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Ph.D., D.Sc. Kajetana Marta Snopek
Faculty of Electronics and Information Technology
Nowowiejska 15/19, pokoj 443
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# Research Area Dziedzina naukowa
1 Theory and algorithms of intelligent hypercomplex signal processing: The research is concentrated on the theory and search of practical applications of theoretical results in multidimensional signal processing. Nowadays, the methods of intelligent signal processing are extensively developping as the alternative of conventional methods. Such an approach facilitates elaboration of effective algorithms of multidimensional signal processing using deep learning methods and neural networks. In the first stage of the research, the study of advanced conventional methods of multidimensional signal processing with emphasis on hypercomplex algebras of quaternions and octonions is required. Then, the deep study of the state-of-the art in the domain of intelligent methods of multidimensional signal processing is needed. During the research, new methods will be alaboarted and tested on real 3-D signals. Information and Communication Technology
2 Theoretical studies and experiments in the domain of multidimensional complex and hypercomplex signals: The research is focused on development of theory and looking for possible practical applications of theoretical results in 2-D and 3-D signal processing. The theoretical part concerns the development of theory of hypercomplex Cohen's class distributions and hypercomplex wavelet transformation and finding some mutual relations. The experimental part is the implementaion in an arbitrary chosen programming environment of research methods, elaborating new methods of visualization of multidimensional distributions and practical verificaltion of theoretical results on test and real images (also in 3-D). Information and Communication Technology