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 …

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 …

In this paper, Cosine-Weighted B-spline (CWB) filters are proposed for interpolation on the
optimal Body-Centered Cubic (BCC) lattice. We demonstrate that our CWB filters can well …

In this paper, we present two methods for accurate gradient estimation from scalar field data
sampled on regular lattices. The first method is based on the multidimensional Taylor series …

We consider an isolated point defect embedded in a homogeneous crystalline solid. We
show that, in the harmonic approximation, a periodic supercell approximation of the …

In this paper, we show fast Fourier transform (FFT) algorithms for efficient, non-redundant
evaluations of discrete Fourier transforms (DFTs) on face-centered cubic (FCC) and body …

This paper discusses the efficient, non-redundant evaluation of a Discrete Fourier Transform
on the three dimensional Body-Centered and Face-Centered Cubic lattices. The key idea is …

Abstract Cosine‐Weighted B‐spline (CWB) interpolation [Csé13] has been originally
proposed for volumetric data sampled on the Body‐Centered Cubic (BCC) lattice. The BCC …

In this paper, we thoroughly study a trilinear interpolation scheme previously proposed for
the Body-Centered Cubic (BCC) lattice. We think that, up to now, this technique has not …

In volume-rendering applications, an appropriate resampling filter can be chosen by making
a compromise between quality and efficiency. For realtime volume visualization, usually the …