We compare the new still-image compression standard, JPEG2000, with two competing algorithms based on the Wavelet Difference Reduction (WDR) technique of encoding. Our comparison shows that these WDR methods provide far simpler encoding while also providing essentially the same performance as JPEG2000 at moderately high to very high compression ratios. They provide useful alternative algorithms for applications where high compression ratios are needed and/or further processing of the compressed images is needed.