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In this paper, we describe a compression scheme for encoding time-varying isosurfaces and amorphous volumetric features (volumes within specified value ranges) in a unified way, which allows for on-line reconstruction and rendering. Since the size of even one frame in a time-varying data set is very large, transmission and on-line reconstruction are the main bottlenecks for interactive visualization of time-varying volume and surface data. To increase the run-time decompression speed and compression ratio, we decompose the volume into small blocks and encode only the significant blocks that contribute to the isosurface and volumetric features. The result shows that our compression scheme achieves high compression ratio with fast reconstruction, which is effective for client-side rendering of time-varying isosurfaces with amorphous volumetric features.