Linear and Cubic Box Splines for the Body Centered Cubic Lattice

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.

• Type: Conference
• Year: 2004
• Where: VIS
• Authors: Alireza Entezari, Ramsay Dyer, Torsten Möller
• Keywords: Cartesian Lattice, Similar Filters, Spline Reconstruction Filters, VIS 2004, Visualization