Halftone Image Data Hiding with Block-Overlapping Parity Check

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Halftone Image Data Hiding with Block-Overlapping Parity Check Richard Y. M. Li, Oscar C. Au, Carman K. M. Yuk, Shu-Kei Yip , Sui-Yuk Lam Department of Electronic and Computer Engineering The Hong Kong University of Science and Technology Reporter: Liu Rui 2008.5.6

Outline Introduction The Proposed BOPC Algorithm Experimental Results Conclusion

Introduction Hiding information into the digital media A new data hiding algorithm for halftone images named Block-Overlapping Parity Check(BOPC) Based on Data Hiding Smart Pair Toggling(DHSPT) Reduce the number of pair toggling required in DHSPT

Data Hiding Smart Pair Toggling(DHSPT) A pseudo-random number generator with a seed is used to identify the pseudo-random location where the data is embedded. The pixel at the location is 0 or 1 according to the data bit to be embedded.

Master pixel： Slave pixel： A pixel at a pseudo-random location needs to self-toggle There are M pixels of opposite color in the neighborhood. Slave pixel： One of the M pixels is chosen to self-toggle also. 1 1

Data Hiding Smart Pair Toggling(DHSPT) X1 X 2 X3 X4 X0 X5 X6 X7 X8 Where w(i) = 1 for i = 1, 3, 6, 8 and w(i) = 2 for i = 2, 4, 5, 7

Block-Overlapping Parity Check(BOPC) Master map Parity map Toggle map

Master map M S 1,1 121,133 1,2 193,34 …… 2,1 34,351 2,2 543,68 1 … 1 ……………………1……………… …………0………………………………………………………………………………1………………………1……………………0……………………………………………………………………1…………………… Master Map Host Image Location Mapping Table A pseudo-random number generator is used to generate a set of (2Lx+1)*(2Ly+1) pseudo-random

Parity map

Parity map Master Map Parity Map 1 1 1 1 P11=(M11+M12+M13+M21+M22+ 1 1 1 P11=(M11+M12+M13+M21+M22+ M23+M31+M32+M33)mod 2 =(1+0+1+0+1+1+1+0+0)mod 2 =1 P12=(M13+M14+M15+M23+M24+ M25+M33+M34+M35)mod 2 =(1+0+1+1+0+1+0+1+0)mod 2 =1

Toggle map Tij=Pij⊕Lij If Pij and Lij happen to be the same,Tij will be zero and no toggling is need.

Toggle map 1 L 1 ⊕ 1 P Toggle Map

Bubble Formation 1 1 3 2 4 1 3 3 2 2 Bubble Formation 2 4 4 2 4 4

Watermark Insertion

Example M 1 1 M’ 3 1 T’ 1 P 1 ⊕ 1 P’ 1 L T

Experimental Results

Conclusion Can hide a large amount of data in halftone images. Comparing with DHSPT,BOPC can reduce half of the pair toggling required. Has a high MPSNR and good visual quality as shown in the experimental results.