Any image can be segmented into regions containing information without the background that can be added at the reconstruction stage thus providing a lossless compression of approximately 3:1 in most cases. When this segmentation process is combined with an adaptive arithmetic coding model, an extremely efficient and powerful lossless coding model yielding compression ratios up to 9:1 can be developed. Such models will be quite useful for archiving wide varieties of biomedical images losslessly.