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A Granular Three Dimensional Multiresolution Transform

Abstract

We 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 ?lters for this multi-resolution scheme.

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Supplemental Material
Citation
Category
Paper in Conference Proceedings or in Workshop Proceedings (Full Paper in Proceedings)
Event Title
Eurographics/IEEE-VGTC Symposium on Visualization 2006
Divisions
Visualization and Data Analysis
Subjects
Computergraphik
Event Location
Lisbon, Portugal
Event Type
Conference
Event Dates
08 May - 10 May 2006
Date
May 2006
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