A Quality-Preserving Cartesian to Body-Centered Cubic Downsampling Transform
| dc.contributor.author | Alim, Usman R. | en_US |
| dc.contributor.author | Oliveira, Thiago Valentin de | en_US |
| dc.contributor.editor | E. Bertini and J. Kennedy and E. Puppo | en_US |
| dc.date.accessioned | 2015-05-24T19:43:08Z | |
| dc.date.available | 2015-05-24T19:43:08Z | |
| dc.date.issued | 2015 | en_US |
| dc.description.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. | en_US |
| dc.description.sectionheaders | Volume and Flow Visualization | en_US |
| dc.description.seriesinformation | Eurographics Conference on Visualization (EuroVis) - Short Papers | en_US |
| dc.identifier.doi | 10.2312/eurovisshort.20151119 | en_US |
| dc.identifier.pages | 19-23 | en_US |
| dc.identifier.uri | https://doi.org/10.2312/eurovisshort.20151119 | en_US |
| dc.publisher | The Eurographics Association | en_US |
| dc.subject | I.3.3 [Computer Graphics] | en_US |
| dc.subject | Picture/Image Generation | en_US |
| dc.subject | Line and curve generation | en_US |
| dc.title | A Quality-Preserving Cartesian to Body-Centered Cubic Downsampling Transform | en_US |