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In this work, we present a comparison between two techniques of imagecompression. In the first case, the image is divided in blocks which arecollected according to zig-zag scan. In the second one, we apply the FastCosine Transform to the image, and then the transformed image is divided inblocks which are collected according to zig-zag scan too. Later, in both cases,the Karhunen-Loeve transform is applied to mentioned blocks. On the other hand,we present three new metrics based on eigenvalues for a better comparativeevaluation of the techniques. Simulations show that the combined version is thebest, with minor Mean Absolute Error (MAE) and Mean Squared Error (MSE), higherPeak Signal to Noise Ratio (PSNR) and better image quality. Finally, newtechnique was far superior to JPEG and JPEG2000.

Fast Cosine Transform to increase speed-up and efficiency of Karhunen-Loeve Transform for lossy image compression