High-Quality Volume Rendering with Resampling in the Frequency Domain

Martin Artner
High-Quality Volume Rendering with Resampling in the Frequency Domain
[ Thesis]
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Abstract

This thesis introduces a volume rendering technique that is conceptually based on the shearwarp factorization. The novelty in our approach is that we perform the shear transformation entirely in the frequency domain. A compensation for the direction dependent sampling distance along the viewing rays, which is present in the standard shear-warp approach, is developed. This compensation is also carried out in the frequency domain and is capable of producing freely selectable sampling distances. 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 trials have shown that the presented method can outperform established algorithms in the quality of the resulting images. Especially in the case when the dataset was acquired according to the sampling theorem, the presented method is capable of a perfect reconstruction of the original function.

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@mastersthesis{Artner-2005-Thesis,
  title =      "High-Quality Volume Rendering with Resampling in the
               Frequency Domain",
  author =     "Martin Artner",
  year =       "2005",
  abstract =   "This thesis introduces a volume rendering technique that is
               conceptually based on the shearwarp factorization. The
               novelty in our approach is that we perform the shear
               transformation entirely in the frequency domain. A
               compensation for the direction dependent sampling distance
               along the viewing rays, which is present in the standard
               shear-warp approach, is developed. This compensation is also
               carried out in the frequency domain and is capable of
               producing freely selectable sampling distances. 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
               trials have shown that the presented method can outperform
               established algorithms in the quality of the resulting
               images. Especially in the case when the dataset was acquired
               according to the sampling theorem, the presented method is
               capable of a perfect reconstruction of the original
               function.",
  address =    "Favoritenstrasse 9-11/186, A-1040 Vienna, Austria",
  school =     "Institute of Computer Graphics and Algorithms, Vienna
               University of Technology",
  month =      jan,
  note =       "1",
  type =       "M.Sc. Thesis",
  URL =        "http://www.cg.tuwien.ac.at/research/publications/2005/Artner-2005-Thesis/",
}