Box Spline Reconstruction On The Face-Centered Cubic Lattice

Box Spline Reconstruction On The Face-Centered Cubic Lattice

We introduce and analyze an efficient reconstruction algorithm for FCC-sampled data. The reconstruction is based on the 6-direction box spline that is naturally associated with the FCC lattice and shares the continuity and approximation order of the triquadratic B-spline. We observe less aliasing fo...

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Veröffentlicht in:IEEE transactions on visualization and computer graphics 2008-11, Vol.14 (6), p.1523-1530
Hauptverfasser: Minho Kim, Entezari, A., Peters, J.
Format: Artikel
Sprache:eng
Schlagworte:
Algorithm design and analysis
Algorithms
Approximation
Approximation algorithms
box spline
Continuity
Face-Centered Cubic lattice
FCC
Filters
Index Terms&#8212
Lattices
Level set
Mathematical analysis
Reconstruction
Reconstruction algorithms
Sampling methods
Signal resolution
Spline
Splines
Visualization
volumetric data reconstruction
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Beschreibung
Zusammenfassung:We introduce and analyze an efficient reconstruction algorithm for FCC-sampled data. The reconstruction is based on the 6-direction box spline that is naturally associated with the FCC lattice and shares the continuity and approximation order of the triquadratic B-spline. We observe less aliasing for generic level sets and derive special techniques to attain the higher evaluation efficiency promised by the lower degree and smaller stencil-size of the C1 6-direction box spline over the triquadratic B-spline.
ISSN:1077-2626
1941-0506
DOI:10.1109/TVCG.2008.115