Sphere-packings, lattices, and groups
Sphere-packings, lattices, and groups
Space-time points: 4d splatting on efficient grids
VVS '02 Proceedings of the 2002 IEEE symposium on Volume visualization and graphics
Optimal regular volume sampling
Proceedings of the conference on Visualization '01
Isosurfaces on optimal regular samples
VISSYM '03 Proceedings of the symposium on Data visualisation 2003
An evaluation of reconstruction filters for volume rendering
VIS '94 Proceedings of the conference on Visualization '94
Linear and Cubic Box Splines for the Body Centered Cubic Lattice
VIS '04 Proceedings of the conference on Visualization '04
On visual quality of optimal 3D sampling and reconstruction
GI '07 Proceedings of Graphics Interface 2007
Hex-splines: a novel spline family for hexagonal lattices
IEEE Transactions on Image Processing
D2VR: high-quality volume rendering of projection-based volumetric data
EUROVIS'06 Proceedings of the Eighth Joint Eurographics / IEEE VGTC conference on Visualization
Aliasing properties of voxels in three-dimensional sampling lattices
LSSC'11 Proceedings of the 8th international conference on Large-Scale Scientific Computing
High-quality volumetric reconstruction on optimal lattices for computed tomography
EuroVis'09 Proceedings of the 11th Eurographics / IEEE - VGTC conference on Visualization
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There has been mounting evidence that the familiar Cartesian lattices, while convenient for signal processing and representation, are sub-optimal when it comes to signal fidelity. More suitable in this respect are optimal sampling lattices, such as the Hexagonal and Body Centered Cartesian (BCC) lattice, and recent work has employed these in the areas of volume rendering and image processing. In this paper we explore various applications of these lattices within the context of 3D Computed Tomographic Reconstruction, both in terms of the (2D) detector and the (3D) reconstructed object, and a theoretical analysis is provided. We combine this analysis with a practical application, that is, the use of these lattices within a real-time GPU-accelerated 3D reconstruction platform, in which performance is also of an immediate concern.