High-Quality Volume Rendering with Resampling in the Frequency Domain

Martin Artner, Torsten Möller, Ivan Viola, Meister Eduard Gröller
High-Quality Volume Rendering with Resampling in the Frequency Domain
In Proceedings of EuroVis, pages 85-92. June 2005.
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Abstract

This work introduces a volume rendering technique that is conceptually based on the shear-warp factorization. We propose to perform the shear transformation entirely in the frequency domain. Unlike the standard shear-warp algorithm, we allow for arbitrary sampling distances along the viewing rays, independent of the view direction. The accurate scaling of the volume slices is achieved by using the zero padding interpolation property. Finally, a high quality gradient estimation scheme is presented which uses the derivative theorem of the Fourier transform. Experimental results have shown that the presented method outperforms established algorithms in the quality of the produced images. If the data is sampled above the Nyquist rate the presented method is capable of a perfect reconstruction of the original function.

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@inproceedings{Artner-2005-Hig,
  title =      "High-Quality Volume Rendering with Resampling in the
               Frequency Domain",
  author =     "Martin Artner and Torsten M{\"o}ller and Ivan Viola and
               Meister Eduard Gr{\"o}ller",
  year =       "2005",
  abstract =   "This work introduces a volume rendering technique that is
               conceptually based on the shear-warp factorization. We
               propose to perform the shear transformation entirely in the
               frequency domain. Unlike the standard shear-warp algorithm,
               we allow for arbitrary sampling distances along the viewing
               rays, independent of the view direction. The accurate
               scaling of the volume slices is achieved by using the zero
               padding interpolation property. Finally, a high quality
               gradient estimation scheme is presented which uses the
               derivative theorem of the Fourier transform. Experimental
               results have shown that the presented method outperforms
               established algorithms in the quality of the produced
               images. If the data is sampled above the Nyquist rate the
               presented method is capable of a perfect reconstruction of
               the original function.",
  pages =      "85--92",
  month =      jun,
  booktitle =  "Proceedings of EuroVis",
  isbn =       "3-905673-19-3",
  location =   "Leeds, United Kingdom",
  URL =        "http://www.cg.tuwien.ac.at/research/publications/2005/Artner-2005-Hig/",
}