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

dc.contributor.authorAlim, Usman R.en_US
dc.contributor.authorOliveira, Thiago Valentin deen_US
dc.contributor.editorE. Bertini and J. Kennedy and E. Puppoen_US
dc.date.accessioned2015-05-24T19:43:08Z
dc.date.available2015-05-24T19:43:08Z
dc.date.issued2015en_US
dc.description.abstractThe 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.sectionheadersVolume and Flow Visualizationen_US
dc.description.seriesinformationEurographics Conference on Visualization (EuroVis) - Short Papersen_US
dc.identifier.doi10.2312/eurovisshort.20151119en_US
dc.identifier.pages19-23en_US
dc.identifier.urihttps://doi.org/10.2312/eurovisshort.20151119en_US
dc.publisherThe Eurographics Associationen_US
dc.subjectI.3.3 [Computer Graphics]en_US
dc.subjectPicture/Image Generationen_US
dc.subjectLine and curve generationen_US
dc.titleA Quality-Preserving Cartesian to Body-Centered Cubic Downsampling Transformen_US
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