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The main purpose of this book is to study and investigate the most important properties of integral transforms (the discrete Fourier transform, the discrete sine transform, and the discrete wavelet transform) and their mathematical aspects both from the theoretical point of view and for the application to image compression. As well as, we study the singular value decomposition method and its application to image representation. Two mathematical models are developed to improve the efficiency of the compressing process in the discrete wavelet transform and the discrete sine transform domains.

Produktbeschreibung
The main purpose of this book is to study and investigate the most important properties of integral transforms (the discrete Fourier transform, the discrete sine transform, and the discrete wavelet transform) and their mathematical aspects both from the theoretical point of view and for the application to image compression. As well as, we study the singular value decomposition method and its application to image representation. Two mathematical models are developed to improve the efficiency of the compressing process in the discrete wavelet transform and the discrete sine transform domains.
Autorenporträt
Ali Al-Fayadh is an Assistant Professor in the Department of Mathematics and Computer Applications, College of Science, Al-Nahrain University, Iraq. He is also served as the Director of the Scientific Affairs and Cultural Relations at the University. He received the PhD degree from the School of Computing and Mathematical Sciences, LJMU University.