An image compression method using sparse representation and grey relation

Traditional wavelet transform needs to be improved and perfected in sparse representation. In this paper, we proposed an image compression algorithm based on grey relational theory in wavelet domain. We use the character of wavelet coefficients, and apply the grey relational theory in coefficients relational description, and then propose an image compression method via grey relational theory. We classify the coefficients according to their characters in different domains and construct the sparse representation method under different types of coefficients. The algorithm reduces the computational complexity and improves the ability of image sparse representation. It achieves an efficient way of image compression. The simulation results show that the proposed compression algorithm based on grey relational theory is superior to the other algorithms both in the visual quality and PSNR.