In this paper we derive piecewise linear and piecewise cubic box spline reconstruction �lters for data sampled on the body centered cubic (BCC) lattice. We analytically derive a time domain representation of these reconstruction �lters and using the Fourier slice-projection theorem we derive their frequency responses. The quality of these �lters, when used in reconstructing BCC sampled volumetric data, is discussed and is demonstrated with a raycaster. Moreover, to demonstrate the superiority of the BCC sampling, the resulting reconstructions are compared with those produced from similar �lters applied to data sampled on the Cartesian lattice.

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