Box Spline Reconstruction On The Face-Centered Cubic Lattice

Authors:
Minho Kim;Alireza Entezari;Jörg Peters
Affiliations:
University of Florida;University of Florida;University of Florida
Venue:
IEEE Transactions on Visualization and Computer Graphics
Year:
2008

Citing 0
Cited 7

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Abstract

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 $C^1$ 6-direction box spline over the triquadratic B-spline.