Abstract:

 In order to find a way to improve the performance of image compression, the characteristic and effect of 2D-DCT（Discrete Cosine Transform）, twodimensional tensor product wavelet，and the latest geometrical wavelet are compared. The same image is decomposed with different geometrical wavelet and then reconstructed with the same number of significant coefficients, thus the sparse representation capability of wavelet can be compared, the result shows that Bandelet and DCT are more efficient when require high compression ratio, while wavelet is still the most efficient tool when require high image quality.

Key words: image compression, wavelet, wedgelets, curvelets, contourlets, bandelet