Fourier volume rendering

Abstract

In computer graphics we have traditionally rendered images of data sets specified spatially, Here, we present a volume rendering technique that operates on a frequency domain representa-tion of the data set and that efficiently generates line integral projections of the spatial data it represents, The motivation for this approach is that the Fourier Projection-Slice Theorem allows us to compute 2-D projections of 3-D data seta using only a 2-D slice of the data in the frequency domain. In general, these "X-ray-like" images can be rendered at a significantly lower computa-tional cost than images generated by current volume rendering techniques, Additionally, assur-ances of image accuracy can he made.