In this study, we have explored two compression techniques, i.e., 3-D displacement estimated interframe coding algorithm (DEICA) and 2-D DCT algorithm, applied them in ultrasound image compression and assessed their feasibility. A sequence of 96 128 X 128 X 8- bit parallel slices and a set of 25 360 X 264 X 8-bit time-sequence images have been used in our experiments, and compression ratios in the range of 6 - 20 to 1 and 4 - 5 to 1 have been obtained in DEICA, while the mean square error was kept to less than 4.0. While DEICA has achieved higher compression ratios in x-ray CT images than the 2-D DCT algorithm at the same distortion, DEICA has not shown any improvement in compressing ultrasound images. This is mainly due to the fact that statistics within the difference image are sometimes degraded in ultrasound images. After fine-tuning the DEICA by adjusting key parameters based on the statistics of ultrasound images and reducing the speckle noise, higher compression ratios are expected. In the future, 3-D or time-sequence images will have more frame-by-frame correlation and less speckle noise patterns with the technical advances in ultrasound probes and data acquisition & image computing technologies. Furthermore, 3-D ultrasound imaging systems will become more popular and the amount of data generated by these devices will increase even further. These new developments might make DEICA more attractive.