Abstract The Body Centered Cubic (BCC) and Face Centered Cubic (FCC) lattices along
with a set of box splines for sampling and reconstruction of trivariate functions are proposed …

We present a quasi interpolation framework that attains the optimal approximation-order of
Voronoi splines for reconstruction of volumetric data sampled on general lattices. The quasi …

In many applications in computed tomography, practical limitations in data acquisition
restrict the number of projections (views). The use of the standard convolution …

In an effort to increase automobile fuel efficiency as well as decrease the output of harmful
greenhouse gases, the automotive industry has recently shown increased interest in cast …

Sampling and reconstruction appear ubiquitously in many scientific and engineering
applications. Conventionally, the Cartesian lattice has been used, while sampling on certain …

Hexagonal sampling or interleaved sampling scheme for CT scanning has been
uncommonly used. The common approach for sampling a sinogram in CT is following …

This work provides a novel method that extracts isosurfaces from face-centered cubic (FCC)
lattices. It has been theoretically shown that sampling volumetric data on an FCC lattice tiled …