Box Spline Reconstruction On The Face-Centered Cubic Lattice

We introduce and analyze an efficient reconstruction algorithm for FCC-sampled data. The reconstruction is based on the 6-direction box spline that is naturally associated with the FCC lattice and shares the continuity and approximation order of the triquadratic B-spline. We observe less aliasing for generic level sets and derive special techniques to attain the higher evaluation efficiency promised by the lower degree and smaller stencil-size of the C1 6-direction box spline over the triquadratic B-spline.

• Type: Conference
• Year: 2008
• Where: VIS
• Authors: Minho Kim, Alireza Entezari, Jörg Peters
• Keywords: 6-direction Box Spline, Efficient Reconstruction Algorithm, IEEE Visualization, Triquadratic B-spline, VIS 2008, Visualization