Mathematics and Computer Applications - Sciene

The goal of this thesis is to design and implementation image compress and decompress wireless network system. The proposal wireless network system consisting of one central Personal Computer (PC) and two Personal Computers (PCs) that communicate with each other through router device. The central PC takes the responsibility of monitoring and controlling the PCs of the network. All network PCs communicate with each other by Transmission Control Protocol /Internet Protocol (TCP/IP) protocol suit.

The main purpose of this thesis 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.

  Alternating Direction Implicit method (ADI) was first suggested by Peaceman and Rachford in the mid-50s of the last century for solving systemsb of algebraic equations in two dimension of  aces[peaceman and rachford,1955], which results from the finite difference discretization method for solving PDEs; [Peaceman and Rachford,1955].