@InProceedings{EVL-2000-284,
  year =         "2000",
  title =        "The Multi-Dimensional Hartley Transform as a Basis for
                 Volume Rendering",
  author =       "Thomas Theussl and Robert F. Tobler and Eduard
                 Gr{\"o}ller",
  URL =          "http://visinfo.zib.de/EVlib/Show?EVL-2000-284",
  abstract =     "The Fast Hartley Transform (FHT), a discrete version
                 of the Hartley Transform (HT), has been studied in
                 various papers and shown to be faster and more
                 convenient to implement and handle than the
                 corresponding Fast Fourier Transform (FFT). As the HT
                 is not as nicely separable as the Fourier Transform
                 (FT), a multidimensional version of the HT needs to
                 perform a final correction step to convert the result
                 of separate HTs for each dimension into the final
                 multi-dimensional transform. Although there exist
                 algorithms for two and three dimensions, no
                 generalization to arbitrary dimensions can be found in
                 the literature. We demonstrate an easily comprehensible
                 and efficient implementation of the fast HT and its
                 multi-dimensional extension. By adapting this algorithm
                 to volume rendering by the projection-slice theorem and
                 by the use for filter analysis in frequency domain we
                 further demonstrate the importance of the HT in this
                 application area.",
  keywords =     "Hartley transform, Fourier transform, volume
                 rendering.",
  booktitle =    "WSCG 2000 Conference Proceedings",
}