Box spline reconstruction on the face-centered cubic lattice

Minho Kim, Alireza Entezari, Jörg Peters

Research output: Contribution to journalArticlepeer-review

33 Scopus citations


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.

Original languageEnglish
Article number4658171
Pages (from-to)1523-1530
Number of pages8
JournalIEEE Transactions on Visualization and Computer Graphics
Issue number6
StatePublished - Nov 2008


  • Box spline
  • Face-centered cubic lattice
  • Volumetric data reconstruction


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