Linear and Cubic Box Splines for the Body Centered Cubic Lattice

Authors:
Alireza Entezari;Ramsay Dyer;Torsten Moller
Affiliations:
Simon Fraser University;Simon Fraser University;Simon Fraser University
Venue:
VIS '04 Proceedings of the conference on Visualization '04
Year:
2004

Citing 13
Cited 13

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Abstract

In this paper we derive piecewise linear and piecewise cubic box spline reconstruction filters for data sampled on the body centered cubic (BCC) lattice. We analytically derive a time domain representation of these reconstruction filters and using the Fourier slice-projection theorem we derive their frequency responses. The quality of these filters, 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 filters applied to data sampled on the Cartesian lattice.