version": "3" }, "file_extension": ".py", "mimetype": "text/x-python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.5" } } }