  Hyperspectral imaging is an ubiquitous technique in solar physics
observations and the recent advances in solar instrumentation enabled us to
acquire and record data at an unprecedented rate. The huge amount of data which
will be archived in the upcoming solar observatories press us to compress the
data in order to reduce the storage space and transfer times. The correlation
present over all dimensions, spatial, temporal and spectral, of solar data-sets
suggests the use of a 3D base wavelet decomposition, to achieve higher
compression rates. In this work, we evaluate the performance of the recent
JPEG2000 Part 10 standard, known as JP3D, for the lossless compression of
several types of solar data-cubes. We explore the differences in: a) The
compressibility of broad-band or narrow-band time-sequence; I or V stokes
profiles in spectropolarimetric data-sets; b) Compressing data in
[x,y,$\lambda$] packages at different times or data in [x,y,t] packages of
different wavelength; c) Compressing a single large data-cube or several
smaller data-cubes; d) Compressing data which is under-sampled or super-sampled
with respect to the diffraction cut-off.
