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/functions.py:
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1 | # import tensorflow as tf
2 | import numpy as np
3 | import matplotlib.pyplot as plt
4 | import matplotlib
5 | import cv2
6 | import pandas as pd
7 |
8 |
9 | # sml algorithm
10 | def sml():
11 | # load picture:
12 | # w1:
13 | t_d1 = load_picture("D:/ML_project/WebSearchHW/dataset/w1/")
14 | # w2:
15 | t_d2 = load_picture("D:/ML_project/WebSearchHW/dataset/w2/")
16 | # w3:
17 | t_d3 = load_picture("D:/ML_project/WebSearchHW/dataset/w3/")
18 | # w4:
19 | t_d4 = load_picture("D:/ML_project/WebSearchHW/dataset/w4/")
20 |
21 | # ################################USING-MATRIX-TO-CALCULATE###################################
22 |
23 | print("loading picture...")
24 | # for each picture I in w1/w2/w3/w4:
25 | # split the picture I in to N regions: 8×8 size, overlap length is 2.
26 | spl_t_d1 = split_picture(t_d1)
27 | spl_t_d2 = split_picture(t_d2)
28 | spl_t_d3 = split_picture(t_d3)
29 | spl_t_d4 = split_picture(t_d4)
30 |
31 | print("DCT")
32 | # for each split picture calculate its DCT
33 | dct_spl_t_d1 = dct(spl_t_d1)
34 | dct_spl_t_d2 = dct(spl_t_d2)
35 | dct_spl_t_d3 = dct(spl_t_d3)
36 | dct_spl_t_d4 = dct(spl_t_d4)
37 |
38 | # # for each DCT picture rearrange it by its channels.
39 | # r_dct_spl_t_d1 = rearrange(dct_spl_t_d1)
40 | # r_dct_spl_t_d2 = rearrange(dct_spl_t_d2)
41 | # r_dct_spl_t_d3 = rearrange(dct_spl_t_d3)
42 | # r_dct_spl_t_d4 = rearrange(dct_spl_t_d4)
43 |
44 | # # compress the rearranged DCT
45 | # cp_dct_d1 = compress_dct(dct_spl_t_d1)
46 | # cp_dct_d2 = compress_dct(dct_spl_t_d2)
47 | # cp_dct_d3 = compress_dct(dct_spl_t_d3)
48 | # cp_dct_d4 = compress_dct(dct_spl_t_d4)
49 |
50 | print("K-means")
51 | # k-means to initialize mu:
52 | mu_d1, pi_d1 = k_means(dct_spl_t_d1)
53 | mu_d2, pi_d2 = k_means(dct_spl_t_d2)
54 | mu_d3, pi_d3 = k_means(dct_spl_t_d3)
55 | mu_d4, pi_d4 = k_means(dct_spl_t_d4)
56 |
57 | print("image EM")
58 | # for each picture I, estimate Gaussian distribution with EM algorithm(Using 4 Gaussian distributions)
59 | mu_d1, sigma_d1, pi_d1 = single_em(dct_spl_t_d1, mu_d1, pi_d1)
60 | mu_d2, sigma_d2, pi_d2 = single_em(dct_spl_t_d2, mu_d2, pi_d2)
61 | mu_d3, sigma_d3, pi_d3 = single_em(dct_spl_t_d3, mu_d3, pi_d3)
62 | mu_d4, sigma_d4, pi_d4 = single_em(dct_spl_t_d4, mu_d4, pi_d4)
63 |
64 | # ################################THE-END-OF-THIS-CALCULATION####################################
65 |
66 | print("class K-means")
67 | # k-means for ex_em:
68 | mu_class_d1, pi_class_d1 = k_means_ex_em(mu_d1)
69 | mu_class_d2, pi_class_d2 = k_means_ex_em(mu_d2)
70 | mu_class_d3, pi_class_d3 = k_means_ex_em(mu_d3)
71 | mu_class_d4, pi_class_d4 = k_means_ex_em(mu_d4)
72 |
73 | print("class EM")
74 | # for each w1/w2/w3/w4, estimate all pictures' Gaussian distributions
75 | # using extended EM algorithm with 16 Gaussian distributions.
76 | class_mu_d1, class_sigma_d1, class_pi_d1 = ex_em(mu_d1, mu_class_d1, pi_class_d1)
77 | class_mu_d2, class_sigma_d2, class_pi_d2 = ex_em(mu_d2, mu_class_d2, pi_class_d2)
78 | class_mu_d3, class_sigma_d3, class_pi_d3 = ex_em(mu_d3, mu_class_d3, pi_class_d3)
79 | class_mu_d4, class_sigma_d4, class_pi_d4 = ex_em(mu_d4, mu_class_d4, pi_class_d4)
80 |
81 | # save the converged model information in a python dictionary:
82 | w1 = {
83 | # 'img_mu': mu_d1,
84 | # 'img_sigma': sigma_d1,
85 | # 'img_pi': pi_d1,
86 | 'class_mu': class_mu_d1,
87 | 'class_sigma': class_sigma_d1,
88 | 'class_pi': class_pi_d1
89 | }
90 | df_class_mu_d1 = pd.DataFrame(class_mu_d1)
91 | df_class_mu_d1.to_csv("classModel/w1/class_mu.csv", index=False)
92 | df_class_sigma_d1 = pd.DataFrame(class_sigma_d1.reshape(class_sigma_d1.shape[0],
93 | class_sigma_d1.shape[1] * class_sigma_d1.shape[2]))
94 | df_class_sigma_d1.to_csv("classModel/w1/class_sigma.csv", index=False)
95 | df_class_pi_d1 = pd.DataFrame(class_pi_d1)
96 | df_class_pi_d1.to_csv("classModel/w1/class_pi.csv", index=False)
97 | w2 = {
98 | # 'img_mu': mu_d2,
99 | # 'img_sigma': sigma_d2,
100 | # 'img_pi': pi_d2,
101 | 'class_mu': class_mu_d2,
102 | 'class_sigma': class_sigma_d2,
103 | 'class_pi': class_pi_d2
104 | }
105 | df_class_mu_d2 = pd.DataFrame(class_mu_d2)
106 | df_class_mu_d2.to_csv("classModel/w2/class_mu.csv", index=False)
107 | df_class_sigma_d2 = pd.DataFrame(class_sigma_d2.reshape(class_sigma_d2.shape[0],
108 | class_sigma_d2.shape[1] * class_sigma_d2.shape[2]))
109 | df_class_sigma_d2.to_csv("classModel/w2/class_sigma.csv", index=False)
110 | df_class_pi_d2 = pd.DataFrame(class_pi_d2)
111 | df_class_pi_d2.to_csv("classModel/w2/class_pi.csv", index=False)
112 | w3 = {
113 | # 'img_mu': mu_d3,
114 | # 'img_sigma': sigma_d3,
115 | # 'img_pi': pi_d3,
116 | 'class_mu': class_mu_d3,
117 | 'class_sigma': class_sigma_d3,
118 | 'class_pi': class_pi_d3
119 | }
120 | df_class_mu_d3 = pd.DataFrame(class_mu_d3)
121 | df_class_mu_d3.to_csv("classModel/w3/class_mu.csv", index=False)
122 | df_class_sigma_d3 = pd.DataFrame(class_sigma_d3.reshape(class_sigma_d3.shape[0],
123 | class_sigma_d3.shape[1] * class_sigma_d3.shape[2]))
124 | df_class_sigma_d3.to_csv("classModel/w3/class_sigma.csv", index=False)
125 | df_class_pi_d3 = pd.DataFrame(class_pi_d3)
126 | df_class_pi_d3.to_csv("classModel/w3/class_pi.csv", index=False)
127 | w4 = {
128 | # 'img_mu': mu_d4,
129 | # 'img_sigma': sigma_d4,
130 | # 'img_pi': pi_d4,
131 | 'class_mu': class_mu_d4,
132 | 'class_sigma': class_sigma_d4,
133 | 'class_pi': class_pi_d4
134 | }
135 | df_class_mu_d4 = pd.DataFrame(class_mu_d4)
136 | df_class_mu_d4.to_csv("classModel/w4/class_mu.csv", index=False)
137 | df_class_sigma_d4 = pd.DataFrame(class_sigma_d4.reshape(class_sigma_d4.shape[0],
138 | class_sigma_d4.shape[1] * class_sigma_d4.shape[2]))
139 | df_class_sigma_d4.to_csv("classModel/w4/class_sigma.csv", index=False)
140 | df_class_pi_d4 = pd.DataFrame(class_pi_d4)
141 | df_class_pi_d4.to_csv("classModel/w4/class_pi.csv", index=False)
142 |
143 | print("testing...")
144 | # test test pictures.
145 | idx = label("D:/ML_project/WebSearchHW/dataset/test.jpg", w1, w2, w3, w4)
146 | print("the thing in the test picture is: w" + str(idx))
147 |
148 |
149 | # load picture function:
150 | def load_picture(path):
151 | img = np.zeros((10, 300, 450, 3)) # 初始化读取的图像,共10张图片,每张图片300行450列3通道
152 | for i in range(10):
153 | img[i, :, :, :] = matplotlib.image.imread(path + str(i + 1) + '.jpg')
154 | return img
155 |
156 |
157 | # split picture:
158 | def split_picture(img):
159 | n_width = int((img.shape[2] - 6) / 2) # 计算切分后,在列上一共有多少块
160 | n_height = int((img.shape[1] - 6) / 2) # 计算切分后,在行上一共有多少块
161 | n = n_width * n_height # 所有的一共有多少块
162 | spl_img = np.zeros((10, n, 8, 8, 3)) # 初始化切分后的图像。每一张图片分为n块,每块像素为8*8,3个通道。
163 | for i in range(10): # 对每张图片
164 | for ni in range(n):
165 | row = int(ni / n_width) # 计算处在第几行
166 | column = ni % n_width # 计算处在第几列
167 | spl_img[i, ni, :, :, :] = img[i, row:row + 8, column:column + 8, :] # 将img的像素放到spl_img中
168 | return spl_img
169 |
170 |
171 | # split picture for single image:
172 | def split_picture_single_image(img):
173 | n_width = int((img.shape[1] - 6) / 2) # 计算切分后,在列上一共有多少块
174 | n_height = int((img.shape[0] - 6) / 2) # 计算切分后,在行上一共有多少块
175 | n = n_width * n_height # 所有的一共有多少块
176 | spl_img = np.zeros((n, 8, 8, 3)) # 初始化切分后的图像。每一张图片分为n块,每块像素为8*8,3个通道。
177 | for ni in range(n):
178 | row = int(ni / n_width) # 计算处在第几行
179 | column = ni % n_width # 计算处在第几列
180 | spl_img[ni, :, :, :] = img[row:row + 8, column:column + 8, :] # 将img的像素放到spl_img中
181 | return spl_img
182 |
183 |
184 | # dct:
185 | def dct(spl_img):
186 | dct_spl_img = np.zeros(spl_img.shape)
187 | cmp_dct_spl_img = np.zeros((dct_spl_img.shape[0], dct_spl_img.shape[1], int(dct_spl_img.shape[2] / 4),
188 | int(dct_spl_img.shape[3] / 4), int(dct_spl_img.shape[4])))
189 | fl_cmp_dct = np.zeros((cmp_dct_spl_img.shape[0], cmp_dct_spl_img.shape[1],
190 | cmp_dct_spl_img.shape[2] * cmp_dct_spl_img.shape[3], cmp_dct_spl_img.shape[4]))
191 | shuffle_fl = np.zeros((fl_cmp_dct.shape[0], fl_cmp_dct.shape[1], fl_cmp_dct.shape[2] * fl_cmp_dct.shape[3]))
192 | for i in range(spl_img.shape[0]): # 数据集的大小,在一个语义中有多少张图片
193 | for ni in range(spl_img.shape[1]): # 一张图片被分为了n个区域,然后对每个区域进行操作
194 | for c in range(spl_img.shape[4]): # 一张图片共有三个通道。
195 | dct_spl_img[i, ni, :, :, c] = cv2.dct(spl_img[i, ni, :, :, c]) # calculate split image's dct
196 | cmp_dct_spl_img[i, ni, :, :, c] = dct_spl_img[i, ni, 0:2, 0:2, c] # 压缩图像,只取图像左上角。
197 | fl_cmp_dct[i, ni, :, c] = cmp_dct_spl_img[i, ni, :, :, c].reshape((2 * 2)) # 将图像像素扁平化
198 | shuffle_fl[i, ni, :] = fl_cmp_dct[i, ni, :, :].T.reshape((fl_cmp_dct.shape[2] * fl_cmp_dct.shape[3]))
199 | # 将三个通道交错排列。将每一个区域变为1维。
200 | return shuffle_fl
201 |
202 |
203 | # # rearrange:
204 | # def rearrange(dct_img):
205 | # r_dct_img = np.zeros((dct_img.shape[0], dct_img.shape[1]*dct_img.shape[2]))
206 | # for i in range(dct_img.shape[0]):
207 | # r_dct_img[i, :] = dct_img[i, :, :].T.reshape((dct_img.shape[1]*dct_img.shape[2]))
208 | # return r_dct_img
209 |
210 |
211 | # # compress the rearranged DCT
212 | # def compress_dct(dct_spl_img):
213 | # return r_dct_img[:, 0:int(r_dct_img.shape[1]/2)] # 将数据压缩一半
214 |
215 |
216 | # K-means for single EM algorithm:
217 | def k_means(shuffle_fl):
218 | mu = np.random.randn(shuffle_fl.shape[0], 4, shuffle_fl.shape[2]) # 随机初始化四个均值
219 | kn = int(shuffle_fl.shape[1] / 4)
220 | pi_all = np.ones((shuffle_fl.shape[0], 4)) / 4 # 初始化每个高斯分布的概率值
221 | for m in range(shuffle_fl.shape[0]): # 一共10张图片
222 | for k in range(mu.shape[1]):
223 | mu[m, k, :] = np.mean(shuffle_fl[m, k * kn:k * kn + kn, :], axis=0) # 等分N个区域,并求出四个类中的均值,以此初始化。
224 | c = np.zeros(shuffle_fl.shape[1])
225 | for n in range(10): # 迭代10次。
226 | for m in range(shuffle_fl.shape[0]): # 一共10张图片
227 | for i in range(shuffle_fl.shape[1]): # 每张图片共有N个区域
228 | c[i] = np.linalg.norm(shuffle_fl[m, i, :] - mu[m, 0, :], ord=2)
229 | idx = 0
230 | for j in range(mu.shape[1]):
231 | cm = np.linalg.norm(shuffle_fl[m, i, :] - mu[m, j, :], ord=2)
232 | if c[i] > cm:
233 | c[i] = cm
234 | idx = j
235 | c[i] = idx
236 | for j in range(mu.shape[1]):
237 | mu[m, j, :] = np.zeros((mu.shape[2]))
238 | cj = (c == j) + 0
239 | mu[m, j, :] = np.sum(np.tile(cj.reshape((cj.shape[0], 1)),
240 | shuffle_fl.shape[2]) * shuffle_fl[m, :, :], axis=0)
241 | # print("np.sum(c"+str(j)+"):")
242 | # print(np.sum(cj))
243 | if np.sum(cj) != 0:
244 | mu[m, j, :] = mu[m, j, :] / np.sum(cj)
245 | else:
246 | mu[m, j, :] = np.mean(shuffle_fl[m, :, :], axis=0)
247 | pi_all[m, j] = np.sum(cj) / shuffle_fl.shape[1]
248 | # print("c")
249 | # print(c)
250 |
251 | return mu, pi_all
252 |
253 |
254 | # Gaussian distribution:
255 | def gaussian(x, mu, sigma):
256 | d = int(x.shape[0])
257 | return np.exp(-np.dot(np.dot((x - mu).T, np.linalg.inv(sigma)),
258 | (x - mu)) / 2) / (np.power(2 * np.pi, d / 2) * np.power(np.abs(np.linalg.det(sigma)), 0.5))
259 |
260 |
261 | # Gaussian distribution (sigma matrix calculating with pseudo inverse):
262 | def gaussian_pinv(x, mu, sigma):
263 | d = int(x.shape[0])
264 | return np.exp(-np.dot(np.dot((x - mu).T, np.linalg.pinv(sigma)),
265 | (x - mu)) / 2) * np.power(np.abs(np.linalg.det(np.linalg.pinv(sigma))), 0.5) / \
266 | np.power(2 * np.pi, d / 2)
267 |
268 |
269 | # single EM algorithm:
270 | def single_em(img, mu_all, pi_all):
271 | sigma_all = np.random.randn(img.shape[0], 4, img.shape[2], img.shape[2])
272 | for m in range(img.shape[0]): # 对每一张图片
273 | x = img[m, :, :]
274 | mu = mu_all[m, :, :]
275 | # 图像的GMM为4个分量:
276 | pi = pi_all[m, :]
277 | gamma = np.zeros((x.shape[0], 4))
278 | sigma = np.random.randn(4, x.shape[1], x.shape[1])
279 | for k in range(4):
280 | sigma[k, :, :] = np.dot((x - mu[k, :]).T, x - mu[k, :]) / (x.shape[0] - 1)
281 | for i in range(3): # 反复执行EM步骤10次
282 | # E-step:
283 | sum_ = np.zeros((x.shape[0]))
284 | for n in range(x.shape[0]):
285 | for k in range(4):
286 | if np.linalg.det(sigma[k, :, :]) == 0:
287 | sum_[n] += pi[k] * gaussian_pinv(x[n, :], mu[k, :], sigma[k, :, :])
288 | else:
289 | sum_[n] += pi[k] * gaussian(x[n, :], mu[k, :], sigma[k, :, :])
290 | for n in range(x.shape[0]):
291 | for k in range(4):
292 | if np.linalg.det(sigma[k, :, :]) == 0:
293 | gamma[n, k] = pi[k] * gaussian_pinv(x[n, :], mu[k, :], sigma[k, :, :]) / sum_[n]
294 | else:
295 | gamma[n, k] = pi[k] * gaussian(x[n, :], mu[k, :], sigma[k, :, :]) / sum_[n]
296 | nk = np.sum(gamma, axis=0)
297 | # M-step:
298 | for k in range(4):
299 | mu[k] = np.sum(np.tile(gamma[:, k].reshape(gamma.shape[0], 1), x.shape[1]) * x, axis=0) / nk[k]
300 | sigma[k] = np.zeros((x.shape[1], x.shape[1]))
301 | for n in range(x.shape[0]):
302 | x_mu = x[n, :] - mu[k]
303 | sigma[k] += gamma[n, k] * np.dot(x_mu.reshape((x_mu.shape[0], 1)),
304 | x_mu.reshape((x_mu.shape[0], 1)).T)
305 | sigma[k] = sigma[k] / nk[k]
306 | pi[k] = nk[k] / x.shape[0]
307 | mu_all[m, :, :] = mu
308 | sigma_all[m, :, :, :] = sigma
309 | pi_all[m, :] = pi
310 | return mu_all, sigma_all, pi_all
311 |
312 |
313 | # K-means for extended EM algorithm:
314 | def k_means_ex_em(img_mu):
315 | mu = np.random.randn(16, img_mu.shape[2]) # 随机初始化16个均值,对应16个高斯混合分布
316 | c = np.zeros((img_mu.shape[0] * img_mu.shape[1]))
317 | pi = np.ones(16) / 16
318 | calc_img_mu = img_mu.reshape((img_mu.shape[0] * img_mu.shape[1], img_mu.shape[2]))
319 | kn = int(calc_img_mu.shape[0] / 16)
320 | for k in range(16):
321 | mu[k, :] = np.mean(calc_img_mu[k * kn:(k + 1) * kn, :], axis=0)
322 | for n in range(3): # 迭代100次。
323 | for i in range(calc_img_mu.shape[0]): # 数据集总数×图像高斯混合分布的个数
324 | c[i] = np.linalg.norm(calc_img_mu[i, :] - mu[0, :], ord=2)
325 | idx = 0
326 | for j in range(mu.shape[0]):
327 | cm = np.linalg.norm(calc_img_mu[i, :] - mu[j, :], ord=2)
328 | if c[i] > cm:
329 | c[i] = cm
330 | idx = j
331 | c[i] = idx
332 | # print("c")
333 | # print(c)
334 | for j in range(mu.shape[0]):
335 | mu[j, :] = np.zeros((mu.shape[1]))
336 | cj = ((c == j) + 0)
337 | mu[j, :] = np.sum(np.tile(cj.reshape((cj.shape[0], 1)), calc_img_mu.shape[1]) * calc_img_mu, axis=0)
338 | if np.sum(cj) != 0:
339 | mu[j, :] = mu[j, :] / np.sum(cj)
340 | else:
341 | mu[j, :] = np.mean(calc_img_mu, axis=0)
342 | pi[j] = np.sum(cj) / calc_img_mu.shape[0]
343 | return mu, pi
344 |
345 |
346 | # extended EM algorithm:
347 | def ex_em(img_mu, class_mu, class_pi):
348 | class_sigma = np.random.randn(class_mu.shape[0], class_mu.shape[1], class_mu.shape[1])
349 | all_img_mu = img_mu.reshape((img_mu.shape[0] * img_mu.shape[1], img_mu.shape[2]))
350 | gamma = np.zeros((all_img_mu.shape[0], class_mu.shape[0]))
351 | for k in range(class_sigma.shape[0]):
352 | class_sigma[k, :, :] = np.dot((all_img_mu - class_mu[k, :]).T, all_img_mu - class_mu[k, :]) \
353 | / (all_img_mu.shape[0] - 1)
354 |
355 | for em in range(3): # 反复执行EM步骤100次
356 | # E-step:
357 | sum_ = np.zeros((all_img_mu.shape[0]))
358 | for n in range(all_img_mu.shape[0]):
359 | for k in range(class_mu.shape[0]):
360 | if np.linalg.det(class_sigma[k]) == 0:
361 | sum_[n] += class_pi[k] * gaussian_pinv(all_img_mu[n, :], class_mu[k, :], class_sigma[k, :, :])
362 | else:
363 | sum_[n] += class_pi[k] * gaussian(all_img_mu[n, :], class_mu[k, :], class_sigma[k, :, :])
364 | # print("sum:")
365 | # print(sum_)
366 | for n in range(all_img_mu.shape[0]):
367 | for k in range(class_mu.shape[0]):
368 | if np.linalg.det(class_sigma[k]) == 0:
369 | gamma[n, k] = class_pi[k] * gaussian_pinv(all_img_mu[n, :], class_mu[k, :], class_sigma[k, :, :]) \
370 | / sum_[n]
371 | else:
372 | gamma[n, k] = class_pi[k] * gaussian(all_img_mu[n, :], class_mu[k, :], class_sigma[k, :, :]) / \
373 | sum_[n]
374 | nk = np.sum(gamma, axis=0)
375 | # print("nk:")
376 | # print(nk)
377 | # M-step:
378 | for k in range(class_sigma.shape[0]):
379 | if nk[k] == 0:
380 | class_mu[k] = np.sum(np.tile(gamma[:, k].reshape(gamma.shape[0], 1), all_img_mu.shape[1]) * all_img_mu,
381 | axis=0) / all_img_mu.shape[0]
382 | else:
383 | class_mu[k] = np.sum(np.tile(gamma[:, k].reshape(gamma.shape[0], 1), all_img_mu.shape[1]) * all_img_mu,
384 | axis=0) / nk[k]
385 | class_sigma[k] = np.zeros((class_sigma.shape[1], class_sigma.shape[2]))
386 | for n in range(all_img_mu.shape[0]):
387 | ac_mu = all_img_mu[n, :] - class_mu[k, :]
388 | class_sigma[k, :, :] += gamma[n, k] * np.dot(ac_mu.reshape((ac_mu.shape[0], 1)),
389 | ac_mu.reshape((ac_mu.shape[0], 1)).T)
390 | if nk[k] == 0:
391 | class_sigma[k, :, :] = class_sigma[k, :, :] / all_img_mu.shape[0]
392 | class_pi[k] = 0
393 | else:
394 | class_sigma[k] = class_sigma[k] / nk[k]
395 | class_pi[k] = nk[k] / all_img_mu.shape[0]
396 |
397 | # for em in range(10): # 反复执行EM步骤100次
398 | # # E-step:
399 | # for j in range(img_mu.shape[0]): # j=1,...,|Di|即语义为w的数据集的总大小
400 | # for k in range(img_mu.shape[1]): # k=1,...,K即图像的混合高斯分布一共有多少个高斯分量,本程序中为4个。书中为8个。
401 | # sum_ = 0
402 | # for m in range(16): # 16个高斯混合分量
403 | # sum_ += np.power(gaussian(img_mu[j, k, :], class_mu[m, :], class_sigma[m, :, :]) * np.exp(
404 | # -np.trace(np.dot(np.linalg.inv(class_sigma[m, :, :]), img_sigma[j, k, :, :]))), img_pi[j, k])\
405 | # *class_pi[m]
406 | # for m in range(16):
407 | # h[m, j, k] = np.power(gaussian(img_mu[j, k, :], class_mu[m, :], class_sigma[m, :, :]) * np.exp(
408 | # -np.trace(np.dot(np.linalg.inv(class_sigma[m, :, :]), img_sigma[j, k, :, :]))), img_pi[j, k])\
409 | # *class_pi[m] / sum_
410 | # # M-step:
411 | # for m in range(16): # 16个高斯混合分量
412 | # class_pi[m] = np.sum(h[m, :, :]) / (img_mu.shape[0] * img_mu.shape[1])
413 | # wm = np.zeros((img_mu.shape[0], img_mu.shape[1]))
414 | # class_mu[m, :] = np.zeros(class_mu.shape[1])
415 | # class_sigma[m, :, :] = np.zeros((class_sigma.shape[1], class_sigma.shape[2]))
416 | # for j in range(img_mu.shape[0]):
417 | # for k in range(img_mu.shape[1]):
418 | # wm[j, k] = h[m, j, k] * img_pi[j, k] / np.sum(h[m, :, :] * img_pi)
419 | # class_mu[m, :] += wm[j, k] * img_mu[j, k, :]
420 | # class_sigma += wm[j, k] * (img_sigma[j, k, :, :] + np.power(img_mu[j, k, :] - class_mu[m, :], 2))
421 | return class_mu, class_sigma, class_pi
422 |
423 |
424 | # label the picture:
425 | def label(path, w1, w2, w3, w4):
426 | # img_mu1 = w1['img_mu']
427 | # img_sigma1 = w1['img_sigma']
428 | # img_pi1 = w1['img_pi']
429 | class_mu1 = w1['class_mu']
430 | class_sigma1 = w1['class_sigma']
431 | class_pi1 = w1['class_pi']
432 |
433 | # img_mu2 = w2['img_mu']
434 | # img_sigma2 = w2['img_sigma']
435 | # img_pi2 = w2['img_pi']
436 | class_mu2 = w2['class_mu']
437 | class_sigma2 = w2['class_sigma']
438 | class_pi2 = w2['class_pi']
439 |
440 | # img_mu3 = w3['img_mu']
441 | # img_sigma3 = w3['img_sigma']
442 | # img_pi3 = w3['img_pi']
443 | class_mu3 = w3['class_mu']
444 | class_sigma3 = w3['class_sigma']
445 | class_pi3 = w3['class_pi']
446 |
447 | # img_mu4 = w4['img_mu']
448 | # img_sigma4 = w4['img_sigma']
449 | # img_pi4 = w4['img_pi']
450 | class_mu4 = w4['class_mu']
451 | class_sigma4 = w4['class_sigma']
452 | class_pi4 = w4['class_pi']
453 |
454 | img = matplotlib.image.imread(path)
455 | spl_img = split_picture_single_image(img)
456 | spl_img = spl_img.reshape((1, spl_img.shape[0], spl_img.shape[1], spl_img.shape[2], spl_img.shape[3]))
457 | dct_img = dct(spl_img)
458 |
459 | # print(dct_img.shape)
460 | # print(class_mu1.shape)
461 | # print(class_sigma1.shape)
462 |
463 | p = np.zeros(4)
464 | # q = np.zeros(4)
465 | for n in range(dct_img.shape[1]):
466 | for k in range(16):
467 | if np.linalg.det(class_sigma1[k, :, :]) == 0:
468 | p[0] += class_pi1[k] * gaussian_pinv(dct_img[0, n, :], class_mu1[k, :], class_sigma1[k, :, :])
469 | else:
470 | p[0] += class_pi1[k] * gaussian(dct_img[0, n, :], class_mu1[k, :], class_sigma1[k, :, :])
471 | # if p[0] != 0:
472 | # q[0] += np.log(p[0])
473 | for k in range(16):
474 | if np.linalg.det(class_sigma2[k, :, :]) == 0:
475 | p[1] += class_pi2[k] * gaussian_pinv(dct_img[0, n, :], class_mu2[k, :], class_sigma2[k, :, :])
476 | else:
477 | p[1] += class_pi2[k] * gaussian(dct_img[0, n, :], class_mu2[k, :], class_sigma2[k, :, :])
478 | # if p[1] != 0:
479 | # q[1] += np.log(p[1])
480 | for k in range(16):
481 | if np.linalg.det(class_sigma3[k, :, :]) == 0:
482 | p[2] += class_pi3[k] * gaussian_pinv(dct_img[0, n, :], class_mu3[k, :], class_sigma3[k, :, :])
483 | else:
484 | p[2] += class_pi3[k] * gaussian(dct_img[0, n, :], class_mu3[k, :], class_sigma3[k, :, :])
485 | # if p[2] != 0:
486 | # q[2] += np.log(p[2])
487 | for k in range(16):
488 | if np.linalg.det(class_sigma4[k, :, :]) == 0:
489 | p[3] += class_pi4[k] * gaussian_pinv(dct_img[0, n, :], class_mu4[k, :], class_sigma4[k, :, :])
490 | else:
491 | p[3] += class_pi4[k] * gaussian(dct_img[0, n, :], class_mu4[k, :], class_sigma4[k, :, :])
492 | # if p[3] != 0:
493 | # q[3] += np.log(p[3])
494 |
495 | idx = np.argmax(p)
496 |
497 | return idx + 1
498 |
--------------------------------------------------------------------------------
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--------------------------------------------------------------------------------
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