DC-Splines: Revisiting the Trilinear Interpolation on the Body-Centered Cubic Lattice

Domonkos, Balázs; Csébfalvi, Balázs

DC-Splines: Revisiting the Trilinear Interpolation on the Body-Centered Cubic Lattice

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275-282.pdf (2.49 MB)

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Date

2010

Authors

Domonkos, Balázs
Csébfalvi, Balázs

Publisher

The Eurographics Association

Abstract

In this paper, we thoroughly study a trilinear interpolation scheme previously proposed for the Body-Centered Cubic (BCC) lattice. We think that, up to now, this technique has not received the attention that it deserves. By a frequency-domain analysis we show that it can isotropically suppress those aliasing spectra that contribute most to the postaliasing effect. Furthermore, we present an efficient GPU implementation, which requires only six trilinear texture fetches per sample. Overall, we demonstrate that the trilinear interpolation on the BCC lattice is competitive to the linear box-spline interpolation in terms of both efficiency and image quality. As a generalization to higher-order reconstruction, we introduce DC-splines that are constructed by convolving a Discrete filter with a Continuous filter, and easy to adapt to the Face-Centered Cubic (FCC) lattice as well.

        @inproceedings{:10.2312/PE/VMV/VMV10/275-282
,
booktitle = {Vision, Modeling, and Visualization (2010)
},
editor = {Reinhard Koch and Andreas Kolb and Christof Rezk-Salama
},
title = {{DC-Splines: Revisiting the Trilinear Interpolation on the Body-Centered Cubic Lattice
}},
author = {Domonkos, Balázs and 
Csébfalvi, Balázs
},
year = {2010
},
publisher = {The Eurographics Association
},
ISBN = {978-3-905673-79-1
},
DOI = {/10.2312/PE/VMV/VMV10/275-282
}
}