الخلاصة

In this study we will provide a new way of images compression based on two mathematic concepts, these two concepts are Singular Value Decomposition (SVD) and Block Truncation Coding. The input image either is in JPEG format or in BMP format and the current way suitable for both color and gray scale images. The input image will be compressed first by reducing the image matrix rank, which achieved by using the SVD process and then the result matrix compressed by using BTC. The proposed algorithm gives further lossless compression to JPEG compression process and the rate of compression reach more than 99%.