Box splines provide smooth spline spaces as shifts of a single generating function on a
lattice and so generalize tensor-product splines. Their elegant theory is laid out in classical …

We introduce a family of box splines for efficient, accurate, and smooth reconstruction of
volumetric data sampled on the body-centered cubic (BCC) lattice, which is the favorable …

The use of non-Cartesian grids is a niche but important topic in sub-fields of the numerical
sciences such as simulation and scientific visualization. However, non-Cartesian …

We demonstrate that non-separable box splines deployed on body centered cubic lattices
(BCC) are suitable for fast evaluation on present graphics hardware. Therefore, we develop …

B-splines are attractive basis functions for the continuous-domain representation of
biomedical images and volumes. In this paper, we prove that the extended family of box …

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 …

Interpolation is a foundational concept in scientific computing and is at the heart of many
scientific visualization techniques. There is usually a tradeoff between the approximation …

Streamline integration of fields produced by computational fluid mechanics simulations is a
commonly used tool for the investigation and analysis of fluid flow phenomena. Integration is …

In this article we propose a box spline and its variants for reconstructing volumetric data
sampled on the Cartesian lattice. In particular we present a tri-variate box spline …

In this paper, we demonstrate that quasi-interpolation of orders two and four can be
efficiently implemented on the Body-Centered Cubic (BCC) lattice by using tensor-product B …