我正在尝试通过以下方式进行人脸识别主成分分析(PCA)使用Python。
现在我能够获得训练图像之间的最小欧几里德距离images
和输入图像input_image
。这是我的代码:
import os
from PIL import Image
import numpy as np
import glob
import numpy.linalg as linalg
#Step1: put database images into a 2D array
filenames = glob.glob('C:\\Users\\me\\Downloads\\/*.pgm')
filenames.sort()
img = [Image.open(fn).convert('L').resize((90, 90)) for fn in filenames]
images = np.asarray([np.array(im).flatten() for im in img])
#Step 2: find the mean image and the mean-shifted input images
mean_image = images.mean(axis=0)
shifted_images = images - mean_image
#Step 3: Covariance
c = np.asmatrix(shifted_images) * np.asmatrix(shifted_images.T)
#Step 4: Sorted eigenvalues and eigenvectors
eigenvalues,eigenvectors = linalg.eig(c)
idx = np.argsort(-eigenvalues)
eigenvalues = eigenvalues[idx]
eigenvectors = eigenvectors[:, idx]
#Step 5: Only keep the top 'num_eigenfaces' eigenvectors
num_components = 20
eigenvalues = eigenvalues[0:num_components].copy()
eigenvectors = eigenvectors[:, 0:num_components].copy()
#Step 6: Finding weights
w = eigenvectors.T * np.asmatrix(shifted_images)
# check eigenvectors.T/eigenvectors
#Step 7: Input image
input_image = Image.open('C:\\Users\\me\\Test\\5.pgm').convert('L').resize((90, 90))
input_image = np.asarray(input_image).flatten()
#Step 8: get the normalized image, covariance,
# eigenvalues and eigenvectors for input image
shifted_in = input_image - mean_image
c = np.cov(input_image)
cmat = c.reshape(1,1)
eigenvalues_in, eigenvectors_in = linalg.eig(cmat)
#Step 9: Find weights of input image
w_in = eigenvectors_in.T * np.asmatrix(shifted_in)
# check eigenvectors/eigenvectors_in
#Step 10: Euclidean distance
d = np.sqrt(np.sum(np.asarray(w - w_in)**2, axis=1))
idx = np.argmin(d)
print idx
我现在的问题是我想返回图像(或其在数组中的索引)images
) 具有最小欧氏距离不是它在距离数组中的索引d
我不相信您已经修改了图像存储的顺序w
与在images
,因此,idx
from np.argmin(d)
应该是相同的索引images
列出,所以
images[idx]
应该是你想要的图像。
当然,
images[idx].shape
会给(1800,)
因为它仍然是扁平的。如果你想把它展平,你可以这样做:
images[idx].reshape(90,90)
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