A Granular Three Dimensional Multiresolution Transform

Entezari, Alireza; Meng, Tai; Bergner, Steven; Möller, Torsten

A Granular Three Dimensional Multiresolution Transform

Files

267-274.pdf (385.58 KB)

Date

2006

Authors

Entezari, Alireza
Meng, Tai
Bergner, Steven
Möller, Torsten

Publisher

The Eurographics Association

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 filters for this multi-resolution scheme.

        @inproceedings{:10.2312/VisSym/EuroVis06/267-274
,
booktitle = {EUROVIS - Eurographics /IEEE VGTC Symposium on Visualization
},
editor = {Beatriz Sousa Santos and Thomas Ertl and Ken Joy
},
title = {{A Granular Three Dimensional Multiresolution Transform
}},
author = {Entezari, Alireza and 
Meng, Tai and 
Bergner, Steven and 
Möller, Torsten
},
year = {2006
},
publisher = {The Eurographics Association
},
ISSN = {1727-5296
},
ISBN = {3-905673-31-2
},
DOI = {/10.2312/VisSym/EuroVis06/267-274
}
}