Multiresolution decomposition using morphological filters for 3D volume image decorrelation

The efficiency of multiresolution decomposition using morphological filters for 3D volume image decorrelation in lossless compression and computational complexity are evaluated. More efficient decorrelation is performed using morphological wavelets for multiresolution data representation than using Laplacian style pyramidal decomposition with morphological filters. Morphological wavelets are also faster in implementation than morphological pyramids. The computation time of the multiresolution decomposition implemented by morphological wavelets is 3 times shorter than the computation time of the wavelet decomposition with 5/3 filters used in JPEG2000 standard with similar decorrelation efficiency for lossless compression.