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Image Compression plays a very important role in all multimedia services by reducing the number of bytes or bandwidth required to store or transmit the data. A real time based approach for image compression have been developed with the help of hierarchical decomposition and prediction. Keeping in view, the need of hour, this book should help to understand the consequences of hierarchical decomposition and prediction on predicted and reconstructed images. Analysis have been created for maximum level of decomposition of image. Proposed approach is implemented on distinct image file formats to analyse the best suitable file format for compression.This book mainly concerned with the compression at transmitting end when image is transmitted from one user to the other.