title: Box spline reconstruction on the face-centered cubic lattice.
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.
authors.affiliation: CISE Department, University of Florida, Florida, USA. mhkim@cise.ufl.edu
authors.forename: Minho
authors.initials: M
authors.lastname: Kim
authors.forename: Alireza
authors.initials: A
authors.lastname: Entezari
authors.forename: Jörg
authors.initials: J
authors.lastname: Peters