Below is the code in python to implement a (2,4)2VCS scheme. Here "img.jpg"
is the image that is to be shared. For testing purpose, save an image with
the same name in the directory that you'll be running the program in.
share1, share2, share3, share4 are the 4 shares that are generated. If you
combine any of these two using the cv2.add() function in python, you'll get
the secret image. I have added the code for the combination below as well.
The results are saved as res12 and so on. The program takes around 1-5
minutes depending on the size of the image.
import numpy as np
import cv2
import random
e1 = cv2.getTickCount()
# your code execution
#loading image in grayscale : 0
image = cv2.imread('img.jpg',0)
#converting the image to bw; threshold determined by Otsu's method
(thresh, img_s) = cv2.threshold(image, 128, 255, cv2.THRESH_BINARY |
cv2.THRESH_OTSU)
#saving bw image
cv2.imwrite('bw_image.jpg', img_s)
#size of the image
size = img_s.shape
h = size[0]
b = size[1]
#print img_s.dtype
#size of share : proportional to pixel exapnsion
H = h*2
B = (b/2)*3
#creating blank shares
share1 = np.zeros((H,B),np.uint8)
cv2.imwrite('share1.jpg', share1)
share2 = np.zeros((H,B),np.uint8)
cv2.imwrite('share2.jpg', share2)
share3 = np.zeros((H,B),np.uint8)
cv2.imwrite('share3.jpg', share3)
share4 = np.zeros((H,B),np.uint8)
cv2.imwrite('share4.jpg', share4)
#white : 255; black : o
l = 0
w = 255
#basis matrices :
s0 = [[l,l,l,w,w,w],
[l,l,l,w,w,w],
[l,l,l,w,w,w],
[l,l,l,w,w,w]]
s1 = [[l,l,l,w,w,w],
[l,w,w,l,l,w],
[w,l,w,l,w,l],
[w,w,l,w,l,l]]
s2 = [[l,l,l,w,w,w],
[l,l,w,l,w,w],
[l,l,w,w,l,w],
[l,l,w,w,w,l]]
#for generation of random permutation
arr = random.sample([0,1,2,3,4,5],6)
#i moves by 1, j moves by 2 since 2 consecutive pixels are being encrypted
each time
for i in range(0,h):
for j in range(0,(b-1)):
arr = random.sample([0,1,2,3,4,5],6)
p1 = img_s[i,j]
p2 = img_s[i,j+1]
ps1 = i*2
ps2 = (j/2)*3
print arr
if (p1==255 and p2==255):
#both pixels are black
#share1
share1[ps1,ps2] = s1[0][arr[0]]
share1[ps1,(ps2+1)] = s1[0][arr[1]]
share1[ps1,(ps2+2)] = s1[0][arr[2]]
share1[(ps1+1),ps2] = s1[0][arr[3]]
share1[(ps1+1),(ps2+1)] = s1[0][arr[4]]
share1[(ps1+1),(ps2+2)] = s1[0][arr[5]]
#share2
share2[ps1,ps2] = s1[1][arr[0]]
share2[ps1,(ps2+1)] = s1[1][arr[1]]
share2[ps1,(ps2+2)] = s1[1][arr[2]]
share2[(ps1+1),ps2] = s1[1][arr[3]]
share2[(ps1+1),(ps2+1)] = s1[1][arr[4]]
share2[(ps1+1),(ps2+2)] = s1[1][arr[5]]
#share3
share3[ps1,ps2] = s1[2][arr[0]]
share3[ps1,(ps2+1)] = s1[2][arr[1]]
share3[ps1,(ps2+2)] = s1[2][arr[2]]
share3[(ps1+1),ps2] = s1[2][arr[3]]
share3[(ps1+1),(ps2+1)] = s1[2][arr[4]]
share3[(ps1+1),(ps2+2)] = s1[2][arr[5]]
#share4
share4[ps1,ps2] = s1[3][arr[0]]
share4[ps1,(ps2+1)] = s1[3][arr[1]]
share4[ps1,(ps2+2)] = s1[3][arr[2]]
share4[(ps1+1),ps2] = s1[3][arr[3]]
share4[(ps1+1),(ps2+1)] = s1[3][arr[4]]
share4[(ps1+1),(ps2+2)] = s1[3][arr[5]]
elif (p1==0 and p2==0):
#both pixels are white
#share1
share1[ps1,ps2] = s0[0][arr[0]]
share1[ps1,(ps2+1)] = s0[0][arr[1]]
share1[ps1,(ps2+2)] = s0[0][arr[2]]
share1[(ps1+1),ps2] = s0[0][arr[3]]
share1[(ps1+1),(ps2+1)] = s0[0][arr[4]]
share1[(ps1+1),(ps2+2)] = s0[0][arr[5]]
#share2
share2[ps1,ps2] = s0[1][arr[0]]
share2[ps1,(ps2+1)] = s0[1][arr[1]]
share2[ps1,(ps2+2)] = s0[1][arr[2]]
share2[(ps1+1),ps2] = s0[1][arr[3]]
share2[(ps1+1),(ps2+1)] = s0[1][arr[4]]
share2[(ps1+1),(ps2+2)] = s0[1][arr[5]]
#share3
share3[ps1,ps2] = s0[2][arr[0]]
share3[ps1,(ps2+1)] = s0[2][arr[1]]
share3[ps1,(ps2+2)] = s0[2][arr[2]]
share3[(ps1+1),ps2] = s0[2][arr[3]]
share3[(ps1+1),(ps2+1)] = s0[2][arr[4]]
share3[(ps1+1),(ps2+2)] = s0[2][arr[5]]
#share4
share4[ps1,ps2] = s0[3][arr[0]]
share4[ps1,(ps2+1)] = s0[3][arr[1]]
share4[ps1,(ps2+2)] = s0[3][arr[2]]
share4[(ps1+1),ps2] = s0[3][arr[3]]
share4[(ps1+1),(ps2+1)] = s0[3][arr[4]]
share4[(ps1+1),(ps2+2)] = s0[3][arr[5]]
else:
#b/w
#share1
share1[ps1,ps2] = s2[0][arr[0]]
share1[ps1,(ps2+1)] = s2[0][arr[1]]
share1[ps1,(ps2+2)] = s2[0][arr[2]]
share1[(ps1+1),ps2] = s2[0][arr[3]]
share1[(ps1+1),(ps2+1)] = s2[0][arr[4]]
share1[(ps1+1),(ps2+2)] = s2[0][arr[5]]
#share2
share2[ps1,ps2] = s2[1][arr[0]]
share2[ps1,(ps2+1)] = s2[1][arr[1]]
share2[ps1,(ps2+2)] = s2[1][arr[2]]
share2[(ps1+1),ps2] = s2[1][arr[3]]
share2[(ps1+1),(ps2+1)] = s2[1][arr[4]]
share2[(ps1+1),(ps2+2)] = s2[1][arr[5]]
#share3
share3[ps1,ps2] = s2[2][arr[0]]
share3[ps1,(ps2+1)] = s2[2][arr[1]]
share3[ps1,(ps2+2)] = s2[2][arr[2]]
share3[(ps1+1),ps2] = s2[2][arr[3]]
share3[(ps1+1),(ps2+1)] = s2[2][arr[4]]
share3[(ps1+1),(ps2+2)] = s2[2][arr[5]]
#share4
share4[ps1,ps2] = s2[3][arr[0]]
share4[ps1,(ps2+1)] = s2[3][arr[1]]
share4[ps1,(ps2+2)] = s2[3][arr[2]]
share4[(ps1+1),ps2] = s2[3][arr[3]]
share4[(ps1+1),(ps2+1)] = s2[3][arr[4]]
share4[(ps1+1),(ps2+2)] = s2[3][arr[5]]
#2pixels has been encoded
j+=2
i+=1
pass
#generating shares
cv2.imwrite('share1.jpg', share1)
cv2.imwrite('share2.jpg', share2)
cv2.imwrite('share3.jpg', share3)
cv2.imwrite('share4.jpg', share4)
e2 = cv2.getTickCount()
time = (e2 - e1)/ cv2.getTickFrequency()
#combining the shares :
res12 = cv2.add(share1,share2)
cv2.imwrite('res12.jpg', res12)
res23 = cv2.add(share2,share3)
cv2.imwrite('res23.jpg', res23)
res34 = cv2.add(share3,share4)
cv2.imwrite('res34.jpg', res34)
print time
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