Box spline reconstruction on the face-centered cubic lattice

Minho Kim; Alireza Entezari; Jörg Peters

doi:10.1109/TVCG.2008.115

Box spline reconstruction on the face-centered cubic lattice

Minho Kim, Alireza Entezari, Jörg Peters

Department of Computer Science and Engineering

University of Florida

Research output: Contribution to journal › Article › peer-review

33 Scopus citations

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.

Original language	English
Article number	4658171
Pages (from-to)	1523-1530
Number of pages	8
Journal	IEEE Transactions on Visualization and Computer Graphics
Volume	14
Issue number	6
DOIs	https://doi.org/10.1109/TVCG.2008.115
State	Published - Nov 2008

Keywords

Box spline
Face-centered cubic lattice
Volumetric data reconstruction

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10.1109/TVCG.2008.115

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KW - Volumetric data reconstruction

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Box spline reconstruction on the face-centered cubic lattice

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Keywords

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