每日作業/Day_042_HW_(in Colab).ipynb

{"nbformat":4,"nbformat_minor":0,"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":"3.6.4"},"colab":{"name":"Day_042_HW_(in Colab).ipynb","provenance":[],"collapsed_sections":["wrmVArAdAejW","6z8rsAR_AsEs","NLN93zND7FpD"],"toc_visible":true}},"cells":[{"cell_type":"markdown","metadata":{"id":"zNfwHm7h7Fo6","colab_type":"text"},"source":["# 作業\n","理解範例後請嘗試將關鍵點畫在圖像上，確保圖像及資料有正確讀取。  \n","Hint: 可以用 matplotlib 的 [scatter](https://matplotlib.org/3.1.1/gallery/shapes_and_collections/scatter.html) 或者 opencv 的 [cv2.circle](https://docs.opencv.org/master/dc/da5/tutorial_py_drawing_functions.html)"]},{"cell_type":"markdown","metadata":{"id":"wrmVArAdAejW","colab_type":"text"},"source":["# 連結 Google Drive"]},{"cell_type":"code","metadata":{"id":"rYhi4cJIAe0G","colab_type":"code","colab":{}},"source":["from google.colab import drive\n","drive.mount('/content/gdrive')"],"execution_count":null,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"6z8rsAR_AsEs","colab_type":"text"},"source":["# 匯入套件"]},{"cell_type":"code","metadata":{"id":"jcpf_H_v7Fo8","colab_type":"code","colab":{},"executionInfo":{"status":"ok","timestamp":1597846309725,"user_tz":-480,"elapsed":984,"user":{"displayName":"Tom Wu","photoUrl":"","userId":"12399139509982028497"}}},"source":["import os\n","import numpy as np\n","import pandas as pd\n","import matplotlib.pyplot as plt\n","%matplotlib inline"],"execution_count":2,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"NLN93zND7FpD","colab_type":"text"},"source":["# 資料前處理  \n","\n","資料分為兩部份:  \n","(1) 15 個關鍵點座標( 座標相關的值有 $15\\times2=30$ 維 )；  \n","(2) 96x96 灰階像素值；\n","\n","讀取資料後，先簡單地過濾有缺失某些關鍵點座標的資料，然後再將資料 scale 到 $[-0.5, 0.5]$ 範圍中。"]},{"cell_type":"code","metadata":{"id":"HV3BxXfa7FpD","colab_type":"code","colab":{},"executionInfo":{"status":"ok","timestamp":1597846312640,"user_tz":-480,"elapsed":3895,"user":{"displayName":"Tom Wu","photoUrl":"","userId":"12399139509982028497"}}},"source":["# 讀取 csv 文件\n","os.chdir('/content/gdrive/My Drive/Facial Keypoints Detection') \n","data = pd.read_csv('training.csv')"],"execution_count":3,"outputs":[]},{"cell_type":"code","metadata":{"id":"DPS7ehdY7FpF","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":1000},"executionInfo":{"status":"ok","timestamp":1597846312641,"user_tz":-480,"elapsed":3891,"user":{"displayName":"Tom Wu","photoUrl":"","userId":"12399139509982028497"}},"outputId":"eca29ab9-c4ee-43a7-fd10-a050a1198ac6"},"source":["# 前 5 筆資料, .T 的作用是轉置，如果不理解可以和 data.head() 的結果相比較\n","data.head().T"],"execution_count":4,"outputs":[{"output_type":"execute_result","data":{"text/html":["<div>\n","<style scoped>\n","    .dataframe tbody tr th:only-of-type {\n","        vertical-align: middle;\n","    }\n","\n","    .dataframe tbody tr th {\n","        vertical-align: top;\n","    }\n","\n","    .dataframe thead th {\n","        text-align: right;\n","    }\n","</style>\n","<table border=\"1\" class=\"dataframe\">\n","  <thead>\n","    <tr style=\"text-align: right;\">\n","      <th></th>\n","      <th>0</th>\n","      <th>1</th>\n","      <th>2</th>\n","      <th>3</th>\n","      <th>4</th>\n","    </tr>\n","  </thead>\n","  <tbody>\n","    <tr>\n","      <th>left_eye_center_x</th>\n","      <td>66.0336</td>\n","      <td>64.3329</td>\n","      <td>65.0571</td>\n","      <td>65.2257</td>\n","      <td>66.7253</td>\n","    </tr>\n","    <tr>\n","      <th>left_eye_center_y</th>\n","      <td>39.0023</td>\n","      <td>34.9701</td>\n","      <td>34.9096</td>\n","      <td>37.2618</td>\n","      <td>39.6213</td>\n","    </tr>\n","    <tr>\n","      <th>right_eye_center_x</th>\n","      <td>30.227</td>\n","      <td>29.9493</td>\n","      <td>30.9038</td>\n","      <td>32.0231</td>\n","      <td>32.2448</td>\n","    </tr>\n","    <tr>\n","      <th>right_eye_center_y</th>\n","      <td>36.4217</td>\n","      <td>33.4487</td>\n","      <td>34.9096</td>\n","      <td>37.2618</td>\n","      <td>38.042</td>\n","    </tr>\n","    <tr>\n","      <th>left_eye_inner_corner_x</th>\n","      <td>59.5821</td>\n","      <td>58.8562</td>\n","      <td>59.412</td>\n","      <td>60.0033</td>\n","      <td>58.5659</td>\n","    </tr>\n","    <tr>\n","      <th>left_eye_inner_corner_y</th>\n","      <td>39.6474</td>\n","      <td>35.2743</td>\n","      <td>36.321</td>\n","      <td>39.1272</td>\n","      <td>39.6213</td>\n","    </tr>\n","    <tr>\n","      <th>left_eye_outer_corner_x</th>\n","      <td>73.1303</td>\n","      <td>70.7227</td>\n","      <td>70.9844</td>\n","      <td>72.3147</td>\n","      <td>72.5159</td>\n","    </tr>\n","    <tr>\n","      <th>left_eye_outer_corner_y</th>\n","      <td>39.97</td>\n","      <td>36.1872</td>\n","      <td>36.321</td>\n","      <td>38.381</td>\n","      <td>39.8845</td>\n","    </tr>\n","    <tr>\n","      <th>right_eye_inner_corner_x</th>\n","      <td>36.3566</td>\n","      <td>36.0347</td>\n","      <td>37.6781</td>\n","      <td>37.6186</td>\n","      <td>36.9824</td>\n","    </tr>\n","    <tr>\n","      <th>right_eye_inner_corner_y</th>\n","      <td>37.3894</td>\n","      <td>34.3615</td>\n","      <td>36.321</td>\n","      <td>38.7541</td>\n","      <td>39.0949</td>\n","    </tr>\n","    <tr>\n","      <th>right_eye_outer_corner_x</th>\n","      <td>23.4529</td>\n","      <td>24.4725</td>\n","      <td>24.9764</td>\n","      <td>25.3073</td>\n","      <td>22.5061</td>\n","    </tr>\n","    <tr>\n","      <th>right_eye_outer_corner_y</th>\n","      <td>37.3894</td>\n","      <td>33.1444</td>\n","      <td>36.6032</td>\n","      <td>38.0079</td>\n","      <td>38.3052</td>\n","    </tr>\n","    <tr>\n","      <th>left_eyebrow_inner_end_x</th>\n","      <td>56.9533</td>\n","      <td>53.9874</td>\n","      <td>55.7425</td>\n","      <td>56.4338</td>\n","      <td>57.2496</td>\n","    </tr>\n","    <tr>\n","      <th>left_eyebrow_inner_end_y</th>\n","      <td>29.0336</td>\n","      <td>28.2759</td>\n","      <td>27.5709</td>\n","      <td>30.9299</td>\n","      <td>30.6722</td>\n","    </tr>\n","    <tr>\n","      <th>left_eyebrow_outer_end_x</th>\n","      <td>80.2271</td>\n","      <td>78.6342</td>\n","      <td>78.8874</td>\n","      <td>77.9103</td>\n","      <td>77.7629</td>\n","    </tr>\n","    <tr>\n","      <th>left_eyebrow_outer_end_y</th>\n","      <td>32.2281</td>\n","      <td>30.4059</td>\n","      <td>32.6516</td>\n","      <td>31.6657</td>\n","      <td>31.7372</td>\n","    </tr>\n","    <tr>\n","      <th>right_eyebrow_inner_end_x</th>\n","      <td>40.2276</td>\n","      <td>42.7289</td>\n","      <td>42.1939</td>\n","      <td>41.6715</td>\n","      <td>38.0354</td>\n","    </tr>\n","    <tr>\n","      <th>right_eyebrow_inner_end_y</th>\n","      <td>29.0023</td>\n","      <td>26.146</td>\n","      <td>28.1355</td>\n","      <td>31.05</td>\n","      <td>30.9354</td>\n","    </tr>\n","    <tr>\n","      <th>right_eyebrow_outer_end_x</th>\n","      <td>16.3564</td>\n","      <td>16.8654</td>\n","      <td>16.7912</td>\n","      <td>20.458</td>\n","      <td>15.9259</td>\n","    </tr>\n","    <tr>\n","      <th>right_eyebrow_outer_end_y</th>\n","      <td>29.6475</td>\n","      <td>27.0589</td>\n","      <td>32.0871</td>\n","      <td>29.9093</td>\n","      <td>30.6722</td>\n","    </tr>\n","    <tr>\n","      <th>nose_tip_x</th>\n","      <td>44.4206</td>\n","      <td>48.2063</td>\n","      <td>47.5573</td>\n","      <td>51.8851</td>\n","      <td>43.2995</td>\n","    </tr>\n","    <tr>\n","      <th>nose_tip_y</th>\n","      <td>57.0668</td>\n","      <td>55.6609</td>\n","      <td>53.5389</td>\n","      <td>54.1665</td>\n","      <td>64.8895</td>\n","    </tr>\n","    <tr>\n","      <th>mouth_left_corner_x</th>\n","      <td>61.1953</td>\n","      <td>56.4214</td>\n","      <td>60.8229</td>\n","      <td>65.5989</td>\n","      <td>60.6714</td>\n","    </tr>\n","    <tr>\n","      <th>mouth_left_corner_y</th>\n","      <td>79.9702</td>\n","      <td>76.352</td>\n","      <td>73.0143</td>\n","      <td>72.7037</td>\n","      <td>77.5232</td>\n","    </tr>\n","    <tr>\n","      <th>mouth_right_corner_x</th>\n","      <td>28.6145</td>\n","      <td>35.1224</td>\n","      <td>33.7263</td>\n","      <td>37.2455</td>\n","      <td>31.1918</td>\n","    </tr>\n","    <tr>\n","      <th>mouth_right_corner_y</th>\n","      <td>77.389</td>\n","      <td>76.0477</td>\n","      <td>72.732</td>\n","      <td>74.1955</td>\n","      <td>76.9973</td>\n","    </tr>\n","    <tr>\n","      <th>mouth_center_top_lip_x</th>\n","      <td>43.3126</td>\n","      <td>46.6846</td>\n","      <td>47.2749</td>\n","      <td>50.3032</td>\n","      <td>44.9627</td>\n","    </tr>\n","    <tr>\n","      <th>mouth_center_top_lip_y</th>\n","      <td>72.9355</td>\n","      <td>70.2666</td>\n","      <td>70.1918</td>\n","      <td>70.0917</td>\n","      <td>73.7074</td>\n","    </tr>\n","    <tr>\n","      <th>mouth_center_bottom_lip_x</th>\n","      <td>43.1307</td>\n","      <td>45.4679</td>\n","      <td>47.2749</td>\n","      <td>51.5612</td>\n","      <td>44.2271</td>\n","    </tr>\n","    <tr>\n","      <th>mouth_center_bottom_lip_y</th>\n","      <td>84.4858</td>\n","      <td>85.4802</td>\n","      <td>78.6594</td>\n","      <td>78.2684</td>\n","      <td>86.8712</td>\n","    </tr>\n","    <tr>\n","      <th>Image</th>\n","      <td>238 236 237 238 240 240 239 241 241 243 240 23...</td>\n","      <td>219 215 204 196 204 211 212 200 180 168 178 19...</td>\n","      <td>144 142 159 180 188 188 184 180 167 132 84 59 ...</td>\n","      <td>193 192 193 194 194 194 193 192 168 111 50 12 ...</td>\n","      <td>147 148 160 196 215 214 216 217 219 220 206 18...</td>\n","    </tr>\n","  </tbody>\n","</table>\n","</div>"],"text/plain":["                                                                           0  ...                                                  4\n","left_eye_center_x                                                    66.0336  ...                                            66.7253\n","left_eye_center_y                                                    39.0023  ...                                            39.6213\n","right_eye_center_x                                                    30.227  ...                                            32.2448\n","right_eye_center_y                                                   36.4217  ...                                             38.042\n","left_eye_inner_corner_x                                              59.5821  ...                                            58.5659\n","left_eye_inner_corner_y                                              39.6474  ...                                            39.6213\n","left_eye_outer_corner_x                                              73.1303  ...                                            72.5159\n","left_eye_outer_corner_y                                                39.97  ...                                            39.8845\n","right_eye_inner_corner_x                                             36.3566  ...                                            36.9824\n","right_eye_inner_corner_y                                             37.3894  ...                                            39.0949\n","right_eye_outer_corner_x                                             23.4529  ...                                            22.5061\n","right_eye_outer_corner_y                                             37.3894  ...                                            38.3052\n","left_eyebrow_inner_end_x                                             56.9533  ...                                            57.2496\n","left_eyebrow_inner_end_y                                             29.0336  ...                                            30.6722\n","left_eyebrow_outer_end_x                                             80.2271  ...                                            77.7629\n","left_eyebrow_outer_end_y                                             32.2281  ...                                            31.7372\n","right_eyebrow_inner_end_x                                            40.2276  ...                                            38.0354\n","right_eyebrow_inner_end_y                                            29.0023  ...                                            30.9354\n","right_eyebrow_outer_end_x                                            16.3564  ...                                            15.9259\n","right_eyebrow_outer_end_y                                            29.6475  ...                                            30.6722\n","nose_tip_x                                                           44.4206  ...                                            43.2995\n","nose_tip_y                                                           57.0668  ...                                            64.8895\n","mouth_left_corner_x                                                  61.1953  ...                                            60.6714\n","mouth_left_corner_y                                                  79.9702  ...                                            77.5232\n","mouth_right_corner_x                                                 28.6145  ...                                            31.1918\n","mouth_right_corner_y                                                  77.389  ...                                            76.9973\n","mouth_center_top_lip_x                                               43.3126  ...                                            44.9627\n","mouth_center_top_lip_y                                               72.9355  ...                                            73.7074\n","mouth_center_bottom_lip_x                                            43.1307  ...                                            44.2271\n","mouth_center_bottom_lip_y                                            84.4858  ...                                            86.8712\n","Image                      238 236 237 238 240 240 239 241 241 243 240 23...  ...  147 148 160 196 215 214 216 217 219 220 206 18...\n","\n","[31 rows x 5 columns]"]},"metadata":{"tags":[]},"execution_count":4}]},{"cell_type":"code","metadata":{"id":"JJzKVRxs7FpI","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":158},"executionInfo":{"status":"ok","timestamp":1597846312642,"user_tz":-480,"elapsed":3887,"user":{"displayName":"Tom Wu","photoUrl":"","userId":"12399139509982028497"}},"outputId":"b22d4c1b-7b6f-4a94-80d5-ec34a913d103"},"source":["data['Image'][0]"],"execution_count":5,"outputs":[{"output_type":"execute_result","data":{"application/vnd.google.colaboratory.intrinsic+json":{"type":"string"},"text/plain":["'238 236 237 238 240 240 239 241 241 243 240 239 231 212 190 173 148 122 104 92 79 73 74 73 73 74 81 74 60 64 75 86 93 102 100 105 109 114 121 127 132 134 137 137 140 139 138 137 137 140 141 143 144 147 148 149 147 147 148 145 147 144 146 147 147 143 134 130 130 128 116 104 98 90 82 78 85 88 86 80 77 87 108 111 115 128 133 188 242 252 250 248 251 250 250 250 235 238 236 238 238 237 238 242 241 239 237 233 215 195 187 156 119 103 93 78 68 73 75 75 72 75 70 61 66 77 91 96 106 108 113 120 125 131 134 138 135 138 139 145 144 144 142 140 141 141 148 147 150 149 152 151 149 150 147 148 144 148 144 146 146 143 139 128 132 135 128 112 104 97 87 78 79 83 85 83 75 75 89 109 111 117 117 130 194 243 251 249 250 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156 138 91 72 68 65 57 52 55 58 55 52 51 51 55 53 52 57 68 88 96 102 107 112 111 102 97 86 74 70 71 71 70 77 70 70 67 68 63 60 60 56 61 69 95 132 150 148 152 155 153 152 150 146 141 139 138 139 135 129 123 106 87 119 148 145 145 133 120 104 65 28 35 53 68 55 37 33 29 20 16 15 14 5 35 129 150 140 138 142 139 134 141 136 141 149 154 123 88 70 62 60 55 52 49 47 47 45 50 57 58 56 58 65 72 74 79 88 93 98 91 82 74 78 77 75 74 73 69 65 63 66 72 71 68 68 63 59 61 67 82 115 142 151 151 154 154 147 149 145 136 131 140 142 136 129 121 103 81 117 148 147 140 137 123 91 42 28 36 51 75 72 25 21 19 17 17 16 13 5 34 119 144 134 132 143 137 133 135 140 143 152 154 115 77 65 61 57 56 57 54 50 48 54 58 62 64 67 77 89 101 107 109 108 107 100 99 96 95 91 88 85 79 76 69 64 59 59 58 62 67 70 66 67 66 57 71 100 132 149 152 153 151 146 145 144 139 141 139 137 134 132 126 107 85 111 142 140 136 134 115 58 24 28 33 48 70 85 19 18 17 18 16 17 19 11 30 111 135 132 135 136 132 131 140 146 140 148 150 110 76 64 59 59 59 59 61 58 57 66 81 89 89 91 95 100 109 118 123 127 128 125 126 124 122 113 109 102 93 84 81 78 69 71 66 63 60 57 58 68 69 57 62 85 118 144 152 152 148 144 137 136 139 141 135 134 134 130 127 104 87 111 131 134 135 120 67 25 24 29 32 46 62 83 27 24 20 18 16 16 15 7 16 93 135 136 134 132 134 134 142 137 136 143 146 113 78 63 61 64 66 69 68 76 82 85 105 121 130 127 127 127 126 121 125 133 130 132 130 133 128 127 118 114 112 106 108 108 109 104 97 83 78 72 63 63 65 60 60 77 116 143 147 149 145 136 135 136 140 134 131 133 131 127 124 102 74 87 101 108 90 53 24 26 30 29 32 39 59 78 29 31 28 22 19 17 17 11 18 86 135 134 132 134 131 140 140 139 137 140 144 121 85 69 64 68 71 81 95 102 106 117 122 130 135 140 141 141 136 133 136 137 144 144 143 139 142 141 137 137 134 137 138 134 124 118 109 101 90 86 79 71 63 61 60 73 116 142 146 144 138 136 137 135 130 131 133 134 129 129 118 93 50 22 23 29 28 24 29 30 29 31 33 35 48 68 25 26 29 30 25 23 23 14 11 73 127 133 133 132 135 141 138 138 136 137 142 128 93 74 67 71 83 91 103 115 121 126 126 126 128 134 133 131 127 122 117 120 130 131 126 126 131 135 136 136 136 138 139 135 128 124 117 111 105 101 86 71 74 73 57 71 118 138 138 138 134 135 138 132 129 135 134 130 130 131 115 81 48 23 20 24 25 27 28 30 30 31 33 34 44 57 30 26 25 31 31 28 27 24 14 55 124 137 129 130 136 132 138 137 140 139 142 133 104 82 74 80 95 109 116 122 125 128 128 125 125 122 118 116 110 102 92 88 91 90 86 89 102 113 118 122 119 118 127 129 127 122 124 120 113 102 88 85 85 75 56 80 119 129 132 139 131 128 134 132 134 129 129 129 130 125 110 73 42 26 24 28 27 26 27 28 32 36 36 35 40 53 33 32 30 26 34 35 27 29 20 33 109 137 131 135 130 132 140 144 139 138 136 132 114 111 111 106 119 121 125 128 127 128 125 125 120 113 106 101 89 85 78 74 80 77 70 67 77 89 97 103 107 110 112 125 124 125 124 115 103 102 106 100 91 74 63 95 124 123 129 132 126 132 133 139 137 136 131 130 131 127 98 56 33 28 25 28 28 25 29 34 34 37 44 41 37 45 30 29 29 27 31 37 33 28 30 28 87 136 137 136 136 141 142 139 140 140 135 133 128 124 127 132 136 132 126 125 123 125 119 111 106 96 85 78 71 62 58 62 61 57 57 59 57 65 80 96 108 116 126 130 133 130 124 123 124 127 118 105 93 77 90 113 126 125 122 124 130 133 139 141 137 135 133 128 125 116 84 40 31 28 24 23 26 30 35 38 36 34 38 46 45 44 38 31 30 28 26 33 38 29 27 24 62 126 136 131 133 137 139 140 145 141 134 137 131 125 134 140 137 138 131 127 120 119 112 103 94 82 74 66 62 53 45 46 42 35 40 53 53 50 57 72 87 104 121 125 129 128 127 126 127 127 119 108 98 104 117 130 130 126 118 124 135 129 126 127 130 130 133 128 121 110 76 35 26 24 20 20 23 28 33 35 36 40 43 45 46 50 39 35 33 32 23 26 36 32 25 23 33 101 129 130 131 138 134 138 140 136 126 125 126 128 128 123 136 137 129 118 114 104 97 93 81 72 66 62 54 46 41 44 44 41 43 49 55 52 56 67 74 88 103 118 119 123 125 130 128 126 126 123 125 128 133 133 133 130 127 133 137 133 125 126 129 131 128 123 116 104 61 28 21 19 19 22 23 27 33 34 38 39 41 44 45 47 39 33 34 36 25 21 29 34 28 23 23 63 116 128 134 140 144 146 144 139 136 133 129 126 111 118 132 127 117 111 104 93 81 70 62 56 51 45 42 42 46 46 45 45 43 50 55 54 63 70 76 84 97 108 113 119 128 128 130 131 136 141 139 138 137 134 133 137 137 138 133 128 126 129 132 130 124 117 116 93 45 22 21 20 22 24 24 25 27 28 32 36 37 41 46 50 57 37 33 35 33 26 24 30 31 25 20 32 90 125 132 139 141 143 146 144 145 138 126 112 108 120 119 117 111 105 98 89 75 64 62 55 47 44 47 47 47 47 50 52 46 50 54 55 67 73 77 82 92 102 113 122 130 132 135 140 145 147 145 141 138 137 137 140 138 138 130 117 127 132 131 127 125 121 112 69 28 17 20 21 21 23 25 24 25 28 34 36 39 41 43 48 94 50 34 35 37 30 23 25 33 29 26 24 44 101 123 135 135 141 144 148 144 138 121 107 108 111 111 100 106 107 96 80 66 62 59 52 48 51 50 47 44 54 58 51 49 54 57 53 63 71 75 79 83 101 112 126 130 136 135 135 142 146 147 140 139 135 138 139 140 138 134 133 131 129 127 127 120 119 87 39 21 18 19 19 22 23 25 27 27 33 35 34 38 45 53 58 131 71 38 34 37 34 26 24 29 28 26 23 19 48 101 122 138 142 142 144 150 141 118 105 103 106 98 102 104 102 88 61 52 51 51 50 50 48 45 41 46 58 56 47 49 57 61 60 61 62 69 79 86 98 113 119 128 135 140 144 142 138 136 138 138 138 138 139 139 139 139 138 135 130 125 122 119 99 55 25 19 21 20 18 22 24 28 29 30 35 38 40 45 44 49 57 166 121 57 33 36 36 29 25 27 29 28 26 22 15 50 103 126 135 141 142 153 139 116 106 95 98 103 105 93 87 64 50 47 46 45 47 54 50 44 45 47 50 48 41 51 62 61 64 60 52 59 70 75 89 114 121 125 132 145 148 145 136 128 135 139 141 142 141 138 140 136 133 131 126 122 113 103 62 26 22 22 21 24 21 21 24 25 29 29 32 38 42 48 55 53 53 179 167 112 44 29 35 32 24 24 31 29 27 29 16 10 64 111 129 135 146 145 128 114 106 98 105 109 88 76 68 59 46 40 41 43 44 48 47 41 47 45 42 44 46 53 61 56 58 58 50 48 56 61 75 104 129 131 138 144 149 146 135 125 131 144 145 146 141 135 133 132 130 124 119 115 108 65 24 18 20 22 24 24 22 22 25 26 29 31 32 35 41 43 48 54 56 186 183 181 104 30 31 34 27 24 29 30 28 31 20 14 51 98 116 130 139 136 113 96 86 86 98 89 77 64 51 52 47 40 38 40 41 43 41 39 43 39 38 42 45 49 55 51 50 52 48 45 44 52 56 92 128 134 132 141 146 145 143 134 137 146 150 146 140 136 131 129 126 120 111 110 89 32 17 21 20 20 24 27 25 23 23 26 28 29 32 39 45 48 52 57 60 189 188 207 172 69 31 36 30 26 31 32 30 29 19 14 56 95 102 112 133 128 90 67 73 75 76 76 70 53 46 48 44 40 39 35 34 39 43 35 36 39 37 38 42 44 43 42 43 45 46 41 40 46 48 60 112 136 131 135 140 138 139 138 142 146 148 145 138 131 128 126 121 110 107 107 79 25 14 18 19 22 25 28 30 29 29 28 30 31 34 41 48 54 61 69 78 191 184 184 192 127 44 33 27 25 28 29 27 25 17 13 58 97 104 101 120 117 93 72 62 64 67 68 59 51 46 46 45 39 35 31 33 40 46 41 38 38 38 38 38 40 37 37 40 41 39 35 36 42 44 45 97 130 131 133 135 124 126 133 136 146 143 136 132 127 124 119 110 104 112 119 78 20 17 19 20 23 26 31 30 30 32 33 29 30 34 39 49 62 70 75 90'"]},"metadata":{"tags":[]},"execution_count":5}]},{"cell_type":"markdown","metadata":{"id":"2Aw8zXCJ7FpK","colab_type":"text"},"source":["前 30 個 column 是座標值，最後一個 column 是圖片像素值的字串 (以空白鍵區隔)，接下來我們就以下的函數來做資料的讀取以及前處理，請盡量仔細理解這個函數..."]},{"cell_type":"code","metadata":{"id":"SH9n_RnI7FpL","colab_type":"code","colab":{},"executionInfo":{"status":"ok","timestamp":1597846315792,"user_tz":-480,"elapsed":7032,"user":{"displayName":"Tom Wu","photoUrl":"","userId":"12399139509982028497"}}},"source":["# 過濾有缺失值的 row\n","data = data.dropna()\n","\n","# 將圖片像素值讀取為 numpy array 的形態\n","data['Image'] = data['Image'].apply(lambda img: np.fromstring(img, sep=' ')).values \n","\n","# 單獨把圖像 array 抽取出來\n","imgs = np.vstack(data['Image'].values)/255\n","# reshape 為 96 x 96\n","imgs = imgs.reshape(data.shape[0], 96, 96)\n","# 轉換為 float\n","imgs = imgs.astype(np.float32)\n","\n","# 提取座標的部分\n","points = data[data.columns[:-1]].values\n","\n","# 轉換為 float\n","points = points.astype(np.float32)\n","\n","# normalize 坐標值到 [-0.5, 0.5]\n","points = points/96 - 0.5"],"execution_count":6,"outputs":[]},{"cell_type":"code","metadata":{"id":"cI6BnLeA7FpN","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":52},"executionInfo":{"status":"ok","timestamp":1597846315795,"user_tz":-480,"elapsed":7031,"user":{"displayName":"Tom Wu","photoUrl":"","userId":"12399139509982028497"}},"outputId":"460cef28-ba2c-422e-8a5c-3493ea86ad3f"},"source":["print( \"圖像資料:\", imgs.shape, \"\\n關鍵點資料:\", points.shape )"],"execution_count":7,"outputs":[{"output_type":"stream","text":["圖像資料: (2140, 96, 96) \n","關鍵點資料: (2140, 30)\n"],"name":"stdout"}]},{"cell_type":"code","metadata":{"id":"0PN2skgi7FpP","colab_type":"code","colab":{},"executionInfo":{"status":"ok","timestamp":1597846315795,"user_tz":-480,"elapsed":7027,"user":{"displayName":"Tom Wu","photoUrl":"","userId":"12399139509982028497"}}},"source":["sample_img = imgs[0]\n","sample_points = points[0]"],"execution_count":8,"outputs":[]},{"cell_type":"code","metadata":{"id":"THYyC6PR7FpR","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":286},"executionInfo":{"status":"ok","timestamp":1597846315796,"user_tz":-480,"elapsed":7024,"user":{"displayName":"Tom Wu","photoUrl":"","userId":"12399139509982028497"}},"outputId":"0a1937cf-3a5d-4b05-a195-3524f79119d7"},"source":["plt.imshow( sample_img, cmap='gray' )"],"execution_count":9,"outputs":[{"output_type":"execute_result","data":{"text/plain":["<matplotlib.image.AxesImage at 0x7fc242c477f0>"]},"metadata":{"tags":[]},"execution_count":9},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"code","metadata":{"id":"inLeYlulDOI2","colab_type":"code","colab":{},"executionInfo":{"status":"ok","timestamp":1597846315796,"user_tz":-480,"elapsed":7019,"user":{"displayName":"Tom Wu","photoUrl":"","userId":"12399139509982028497"}}},"source":["def plot_keypoints( img, points ):\n","    # 顯示圖片\n","    plt.imshow( img, cmap='gray' )\n","    # 標上關鍵點座標\n","    for i in range(0,30,2):\n","        plt.scatter( (points[i] + 0.5)*96, (points[i+1]+0.5)*96, color='red' )"],"execution_count":10,"outputs":[]},{"cell_type":"code","metadata":{"id":"BrgR4ErqD1l6","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":268},"executionInfo":{"status":"ok","timestamp":1597846316682,"user_tz":-480,"elapsed":7900,"user":{"displayName":"Tom Wu","photoUrl":"","userId":"12399139509982028497"}},"outputId":"4e2a5105-bba4-46f0-bb22-81d9e0ceb88d"},"source":["plot_keypoints( sample_img, sample_points )"],"execution_count":11,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}}]}]}