Image Compression Method Based on QR-Wavelet ‎Transformation

Subject Areas : International Journal of Industrial Mathematics

N. Biranvand ^{1 *} , H. Parvizi Mosaed ²

1 - Faculty of Sciences, Imam Ali University, Tehran, Iran
2 - Faculty of Sciences, Imam Ali University, Tehran, Iran

Received: 2017-09-06 Accepted : 2018-05-18 Published : 2018-08-01

Keywords: Matrix factorization, PSN&rlm, R, Image compression, Wavelets,

Abstract :

In this paper, a procedure is reported that discuss how linear algebra can be used in image compression. The basic idea is that each image can be represented as a matrix. We apply linear algebra (QR ‎factorization and wavelet ‎transformation ‎algorithm s) on this matrix and get a reduced matrix out such that the image corresponding to this reduced matrix requires much less storage space than the original image.