Volume data sets resulting from, e.g., computerized tomography (CT) or magn
etic resonance (MR) imaging modalities require enormous storage capacity ev
en at moderate resolution levels. Such large files may require compression
for processing in CPU memory which, however, comes at the cost of decoding
times and some loss in reconstruction quality with respect to the original
data. For many typical volume visualization applications (rendering of volu
me slices, subvolumes of interest, or isosurfaces) only a part of the volum
e data needs to be decoded. Thus, efficient compression techniques are need
ed that provide random access and rapid decompression of arbitrary parts th
e volume data. We propose a technique which is block based and operates in
the wavelet transformed domain. We report performance results which compare
favorably with previously published methods yielding large reconstruction
quality gains from about 6 to 12 dB in PSNR for a 512(3)-volume extracted f
rom the Visible Human data set. In terms of compression our algorithm compr
essed the data 6 times as much as the previous state-of-the-art block based
coder for a given PSNR quality.