Accelerated Evaluation of Box Splines via a Parallel Inverse FFT
dc.contributor.author | McCool, Michael D. | en_US |
dc.date.accessioned | 2014-10-21T07:41:33Z | |
dc.date.available | 2014-10-21T07:41:33Z | |
dc.date.issued | 1996 | en_US |
dc.description.abstract | Box splines are a multivariate extension of uniform univariate B-splines. Direct evaluation of a box spline basis function can he difficult but they have a relatively simple Fourier transform and can therefore be evaluated with an inverse FFT. Symmetry recursive evaluation of the coefficients, and parallelization can be used to improve absolute performance. A windowing function can also he used to reduce truncation artifacts. We explore all these options in the context of a high-performance parallel implementation. Our goal is the provision of an empirical touchstone for the inverse FFT evaluation of box spline basis functions, for eventual application to forward projection (splat-based) volume rendering. | en_US |
dc.description.number | 1 | en_US |
dc.description.seriesinformation | Computer Graphics Forum | en_US |
dc.description.volume | 15 | en_US |
dc.identifier.doi | 10.1111/1467-8659.1510035 | en_US |
dc.identifier.issn | 1467-8659 | en_US |
dc.identifier.pages | 35-45 | en_US |
dc.identifier.uri | https://doi.org/10.1111/1467-8659.1510035 | en_US |
dc.publisher | Blackwell Science Ltd and the Eurographics Association | en_US |
dc.title | Accelerated Evaluation of Box Splines via a Parallel Inverse FFT | en_US |