Three-dimensional wavelet transform (3D-WT) has been proposed as basis for volumetric data coding, because it can provide lossless coding and top-quality reconstruction. These functionalities are very important for medical imaging. There are two different ways to perform the WT: the Non Standard or Classic WT versus the Standard WT. The latter is practically rejected for state-of-the-art coders because it demands more computing time. However, if it is lightly changed, it can deliver wavelet coefficients that get more coding efficiency with a little cost in time terms. In this paper we propose three 3D Standard WT-based decomposition algorithms that are able to prepare the wavelet coefficients during the spatial and temporal decomposition processes to reduce the most redundancy in data. We have conducted a set of experimental evaluations for a representative data set of a modality of intrinsically volumetric medical imaging: angiography sequences.