Frequency-Domain Upsampling on a Body-Centered Cubic Lattice for Efficient and High-Quality Volume Rendering

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 trilinear filter is used, since its evaluation is directly supported by the recent GPUs. Although higher-order filters (e.g. quadratic or cubic filters) ensure much higher image quality, due to their larger support, they are significantly more expensive to evaluate even if a GPU acceleration is applied. Instead of higher-order filtering, in this paper, we propose a frequency-domain upsampling on an optimal BodyCentered Cubic (BCC) lattice. The obtained BCCsampled representation is rendered by using a simple GPU-accelerated trilinear B-spline reconstruction. Although this approach doubles the storage requirements, it provides similar quality as the most popular cubic filters, but for a significantly lower computational overhead.