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

Alim, Usman R.; Oliveira, Thiago Valentin de

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

Files

019-023.pdf (1.21 MB)

supplementary_material.zip (1.55 MB)

Date

2015

Authors

Alim, Usman R.
Oliveira, Thiago Valentin de

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.

        @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
}
}