A Quality-Preserving Cartesian to Body-Centered Cubic Downsampling Transform

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Date
2015
Authors
Alim, Usman R.
Oliveira, Thiago Valentin de
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association
Abstract
The body-centered cubic lattice is the optimal sampling lattice in three dimensions. However, most volumetric datasets are acquired on the well-known Cartesian cubic lattice. In order to leverage the approximation capabilities of the body-centred cubic lattice, we propose a factor-of-four Cartesian to body-centered downsampling transform. We derive a Fourier domain post-aliasing error kernel and use it to optimize the cosine-weighted trilinear B-spline kernel. We demonstrate that our downsampling transform preserves fidelity when an oversampled function of interest is reconstructed with trilinear interpolation on the fine-scale Cartesian grid, and optimized cosine-weighted trilinear approximation on the coarse-scale body-centered cubic grid.
Description

        
@inproceedings{
10.2312:eurovisshort.20151119
,
booktitle = {
Eurographics Conference on Visualization (EuroVis) - Short Papers
},
editor = {
E. Bertini and J. Kennedy and E. Puppo
},
title = {{
A Quality-Preserving Cartesian to Body-Centered Cubic Downsampling Transform
}},
author = {
Alim, Usman R.
 and 
Oliveira, Thiago Valentin de
},
year = {
2015
},
publisher = {
The Eurographics Association
},
ISBN = {},
DOI = {
10.2312/eurovisshort.20151119
}
}
Citation
URI
https://doi.org/10.2312/eurovisshort.20151119
Collections
EuroVisShort2015