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Box Spline Reconstruction On The Face-Centered Cubic Lattice

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3 Author(s)
Minho Kim ; CISE Dept., Univ. of Florida, Gainesville, FL ; Entezari, A. ; Peters, J.

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.

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Visualization and Computer Graphics, IEEE Transactions on  (Volume:14 ,  Issue: 6 )