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For scalable coding, a high quality of the lowpass band of a wavelettransform is crucial when it is used as a downscaled version of the originalsignal. However, blur and motion can lead to disturbing artifacts. Byincorporating feasible compensation methods directly into the wavelettransform, the quality of the lowpass band can be improved. The displacement indynamic medical 3-D+t volumes from Computed Tomography is mainly given byexpansion and compression of tissue over time and can be modeled well bymesh-based methods. We extend a 2-D mesh-based compensation method to threedimensions to obtain a volume compensation method that can additionallycompensate deforming displacements in the third dimension. We show that a 3-Dmesh can obtain a higher quality of the lowpass band by 0.28 dB with less than40% of the model parameters of a comparable 2-D mesh. Results from losslesscoding with JPEG 2000 3D and SPECK3D show that the compensated subbands using a3-D mesh need about 6% less data compared to using a 2-D mesh.

3-D mesh compensated wavelet lifting for 3-D+t medical CT data