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Quartic Box-Spline Reconstruction on the BCC Lattice
Feb. 2013 (vol. 19 no. 2)
pp. 319-330
| ASCII Text | x | ||
| Minho Kim, "Quartic Box-Spline Reconstruction on the BCC Lattice," IEEE Transactions on Visualization and Computer Graphics, vol. 19, no. 2, pp. 319-330, Feb., 2013. | |||
| BibTex | x | ||
| @article{ 10.1109/TVCG.2012.130, author = { Minho Kim}, title = {Quartic Box-Spline Reconstruction on the BCC Lattice}, journal ={IEEE Transactions on Visualization and Computer Graphics}, volume = {19}, number = {2}, issn = {1077-2626}, year = {2013}, pages = {319-330}, doi = {http://doi.ieeecomputersociety.org/10.1109/TVCG.2012.130}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, } | |||
| RefWorks Procite/RefMan/Endnote | x | ||
| TY - JOUR JO - IEEE Transactions on Visualization and Computer Graphics TI - Quartic Box-Spline Reconstruction on the BCC Lattice IS - 2 SN - 1077-2626 SP319 EP330 EPD - 319-330 A1 - Minho Kim, PY - 2013 KW - splines (mathematics) KW - data visualisation KW - filtering theory KW - polynomial approximation KW - signal reconstruction KW - distributional aliasing characteristics KW - quartic box-spline reconstruction KW - BCC lattice KW - alternative box-spline filter KW - body-centered cubic lattice KW - seven-direction quartic box-spline KW - approximation order KW - eight-direction quintic box-spline KW - lower polynomial degree KW - quasiinterpolation prefilter reconstruction KW - integral filter metrics KW - frequency error kernels KW - Lattices KW - Spline KW - Polynomials KW - Approximation methods KW - Kernel KW - Rendering (computer graphics) KW - FCC KW - quasi-interpolation KW - Volume reconstruction KW - BCC lattice KW - box-spline VL - 19 JA - IEEE Transactions on Visualization and Computer Graphics ER - | |||
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/TVCG.2012.130
Web Extra: View Supplemental Material(PDF)
This paper presents an alternative box-spline filter for the body-centered cubic (BCC) lattice, the seven-direction quartic box-spline M7 that has the same approximation order as the eight-direction quintic box-spline M8 but a lower polynomial degree, smaller support, and is computationally more efficient. When applied to reconstruction with quasi-interpolation prefilters, M7 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," IEEE Transactions on Visualization and Computer Graphics, vol. 19, no. 2, pp. 319-330, Feb. 2013, doi:10.1109/TVCG.2012.130
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