Quasi-interpolation on the body centered cubic lattice

Authors:
A. Entezari;M. Mirzargar;L. Kalantari
Affiliations:
Computer and Information Science & Engineering Department, University of Florida, Gainesville, FL;Computer and Information Science & Engineering Department, University of Florida, Gainesville, FL;Computer and Information Science & Engineering Department, University of Florida, Gainesville, FL
Venue:
EuroVis'09 Proceedings of the 11th Eurographics / IEEE - VGTC conference on Visualization
Year:
2009

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Abstract

This paper introduces a quasi-interpolation method for reconstruction of data sampled on the Body Centered Cubic (BCC) lattice. The reconstructions based on this quasi-interpolation achieve the optimal approximation order offered by the shifts of the quintic box spline on the BCC lattice. We also present a local FIR filter that is used to filter the data for quasi-interpolation. We document the improved quality and fidelity of reconstructions after employing the introduced quasi-interpolation method. Finally the resulting quasi-interpolation on the BCC sampled data are compared to the corresponding quasi-interpolation method on the Cartesian sampled data.