This document summarizes a research paper that proposes a new medical image compression algorithm combining lifting wavelet transform with the Set Partitioning in Hierarchical Trees (SPIHT) coding algorithm. The algorithm applies lifting schemes to implement wavelet transforms, which decompose an image into sub-bands. It then uses SPIHT coding to efficiently encode the wavelet coefficients. Experimental results showed the proposed algorithm achieved higher peak signal-to-noise ratios than other compression methods like JPEG, making it superior for compressing medical images like MRI scans in both lossy and lossless formats.