Box spline reconstruction on the face-centered cubic lattice
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Updated: Jun 28, 2026

Outer-Boundary Assisted Segmentation and Quantification of Trabecular Bones by an Imagej Plugin
Published on: March 14, 2018
Minho Kim1, Alireza Entezari, Jörg Peters
1CISE Department, University of Florida, Florida, USA. mhkim@cise.ufl.edu
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 C1 6-direction box spline over the triquadratic B-spline.
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