The objective of this book is to study and analyze the various views on the latest wavelet based algorithms and to represent them in some subjective and objective comparative form and calibrate the measures to generalize the theory in the presence of noise. This research work focuses on their utility and limitations pertaining to related applications of multi-wavelet based compression techniques. ; and are helpful to get better performance for desirable properties of wavelets, and it may be found suitable for enhancing the computability for compression of noisy images. The contribution of this book is to study and analysis of: *Effect of lossy compression techniques based Wavelet and Wavelet packet on compression ratio and quality of reconstructed images with and without noise, pertaining to various applications. *Performance analysis of various wavelet filters for image compression *Evaluation of Quality Measures for Image Data Compression in Frequency Domain *Image De-nosing through Decimated and Un-decimated Wavelet Transforms. *Evaluation of Multi-wavelets System for MRI (Magnetic Resonance Imaging) Image Compression Wavelet Filters Bank Approach.