Direction-Driven Shape-Based Interpolation of Volume Data

Jiří Hladůvka, Meister Eduard Gröller
Direction-Driven Shape-Based Interpolation of Volume Data
TR-186-2-01-12, May 2001 [ paper]
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Abstract

We present a novel approach to shape-based interpolation of gray-level volume data. In contrast to the segmentation-based techniques our method directly processes the scalar volume requiring no user interaction. The key idea is to perform the interpolation in the directions given by analysis of the eigensystem of the structure tensor. Our method processes a 256 x 256 slice within a couple of seconds yielding satisfactory results. We give a quantitative and a visual comparison to the linear inter-slice interpolation. Analysis of the results lead us to the conclusion that our technique has a strong potential to compete with well-established shape-based interpolation algorithms.

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@techreport{Hladuvka-2001-DDI,
  title =      "Direction-Driven Shape-Based Interpolation of Volume Data",
  author =     "Ji{\v r}{\' i} Hlad{\r u}vka and Meister Eduard
               Gr{\"o}ller",
  year =       "2001",
  abstract =   "We present a novel approach to shape-based interpolation of
               gray-level volume data. In contrast to the
               segmentation-based techniques our method directly processes
               the scalar volume requiring no user interaction. The key
               idea is to perform the interpolation in the directions given
               by analysis of the eigensystem of the structure tensor. Our
               method processes a 256 x 256 slice within a couple of
               seconds yielding satisfactory results. We give a
               quantitative and a visual comparison to the linear
               inter-slice interpolation. Analysis of the results lead us
               to the conclusion that our technique has a strong potential
               to compete with well-established shape-based interpolation  
                             algorithms.",
  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 =      may,
  number =     "TR-186-2-01-12",
  keywords =   "Eigensystem, Structure Tensor, Local Neighborhoods,
               Shape-based Interpolation",
  URL =        "http://www.cg.tuwien.ac.at/research/publications/2001/Hladuvka-2001-DDI/",
}