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Issue No.02 - Feb. (2013 vol.19)

pp: 319-330

Minho Kim , Sch. of Comput. Sci., Univ. of Seoul, Seoul, South Korea

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/TVCG.2012.130

ABSTRACT

This paper presents an alternative box-spline filter for the body-centered cubic (BCC) lattice, the seven-direction quartic box-spline M

_{7}that has the same approximation order as the eight-direction quintic box-spline M_{8}but a lower polynomial degree, smaller support, and is computationally more efficient. When applied to reconstruction with quasi-interpolation prefilters, M_{7}shows less aliasing, which is verified quantitatively by integral filter metrics and frequency error kernels. To visualize and analyze distributional aliasing characteristics, each spectrum is evaluated on the planes and lines with various orientations.INDEX TERMS

splines (mathematics), data visualisation, filtering theory, polynomial approximation, signal reconstruction, distributional aliasing characteristics, quartic box-spline reconstruction, BCC lattice, alternative box-spline filter, body-centered cubic lattice, seven-direction quartic box-spline, approximation order, eight-direction quintic box-spline, lower polynomial degree, quasiinterpolation prefilter reconstruction, integral filter metrics, frequency error kernels, Lattices, Spline, Polynomials, Approximation methods, Kernel, Rendering (computer graphics), FCC, quasi-interpolation, Volume reconstruction, BCC lattice, box-spline

CITATION

Minho Kim, "Quartic Box-Spline Reconstruction on the BCC Lattice",

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