##
Frequency Domain Volume Rendering

Takashi Totsuka and
Marc Levoy,
Proc. SIGGRAPH '93, Anaheim, California, August, 1993, pp.
271-278.
### Abstract:

The Fourier projection-slice theorem allows projections of volume data to be
generated in O(n^2 log n) time for a volume of size n^3. The method operates
by extracting and inverse Fourier transforming 2D slices from a 3D frequency
domain representation of the volume. Unfortunately, these projections do not
exhibit the occlusion that is characteristic of conventional volume renderings.
We present a new frequency domain volume rendering algorithm that replaces much
of the missing depth and shape cues by performing shading calculations in the
frequency domain during slice extraction. In particular, we demonstrate
frequency domain methods for computing linear or nonlinear depth cueing and
directional diffuse reflection. The resulting images can be generated an order
of magnitude faster than volume renderings and may be more useful for many
applications.
### Additional information available: