  Due to their high resolution, dynamic medical 2D+t and 3D+t volumes from
computed tomography (CT) and magnetic resonance tomography (MR) reach a size
which makes them very unhandy for teleradiologic applications. A lossless
scalable representation offers the advantage of a down-scaled version which can
be used for orientation or previewing, while the remaining information for
reconstructing the full resolution is transmitted on demand. The wavelet
transform offers the desired scalability. A very high quality of the lowpass
sub-band is crucial in order to use it as a down-scaled representation. We
propose an approach based on compensated wavelet lifting for obtaining a
scalable representation of dynamic CT and MR volumes with very high quality.
The mesh compensation is feasible to model the displacement in dynamic volumes
which is mainly given by expansion and contraction of tissue over time. To
achieve this, we propose an optimized estimation of the mesh compensation
parameters to optimally fit for dynamic volumes. Within the lifting structure,
the inversion of the motion compensation is crucial in the update step. We
propose to take this inversion directly into account during the estimation step
and can improve the quality of the lowpass sub-band by 0.63 and 0.43 dB on
average for our tested dynamic CT and MR volumes at the cost of an increase of
the rate by 2.4% and 1.2% on average.
