Entezari, AlirezaMeng, TaiBergner, StevenMöller, TorstenBeatriz Sousa Santos and Thomas Ertl and Ken Joy2014-01-312014-01-3120063-905673-31-21727-5296https://doi.org/10.2312/VisSym/EuroVis06/267-274We propose a three dimensional multi-resolution scheme to represent volumetric data in resolutions which are powers of two, resolving the rigidity of the commonly used separable Cartesian multi-resolution schemes in 3D that only allow for change of resolution by a power of eight. Through in-depth comparisons with the counterpart resampling solutions on the Cartesian lattice, we demonstrate the superiority of our subsampling scheme. We derive and document the Fourier domain analysis of this representation. Using such an analysis one can obtain ideal and discrete multidimensional filters for this multi-resolution scheme.Categories and Subject Descriptors (according to ACM CCS): G.1.1 [Numerical Analysis]: Approximation I.4.10 [Image Processing and Computer Vision]: Image Representation, Volumetric