@misc{Luo_Hui-Xin_Robust_2023, author={Luo, Hui-Xin and Gong, Li-Hua and Chen, Su-Hua}, contributor={Urbańczyk, Wacław. Redakcja}, identifier={DOI: 10.37190/oa230208}, year={2023}, rights={Wszystkie prawa zastrzeżone (Copyright)}, publisher={Oficyna Wydawnicza Politechniki Wrocławskiej}, description={Optica Applicata, Vol. 53, 2023, nr 2, s. 261-280}, description={Optica Applicata is an international journal, published in a non-periodical form in the years 1971-1973 and quarterly since 1973. From the beginning of the year 2008, Optica Applicata is an Open Access journal available online via the Internet, with free access to the full text of articles serving the best interests of the scientific community. The journal is abstracted and indexed in: Chemical Abstracts, Compendex, Current Contents, Inspec, Referativnyj Zhurnal, SCI Expanded, Scopus, Ulrich’s Periodicals Directory}, description={http://opticaapplicata.pwr.edu.pl/}, language={eng}, abstract={A robust dual color images watermarking algorithm is designed based on quaternion discrete fractional angular transform (QDFrAT) and genetic algorithm. To guarantee the watermark security, the original color watermark image is encrypted with a 4D hyperchaotic system. A pure quaternion matrix is acquired by performing the discrete wavelet transform (DWT), the block division and the discrete cosine transform on the original color cover image. The quaternion matrix is operated by the QDFrAT to improve the robustness and the security of the watermarking scheme with the optimal transform angle and the fractional order. Then the singular value matrix is obtained by the quaternion singular value decomposition (QSVD) to further enhance the scheme’s stability. The encryption watermark is also processed by DWT and QSVD. Afterward, the singular value matrix of the encryption watermark is embedded into the singular value matrix of the host image by the optimal scaling factor. Moreover, the values to balance imperceptibility and robustness are optimized with a genetic algorithm. It is shown that the proposed color image watermarking scheme performs well in imperceptibility, security, robustness and embedding capacity.}, type={artykuł}, title={Robust dual color images watermarking scheme with hyperchaotic encryption based on quaternion DFrAT and genetic algorithm}, keywords={optyka, color image watermarking, hyperchaotic encryption, quaternion discrete fractional angular transform, quaternion singular value decomposition, genetic algorithm}, }