Image watermarking using polar harmonic transform with parameters in SL(2, r)

In this paper, a novel polar harmonic transform with parameters in SL ( 2 , R ) is proposed in order to increase the security of the watermark information. It is named as the Polar Linear Canonical Transform (PLCT) based on the linear canonical transform. Moreover, a watermarking scheme associated with the PLCT is presented, and the simulations are performed to verify the importance of parameters of the PLCT and improve the capabilities of the existing results on the watermarking information's security. The experimental results show that due to the varieties of parameters, if parameters chosen in the extraction process are inconsistent with those used in the embedding process, then the bit error rate is bigger which means it is worse than that of consistent parameters in the two processes. This confirms the fact that parameters of the PLCT have superior security for watermark information. HighlightsWe report on novel watermarking techniques associated with the linear canonical transform (LCT) which is one of the powerful tools in several areas such as image processing, signal processing and so on.By the help of LCT, a novel polar harmonc transform having a matrix parameter in the real special linear group SL ( 2 , R ) are proposed to improve the existing results on the watermark information security.The experimental results show that due to the varieties of parameters in SL ( 2 , R ) , if the parameters chosen in the extracting process are inconsistent with those chosen in the embedding process, the bit error rates are worse than those of consistent parameters in the two processes.This confirms the fact that the parameters of the proposed transforms have superior security for watermark information.

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