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Abstract

Although volume visualization has already grown out of its infancy, the most commonly used reconstruction techniques are still trilinear interpolation for function reconstruction and central differences (most often in conjunction with trilinear interpolation) for gradient reconstruction. Nevertheless, quite some research in the last few years was devoted to improve this situation. This paper surveys the more important methods, emphasizing selected work in function and gradient reconstruction, and gives an overview over the rather new development of exploiting curvature properties for volume visualization purposes.

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@techreport{Theussl-2001-RIV,
  title =      "Reconstruction Issues in Volume Visualization",
  author =     "Thomas Theu{\ss}l and Torsten M{\"o}ller and
               Ji{\v r}{\' i} Hlad{\r u}vka and Meister Eduard
               Gr{\"o}ller",
  year =       "2001",
  abstract =   "Although volume visualization has already grown out of its
               infancy, the most commonly used reconstruction techniques
               are still trilinear interpolation for function
               reconstruction and central differences (most often in
               conjunction with trilinear interpolation) for gradient
               reconstruction. Nevertheless, quite some research in the
               last few years was devoted to improve this situation. This
               paper surveys the more important methods, emphasizing
               selected work in function and gradient reconstruction, and
               gives an overview over the rather new development of
               exploiting curvature properties for volume                 
               visualization purposes.",
  address =    "Favoritenstrasse 9-11/186, A-1040 Vienna, Austria",
  institution = "Institute of Computer Graphics and Algorithms, Vienna
               University of Technology",
  note =       "human contact: technical-report@cg.tuwien.ac.at",
  month =      jun,
  number =     "TR-186-2-01-14",
  keywords =   "Taylor series expansion, frequency response, windowing,
               ideal reconstruction",
  URL =        "http://www.cg.tuwien.ac.at/research/publications/2001/Theussl-2001-RIV/",
}