The frequency domain volume rendering approach generates line integral projections of spatial data utilizing the Fourier Projection-Slice Theorem. Compared to spatial domain rendering, the computational cost is reduced from O(N3) to O(N2logN). However, this rendering technique has limited ability for interaction or manipulation of the rendered data. One of the common operations in the manipulation of volume data is planar-clipping or sectioning which reduces the visual complexity of the data and improves our ability to visualize information contained within the volume data. A method to implement spatial volume clipping in the frequency domain is described.
Pedro J. Diaz,
Errol M. Bellon,
"Frequency domain clipping for volume rendering", Proc. SPIE 2707, Medical Imaging 1996: Image Display, (15 April 1996); doi: 10.1117/12.238477; https://doi.org/10.1117/12.238477