abstract:

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 tri-quadratic 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 $C^1$ 6-direction box
spline over the tri-quadratic B-spline.

paper webpage:

http://www.cise.ufl.edu/research/SurfLab/08vis/